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Paper Citation Record · LEDGER

Three-layer water flows: Dirichlet-Neumann operators and approximations

As of 14 August 2026, this Paper Citation Record lists 71 of 71 outbound references and 0 inbound Pith citation observations for arXiv:2608.06314.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2608.06314 v1

Coverage vector

measured 71 of 71 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:47:16.929573Z

measured 71 of 71 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

71 of 71 outbound references displayed

  • verified exact7
  • verified fuzzy47
  • unresolved14
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a17c1820-caf1-44eb-994c-d3cef1e2fb4d · outbound

This paper cites Alvarez-Samaniego and D.

Three-layer water flows: Dirichlet-Neumann operators and approximations Alvarez-Samaniego and D

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation f1a8436f-b91a-4602-9436-d799451f178d · outbound

This paper cites an unresolved cited work.

Three-layer water flows: Dirichlet-Neumann operators and approximations Unresolved cited work

Reference 2

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unresolved
raw_fallback, observed 2026-08-07T05:47:30.176988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 8a786675-e262-45d3-bd74-e67d467397ed · outbound

This paper cites Baldi, M.

Three-layer water flows: Dirichlet-Neumann operators and approximations Baldi, M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:29.990913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation b8fb88b0-8f65-4783-a434-eb40f5e42743 · outbound

This paper cites an unresolved cited work.

Three-layer water flows: Dirichlet-Neumann operators and approximations Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:47:29.814953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 945b67e0-42ea-4581-a4db-a4047820488b · outbound

This paper cites Berti, L.

Three-layer water flows: Dirichlet-Neumann operators and approximations Berti, L

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:29.608016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:12.257120Z digest=sha256:1e7661c7ea7a469f054a6a7871503af9623a3aa31dfe14c12a69cc55b3d79131

Observation 5ef9ef14-5388-4091-b9ea-38dcdbaec414 · outbound

This paper cites Benjamin and T.J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Benjamin and T.J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:29.319429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation ae513e85-de12-45e9-a24e-7a2fa1102c7f · outbound

This paper cites Benjamin and T.J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Benjamin and T.J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:29.126057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:12.412565Z digest=sha256:c93eebfe77baadfb67a9bcb0844f97bed1444426f76c3d3eb94489a4b01c7320

Observation 8e483d12-ae16-4dfe-ae50-d45d65a088b5 · outbound

This paper cites an unresolved cited work.

Three-layer water flows: Dirichlet-Neumann operators and approximations Unresolved cited work

Reference 8

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:47:12.521594Z digest=sha256:b3685fb48e44126293c5927126537bfc412661b427eab2b893823b1d93cd5939

Observation d700656c-408a-4ce4-bc22-07e981b29b1a · outbound

This paper cites Camassa, G.

Three-layer water flows: Dirichlet-Neumann operators and approximations Camassa, G

Reference 9

Resolution
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raw_fallback, observed 2026-08-07T05:47:28.914068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:12.591765Z digest=sha256:3bd56d7fad6863b7a66092935f19fbdba96432433bd105b31b38d40a80cd8ae1

Observation 3b0b5271-3806-4aa3-844c-a4338284e53b · outbound

This paper cites Canning Gregory and D.P.

Three-layer water flows: Dirichlet-Neumann operators and approximations Canning Gregory and D.P

Reference 10

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raw_fallback, observed 2026-08-07T05:47:18.832649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:12.654552Z digest=sha256:ba3c066b0f533cd534e1153f10340f28ea5591508ace1d9c7f9db0c511f53a0d

Observation a8c87fd2-bc6e-469b-ac62-00605b77e954 · outbound

This paper cites Choi and R.

Three-layer water flows: Dirichlet-Neumann operators and approximations Choi and R

Reference 11

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verified fuzzy
raw_fallback, observed 2026-08-07T05:47:28.687472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:12.710325Z digest=sha256:58afc2ca82262f3b3f612ae2610af8b5090ab6c91a9631c7d81e97d292f44e0e

Observation 08b0dce7-ff19-4b00-975a-1a8d05b199c8 · outbound

This paper cites Choi and R.

