Paper Citation Record · LEDGER

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow

As of 21 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2412.11904.

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

pith.paper-citation-record.v1
2412.11904 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:35:04.737857Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

28 of 28 outbound references displayed

verified exact2
verified fuzzy13
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7eb0e74d-468a-431b-8513-192dfb21ce9f · outbound

This paper cites Abels, H.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Abels, H

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T14:35:04.611279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 693a5086-4c4f-46d1-abe0-56f5d6ca7848 · outbound

This paper cites an unresolved cited work.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:35:05.216162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation af04ba9c-4c09-4d35-92b1-7e9fcc814b66 · outbound

This paper cites Boyer and C.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Boyer and C

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:35:05.200059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f831d782-5148-496a-96f9-e98f568a85ff · outbound

This paper cites an unresolved cited work.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:35:05.183571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d67798b9-f23d-4bc3-895e-3d0009d31efe · outbound

This paper cites an unresolved cited work.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:35:05.166378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6dbc5ae9-9969-465d-9eae-bc2d418e35ea · outbound

This paper cites an unresolved cited work.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:35:05.149307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 74eb1172-baab-4d5f-9fa1-9bdc8bf98f44 · outbound

This paper cites Dhaouadi and M.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Dhaouadi and M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:35:05.132540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1d06c0c0-c7a6-42f8-a41f-a8bdbc4108ec · outbound

This paper cites A first-order hyperbolic reformulation of the Cahn-Hilliard equation.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow A first-order hyperbolic reformulation of the Cahn-Hilliard equation

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:35:04.805472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b690280f-0157-44c9-a57d-19c2a380b31f · outbound

This paper cites Engel, A.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Engel, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:35:05.116389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a94cefca-6a4b-43f0-9e17-294c5537ea2c · outbound

This paper cites an unresolved cited work.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:35:05.100147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 02b8c93d-f1d9-42da-8c22-e876975b4eae · outbound

This paper cites Gatti, M.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Gatti, M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:35:05.084493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 136c4896-a1d1-4f2b-b963-85b6e212f05a · outbound

This paper cites Giesselmann.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Giesselmann

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:35:05.068658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 589cc5c0-d764-405d-98aa-cb847c43972f · outbound

This paper cites Giorgini and R.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Giorgini and R

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:35:05.052514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 204b0668-788d-462a-9586-51e9837e18c8 · outbound

This paper cites an unresolved cited work.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:35:05.036085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e9cea5ea-6618-414e-9f2d-66147986558d · outbound

This paper cites an unresolved cited work.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:35:05.019519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 60effc98-f655-422e-bc1a-b71df27eac3f · outbound

This paper cites an unresolved cited work.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:35:05.002972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1bd2a6fe-d33f-4412-854f-763e12d37e5e · outbound

This paper cites an unresolved cited work.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:35:04.986564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b42a34b5-28d7-431d-970f-40f164656fac · outbound

This paper cites A hyperbolic relaxation system of the incompressible Navier-Stokes equations with artificial compressibility.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow A hyperbolic relaxation system of the incompressible Navier-Stokes equations with artificial compressibility

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:35:04.780668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 415bafda-0b7a-4333-998e-667579259dc9 · outbound

This paper cites Keim, H.-C.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Keim, H.-C

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:35:04.967978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 837eccb7-a833-48ee-a7fb-fc718a3dc454 · outbound

This paper cites Keim, C.-D.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Keim, C.-D

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:35:04.951619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a311902f-8517-4c70-aa0d-f297a4bbca0a · outbound

This paper cites Lattanzio and A.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Lattanzio and A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:35:04.935095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6c57df8e-fc4b-4ea6-854c-90d89c343c26 · outbound

This paper cites Massa, L.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Massa, L

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:35:04.917731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9972158e-a1ed-49f6-81bc-f3abd5f8fbd0 · outbound

This paper cites Nithiarasu.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Nithiarasu

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:35:04.900706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4c4acef9-a3e6-4e4f-a262-5a3f572bd3ee · outbound

This paper cites an unresolved cited work.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:35:04.884651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bd38dc85-45c7-4a9b-88cc-91d78489ac16 · outbound

This paper cites Rohde and L.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Rohde and L

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:35:04.869125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d15204a9-6486-44af-87a2-165bc5fbfb01 · outbound

This paper cites Rohde and L.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Rohde and L

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:35:04.853130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fa8cea3e-27ea-4952-8bf6-7d9f1255ce29 · outbound

This paper cites an unresolved cited work.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:35:04.837723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a680ab8f-a2d2-499f-8c33-df723f612abf · outbound

This paper cites an unresolved cited work.

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:35:04.821540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.