Three-layer water flows: Dirichlet-Neumann operators and approximations Choi and R

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:28.588407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:12.796084Z digest=sha256:028ebdbed0980b8569f4af71077a3ae92211cae01d9e1c868bb994a706e02434

Observation b5ff6df3-899d-497c-8b77-8672f0257334 · outbound

This paper cites Clamond, Explicit Dirichlet-Neumann operator for water waves.

Three-layer water flows: Dirichlet-Neumann operators and approximations Clamond, Explicit Dirichlet-Neumann operator for water waves

Reference 13

Resolution
verified exact
doi, observed 2026-08-07T05:47:17.676114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:12.862124Z digest=sha256:ee9a357268e68f1977dade07c1fb3ffca70be40d88a9771b63afa16ba4f72dde

Observation 7f7fe0ac-01a7-4158-9f94-547a3c7cbfe2 · outbound

This paper cites The Dynamics of Flat Surface Internal Geophysical Waves with Currents.

Three-layer water flows: Dirichlet-Neumann operators and approximations The Dynamics of Flat Surface Internal Geophysical Waves with Currents

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T05:47:12.944135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:47:12.944135Z digest=sha256:be68bf99e61b1f463cd73a6b761979db6516882b6ca85d2293e804f3f2db613a

Observation eda18f36-50ae-44e7-86cc-b39d8d9470b0 · outbound

This paper cites Hamiltonian models for the propagation of irrotational surface gravity waves over a variable bottom.

Three-layer water flows: Dirichlet-Neumann operators and approximations Hamiltonian models for the propagation of irrotational surface gravity waves over a variable bottom

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:47:18.530763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:13.006166Z digest=sha256:c87e43d0348a9b3ff3926d3d351114eb2a1daf9c51ebdfd49c0d11cdae883c99

Observation 3f4c5bcf-c03c-417d-abfe-242e38493297 · outbound

This paper cites Surface waves over currents and uneven bottom.

Three-layer water flows: Dirichlet-Neumann operators and approximations Surface waves over currents and uneven bottom

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T05:47:13.131314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:47:13.131314Z digest=sha256:c3ad8e425739fda8efc434bc549e5e36e5fb8bc8f21f1126c5c68cfa739ea407

Observation fccb5fcd-226a-459d-9c42-4490bbb7761b · outbound

This paper cites Constantin, Some three-dimensional nonlinear equatorial flows, J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Constantin, Some three-dimensional nonlinear equatorial flows, J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:28.428731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:13.215092Z digest=sha256:35a2272aecaf8a4388cd59261aa46d2ec23fec8eeeb9c413af827b3c664aae8f

Observation 430cb0d4-4ea7-4f35-84aa-9080123b9418 · outbound

This paper cites Constantin, Some nonlinear, equatorially trapped, nonhydrostatic internal geophysical waves, J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Constantin, Some nonlinear, equatorially trapped, nonhydrostatic internal geophysical waves, J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:28.266203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:13.259383Z digest=sha256:847506cbc0a964f82d290fac751dfe9aea0e5879af652febe0d397020c8724dc

Observation 98aa3291-250a-47f7-9534-0708c9cb2e02 · outbound

This paper cites Constantin and R.I.

Three-layer water flows: Dirichlet-Neumann operators and approximations Constantin and R.I

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-07T05:47:13.297971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:47:13.297971Z digest=sha256:24458a06fb735757d73bb523965f1f589ec6c89d6464f6151e0ba4a3c3a7d22f

Observation 7a3642bb-2b36-40de-95c5-4e4cea33bc12 · outbound

This paper cites Constantin, R.

Three-layer water flows: Dirichlet-Neumann operators and approximations Constantin, R

Reference 20

Resolution
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no resolver link, observed 2026-08-07T05:47:13.379545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:47:13.379545Z digest=sha256:608e5e01e1d20c558d292615a4ee24e1a3edaad7f19a55120f2064403944a247

Observation 8e26c6b0-a220-4180-a4dd-f65915583d70 · outbound

This paper cites Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity.

Three-layer water flows: Dirichlet-Neumann operators and approximations Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-07T05:47:13.447541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:47:13.447541Z digest=sha256:451d5668676d36868be1a482b80fcb37aff5bc89c8f7e1ee2d3e8a652b186108

Observation 630275ce-651d-4630-aeb0-2c60fa52f209 · outbound

This paper cites Constantin and R.

Three-layer water flows: Dirichlet-Neumann operators and approximations Constantin and R

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:28.061841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:13.509941Z digest=sha256:d6cda986fe55075eef6e3dec5b0116a3083e292a1e050b814912763aa07bebf2

Observation 6b7da186-ec81-4fbd-aa06-3b9208c55ddc · outbound

This paper cites Constantin and R.S.

Three-layer water flows: Dirichlet-Neumann operators and approximations Constantin and R.S

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:27.836544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:13.544515Z digest=sha256:360f197784251667a93bf4d3bc8cdc300505260170611814edb35ea61adaf6c9

Observation b63f6e10-4607-479f-89b7-1cce6c1c622f · outbound

This paper cites Cotter, D.D.

Three-layer water flows: Dirichlet-Neumann operators and approximations Cotter, D.D

Reference 24

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verified fuzzy
raw_fallback, observed 2026-08-07T05:47:27.568334Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:13.619184Z digest=sha256:011acf05cd63edc9d9c9fe4bf9e0ab2cba9e8be14025f67906a63533f639446f

Observation f5cce23a-ddb0-4d32-8aae-8b959a52c9a8 · outbound

This paper cites Craig, P.

Three-layer water flows: Dirichlet-Neumann operators and approximations Craig, P

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:27.294077Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:13.672961Z digest=sha256:6e389239803948dc22a39a0f49ca6f45b1f87696e4544c495e66356d942ec4d1

Observation 7120abeb-762a-4457-b1d7-75a78ba47a30 · outbound

This paper cites Craig, P.

Three-layer water flows: Dirichlet-Neumann operators and approximations Craig, P

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:27.053611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:13.728677Z digest=sha256:f6ec75dea1c9f3d3eb40546baa2e2644fd3ee69837d836be0a7193421e2b4691

Observation 37ecadbb-761f-4e13-888b-719273627227 · outbound

This paper cites Craig, P.

Three-layer water flows: Dirichlet-Neumann operators and approximations Craig, P

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:26.834218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:13.789360Z digest=sha256:741a1c76015014a64333f316f8158c8191cc16f690ec23be48474b991f8f7d57

Observation b2f20c69-d9a5-4ba6-be31-1ca98add96e2 · outbound

This paper cites Craig, P.

Three-layer water flows: Dirichlet-Neumann operators and approximations Craig, P

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:26.528231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:13.822734Z digest=sha256:1fe6dd9b3b59049a97d26a4a9a14a9f74da765501eb790855ce20fe57906dfe0

Observation eb96d905-f4f2-47b7-b019-97ffa686d2b0 · outbound

This paper cites Craig, P.

Three-layer water flows: Dirichlet-Neumann operators and approximations Craig, P

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:26.357209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:13.870711Z digest=sha256:364c0ed0670c52092991eec372234fdb62294bc6419cd5aff7e61fe4139fea9d

Observation e1975391-f6f0-4008-a545-8072f9535afa · outbound

This paper cites Craig, C.

Three-layer water flows: Dirichlet-Neumann operators and approximations Craig, C

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-07T05:47:13.913613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:47:13.913613Z digest=sha256:dcf4276e801fdf7aa2178033a78d62c8079902b3e9d2b1c2e8713aaad53c288c

Observation aa88004d-b77b-4dec-8e8f-9bebdbb371ad · outbound

This paper cites Cushman-Roisin and J.-M.

Three-layer water flows: Dirichlet-Neumann operators and approximations Cushman-Roisin and J.-M

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:26.292793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:13.961371Z digest=sha256:205e54e7fcbadaf8775f8dd8b22e1e5f09f95868025fc68c7430f58c2a8074f0

Observation 438d992b-03bc-46dd-abf4-9f8921ae55ff · outbound

This paper cites Evans,Partial Differential Equations, Graduate Studies in Mathematics, AMS, Rhode Island, 2010.

Three-layer water flows: Dirichlet-Neumann operators and approximations Evans,Partial Differential Equations, Graduate Studies in Mathematics, AMS, Rhode Island, 2010

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:26.209496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:14.021432Z digest=sha256:66c25313071b2194fe053a492a4042b3ca609204b44d59a4b764d3caae69dbda

Observation cbe0e062-0c0d-4930-b6a2-ab55637c1b7c · outbound

This paper cites Escher, P.

Three-layer water flows: Dirichlet-Neumann operators and approximations Escher, P

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:26.148689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:14.082540Z digest=sha256:6d06bc401418ebf213114d0767923a393e4cc813859f3901e1db77261782e541

Observation b03710a0-a4af-4832-a93d-62cc7bcdedda · outbound

This paper cites Fedorov and J.N.

Three-layer water flows: Dirichlet-Neumann operators and approximations Fedorov and J.N

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:26.047308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:14.126653Z digest=sha256:3ec783fd2f16835eecc465c35f85408f13dd6996773d92d5d2b9d117ad68318c

Observation 6dd5a840-f946-466b-98a4-1a8009a24881 · outbound

This paper cites Gill.Atmosphere–Ocean Dynamics.

Three-layer water flows: Dirichlet-Neumann operators and approximations Gill.Atmosphere–Ocean Dynamics

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:25.783424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:14.173975Z digest=sha256:8b5f230baa75a926df432b7fe27f6627ae53bf6ad7ec62f75ed6ee20211b555b

Observation 48521cd1-6f01-417b-87fb-bde369ba534c · outbound

This paper cites an unresolved cited work.

Three-layer water flows: Dirichlet-Neumann operators and approximations Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:47:25.418177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:14.242050Z digest=sha256:808c14665aa1e2aba731b6691fabd70a9142b852db86f00c5d815e6272154c9e

Observation f96c052b-34c0-4f04-bb5c-0564b61cfbcd · outbound

This paper cites Grimshaw, C.

Three-layer water flows: Dirichlet-Neumann operators and approximations Grimshaw, C

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:25.087954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:14.282142Z digest=sha256:24e4d0d4ded48c42af7d0e8e2e5be7fdc87f7ba4aa95b309285d01e9b60ddcfe

Observation 44aab4dc-8a0e-4ca1-9d11-e03fa0b22293 · outbound

This paper cites Guyenne, A high-order spectral method for nonlinear water waves in the presence of a linear shear current, Computers & Fluids 154 (2017) 224–235.

Three-layer water flows: Dirichlet-Neumann operators and approximations Guyenne, A high-order spectral method for nonlinear water waves in the presence of a linear shear current, Computers & Fluids 154 (2017) 224–235

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:24.714623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:14.313074Z digest=sha256:6ec518485172ed539de6346e2860b3187425df22e8abba93bad6bda0f23ad860

Observation 6a23aa2f-3d34-4094-b382-be9d1e69837d · outbound

This paper cites Guyenne, E.

Three-layer water flows: Dirichlet-Neumann operators and approximations Guyenne, E

Reference 39

Resolution
verified exact
doi, observed 2026-08-07T05:47:17.398453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:14.381429Z digest=sha256:0be34d084a4c5a8fb50581f31a11fdb1a0a5284b9371dfeaac5fa1893d7751a7

Observation 721ed36a-c0c9-4bff-8aea-a6a1ce8ff964 · outbound

This paper cites Henry and G.

Three-layer water flows: Dirichlet-Neumann operators and approximations Henry and G

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:24.311332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:14.426879Z digest=sha256:31820317601cb8e952e9740aa02658154f88f1774428469b772a5a1877365441

Observation ef46c5b9-4c79-412c-8e75-f5069b936c06 · outbound

This paper cites an unresolved cited work.

Three-layer water flows: Dirichlet-Neumann operators and approximations Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:47:24.020131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:14.479474Z digest=sha256:d89c0d9aeb967d0c46fbc845e1a2e86dd05f1f4427c18374f4afd0ddd7259e73

Observation 6fd4fe0e-4fbd-4e02-b085-dcaa312facdc · outbound

This paper cites Hamiltonian approach to modelling interfacial internal waves over variable bottom.

Three-layer water flows: Dirichlet-Neumann operators and approximations Hamiltonian approach to modelling interfacial internal waves over variable bottom

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T05:47:14.544970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:47:14.544970Z digest=sha256:e0bf133466541192f63166ef46dc95456f5f441274cc3875290c3e3402b15c7b

Observation c30ff484-06f1-4dc8-a472-c1df703704d8 · outbound

This paper cites Ivanov and C.I.

Three-layer water flows: Dirichlet-Neumann operators and approximations Ivanov and C.I

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:23.700592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:14.591422Z digest=sha256:607eaff7196eb1ebc5b82ecac12d723da69afceb42619b3fe89cabdbc05ebd94

Observation 32b519aa-2479-4378-aa2d-83fc9e9d2cce · outbound

This paper cites Kakutani and N.

Three-layer water flows: Dirichlet-Neumann operators and approximations Kakutani and N

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:23.365107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:14.654197Z digest=sha256:4b7feb8771a4c4a088fa97be3ad89f891b2c8ce80a5888c1c2b6252ff1573fd9

Observation 8b99fe1d-acf4-488f-b629-40e0d439ff26 · outbound

This paper cites Kessler and M.J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Kessler and M.J

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:23.039016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:14.743544Z digest=sha256:f34c541a0e467b6ec61e2b19d436c674ae98771aa42ecf440c846415f2620f64

Observation a67be6a7-eae7-4973-9e77-6e9d57e193b5 · outbound

This paper cites Kodaira, T.

Three-layer water flows: Dirichlet-Neumann operators and approximations Kodaira, T

Reference 46

Resolution
verified exact
doi, observed 2026-08-07T05:47:17.252035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:14.790987Z digest=sha256:78a6341a8e3cf1cccdc8aa23f13cd73f8359768d55bd432c578fe07b24f50bd1

Observation 5cf667c5-5cc1-4fee-86aa-b3acf083a5e5 · outbound

This paper cites Lamb,Hydrodynamics, 6 ed., Cambridge University Press, Cambridge, 1932.

Three-layer water flows: Dirichlet-Neumann operators and approximations Lamb,Hydrodynamics, 6 ed., Cambridge University Press, Cambridge, 1932

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:22.739687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:14.886007Z digest=sha256:5bbcd7688d804aa78cf13f7e13b4a4b66d8bb906e76e087e74cea1402f6a05ba

Observation dfcf95f3-e5a3-49e1-9ba5-e25ff586a137 · outbound

This paper cites Lannes, Well-posedness of the water-waves equations, J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Lannes, Well-posedness of the water-waves equations, J

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:22.527561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:14.985480Z digest=sha256:445917f5284c41b9d9cee4c35eae504df8e3db8c6e9039befd82b8430d274f21

Observation 6c07689f-1c82-4ac8-a3df-73321f8e71e0 · outbound

This paper cites Marshall and R.

Three-layer water flows: Dirichlet-Neumann operators and approximations Marshall and R

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:22.361210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:15.080147Z digest=sha256:29c14f95b8dd4cf2c1b87b1068c44a2d8df8081638a59f3c45235cfd6823b868

Observation 29b5e82b-9e3d-4df1-b0d6-b88124270a56 · outbound

This paper cites an unresolved cited work.

Three-layer water flows: Dirichlet-Neumann operators and approximations Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:47:22.239864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:15.130219Z digest=sha256:a371838bd68537c899aa5e0f97afdfb910b2f437e2e690243eaa7e6bf70d7a98

Observation b3fe2534-9f76-4036-9d95-4a36c79c82bc · outbound

This paper cites Massel,Internal gravity waves in the shallow seas, Springer International Publishing, Switzerland, 2015.

Three-layer water flows: Dirichlet-Neumann operators and approximations Massel,Internal gravity waves in the shallow seas, Springer International Publishing, Switzerland, 2015

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:22.120012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:15.258790Z digest=sha256:b36f2675e47cdd2f93b3c681d7f1fb66d42a29ef928201c3883cd97b1fef1743

Observation 3201a11a-1a7c-420a-bece-f4634b904ac2 · outbound

This paper cites Matioc, Steady internal water waves with a critical layer bounded by the wave surface, J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Matioc, Steady internal water waves with a critical layer bounded by the wave surface, J

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:21.974423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:15.346665Z digest=sha256:05a6cd4b80015d9a914c33a617c706b3cb25e3f5f3e81a21123cd83a952207f5

Observation ace61a53-c4fb-48be-b512-b7b8904886b7 · outbound

This paper cites de Melo Vir ´ ıssimo, P.A.

Three-layer water flows: Dirichlet-Neumann operators and approximations de Melo Vir ´ ıssimo, P.A

Reference 53

Resolution
verified exact
doi, observed 2026-08-07T05:47:17.135479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:15.451331Z digest=sha256:7af22452fd68896e5ac6316f56fd46f7c99da65d2c86174eb48fe6630a51bc33

Observation 09eda2e7-7243-463a-a541-00a5ddb7c88b · outbound

This paper cites Nachbin, A three-dimensional Dirichlet-to-Neumann operator for water waves over topog- raphy, J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Nachbin, A three-dimensional Dirichlet-to-Neumann operator for water waves over topog- raphy, J

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:21.794131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:15.537950Z digest=sha256:e3204f092a356b724c5c8c72a323e0a9b9d4ba3249aa0d7088167684ab02392c

Observation 39314608-3953-4ed5-8e91-80133ba65f96 · outbound

This paper cites an unresolved cited work.

Three-layer water flows: Dirichlet-Neumann operators and approximations Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:47:21.676482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:15.606747Z digest=sha256:ea00ec58fbb5d6ef0ae08e600f12635288c0b7b29e0519a2c8228fa49208f0fd

Observation f240483a-99ef-4cba-84a2-9ab49ac05acf · outbound

This paper cites Ostrovsky and K.R.

Three-layer water flows: Dirichlet-Neumann operators and approximations Ostrovsky and K.R

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:21.481951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:15.747414Z digest=sha256:9eb9241a17e8195e6fdc0d3d86d3b89cc973183bf5cab1de2ecf1e1512f94589

Observation b23506a1-9c0b-41e9-91d7-2f1b2bb40ccc · outbound

This paper cites shallow water.

Three-layer water flows: Dirichlet-Neumann operators and approximations shallow water

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:21.350541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:15.851294Z digest=sha256:54047e974554b93cba514b372af69797fbb3dfaea05609ea088c932a3962b50a

Observation eafaf748-1d54-4400-ab63-bd496613de08 · outbound

This paper cites Isolation Intervals of the Real Roots of the Parametric Cubic Equation and Improved Complete Root Classification.

Three-layer water flows: Dirichlet-Neumann operators and approximations Isolation Intervals of the Real Roots of the Parametric Cubic Equation and Improved Complete Root Classification

Reference 58

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:47:18.088504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:15.915823Z digest=sha256:4f62ab731f687a9c010853489f053cb4d2444a7c2aaad82cfcf34a3f2f387d0c

Observation 668a538e-7ba3-404b-8203-a172c7c433bd · outbound

This paper cites The Siebeck-Marden-Northshield Theorem and the Real Roots of the Symbolic Cubic Equation.

Three-layer water flows: Dirichlet-Neumann operators and approximations The Siebeck-Marden-Northshield Theorem and the Real Roots of the Symbolic Cubic Equation

Reference 59

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:47:17.906756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:16.006147Z digest=sha256:b93632bd5567c4c702a29a52a4a0bf24d9d799b4ea83e7b56bab701afd9f5338

Observation 11049fd3-e0c3-45b8-9d8e-3001b44ae146 · outbound

This paper cites Rahman and G.

Three-layer water flows: Dirichlet-Neumann operators and approximations Rahman and G

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:21.201443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:16.113725Z digest=sha256:38c0d9272b95d01d48a852c30ea4d8ab99913c1c73a4800a3cd4d7a81123efa7

Observation 20d02b72-5f32-483e-a621-bb4efc258674 · outbound

This paper cites Ratliff, Genuine nonlinearity and its connection to the modified Korteweg–de Vries equa- tion in phase dynamics, Nonlinearity 35 (2022) 30-65.

Three-layer water flows: Dirichlet-Neumann operators and approximations Ratliff, Genuine nonlinearity and its connection to the modified Korteweg–de Vries equa- tion in phase dynamics, Nonlinearity 35 (2022) 30-65

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:21.049038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:16.198116Z digest=sha256:f9c4aa657ee8806634c2156daa47ddcc37ce84d35e8c4bd1af92dd88be4b7005

Observation d5c954f0-d148-41a8-b9b3-f4afd28abf0d · outbound

This paper cites Reed and B.

Three-layer water flows: Dirichlet-Neumann operators and approximations Reed and B

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:20.755110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:16.266765Z digest=sha256:075458bcdfacd9f7826382b631ed63c4c67bc0bcf0d34b440eeade940befdca9

Observation 29fe098e-eb0a-4f51-9e97-5a066b049118 · outbound

This paper cites Shintani and M.

Three-layer water flows: Dirichlet-Neumann operators and approximations Shintani and M

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:20.468651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:16.386142Z digest=sha256:76157075df6caac288b2715f906c7961195d630064647a4b67d6c29b35432b0b

Observation 495c8701-e707-466b-997b-3e9308e2a3f1 · outbound

This paper cites Simmons, M.-H.

Three-layer water flows: Dirichlet-Neumann operators and approximations Simmons, M.-H

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:20.082564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:16.510032Z digest=sha256:fc40dd76d6b4b02d48655373226c61642de82cef3ebbaa0c2295880795d5c06b

Observation 5e3e7421-6c6e-4afe-9557-8352f802b467 · outbound

This paper cites an unresolved cited work.

Three-layer water flows: Dirichlet-Neumann operators and approximations Unresolved cited work

Reference 65

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:47:19.895555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:16.564265Z digest=sha256:a1a218556b2ae6d081060d886258c193bbd43cb8d45270693076378700899532

Observation 10e00bf3-2a7e-4035-8c7b-9aafaf43d346 · outbound

This paper cites Vallis,Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-Scale Circula- tion, Cambridge University Press, 2017.

Three-layer water flows: Dirichlet-Neumann operators and approximations Vallis,Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-Scale Circula- tion, Cambridge University Press, 2017

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:19.742643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:16.633582Z digest=sha256:31caa6786a30a3ec7fc3f845e620b9b8f78bf3963f66bb248f7b6f4386bc6f95

Observation 12368097-a383-4a19-8a63-26a820c532a3 · outbound

This paper cites Whitham,Linear and nonlinear waves, 1999, Wiley.

Three-layer water flows: Dirichlet-Neumann operators and approximations Whitham,Linear and nonlinear waves, 1999, Wiley

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:19.620715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:16.673140Z digest=sha256:f3fd601895b5d0cd0714aefd968fdd81d8cc5b9acf1868ed27e9580c4111de04

Observation 9176cfd5-d967-44ff-87bf-ee2c4a4bebc3 · outbound

This paper cites Wahl´ en, A Hamiltonian formulation of water waves with constant vorticity, Lett.

Three-layer water flows: Dirichlet-Neumann operators and approximations Wahl´ en, A Hamiltonian formulation of water waves with constant vorticity, Lett

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:19.465140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:16.707975Z digest=sha256:056540282745c1b7a7269c2a4e62b321393162fa779bc09cdccc406793f8b457

Observation 5f50a117-a711-410f-911a-e3e90b80d6a3 · outbound

This paper cites Wahl´ en, Hamiltonian long-wave approximations of water waves with constant vorticity, Phys.

Three-layer water flows: Dirichlet-Neumann operators and approximations Wahl´ en, Hamiltonian long-wave approximations of water waves with constant vorticity, Phys

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:19.324950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:16.794662Z digest=sha256:c0dc48beb01589bed97f9ba77f95970d5cf0bda936525005c7dc1590f681e3a9

Observation 1952d3a9-e554-401a-aaff-0a108ba64ec7 · outbound

This paper cites Yih,Stratified flows, Academic Press, 1980.

Three-layer water flows: Dirichlet-Neumann operators and approximations Yih,Stratified flows, Academic Press, 1980

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:19.145629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:16.881380Z digest=sha256:dfc0b6bbd832609cb7724c91572c431d140c2f330349075ff14d70a3fba0d070

Observation e3767aab-0fa6-4d05-9e16-ab15ccc40115 · outbound

This paper cites Zakharov, Stability of periodic waves of finite amplitude on the surface of a deep fluid, J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Zakharov, Stability of periodic waves of finite amplitude on the surface of a deep fluid, J

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:19.012557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:47:16.929573Z digest=sha256:e2a9f7de488be088bad16643b61b2b4543cd566dfdb30ca529be6c054468df7d

Pith citing papers

No inbound Pith citation observations are available.