Paper Citation Record · LEDGER

Desingularization of vortex sheets for the 2D Euler equations

As of 11 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 2 inbound Pith citation observations for arXiv:2505.18655.

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

pith.paper-citation-record.v1
2505.18655 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:37:01.968167Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T13:12:18.610441Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T12:02:16.724171Z

Reference resolution

41 of 41 outbound references displayed

verified exact1
verified fuzzy23
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 91f8dcf9-932b-4869-94a3-a17e129beff5 · outbound

This paper cites Bahouri, J.-Y.

Desingularization of vortex sheets for the 2D Euler equations Bahouri, J.-Y

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:06.969499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7d625fdc-770e-41c1-a568-f0559a736413 · outbound

This paper cites Benedetto, M.

Desingularization of vortex sheets for the 2D Euler equations Benedetto, M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:06.856349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9daad9ff-eb76-40e3-879b-6ce5cae0dee2 · outbound

This paper cites an unresolved cited work.

Desingularization of vortex sheets for the 2D Euler equations Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:37:06.676003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 197878f4-150b-4574-9bbf-29b73984d295 · outbound

This paper cites an unresolved cited work.

Desingularization of vortex sheets for the 2D Euler equations Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:37:06.556956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 09afcfbb-d1d5-464f-8784-5dc10292a6be · outbound

This paper cites an unresolved cited work.

Desingularization of vortex sheets for the 2D Euler equations Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:37:06.396845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 056eb921-d0ca-41ba-b2c6-8dd6dc8386a0 · outbound

This paper cites Desingularization and global continuation for hollow vortices.

Desingularization of vortex sheets for the 2D Euler equations Desingularization and global continuation for hollow vortices

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:37:02.499020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a15d4975-f514-4148-88e5-848072801010 · outbound

This paper cites Stability of vortex quadrupoles with odd-odd symmetry.

Desingularization of vortex sheets for the 2D Euler equations Stability of vortex quadrupoles with odd-odd symmetry

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T14:36:57.492621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42304aad-5018-4860-b70f-359083fbf935 · outbound

This paper cites Cie´ slak, P.

Desingularization of vortex sheets for the 2D Euler equations Cie´ slak, P

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:06.240188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bad3735f-4011-4d48-8e8c-8c6f80eb1cd8 · outbound

This paper cites an unresolved cited work.

Desingularization of vortex sheets for the 2D Euler equations Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:37:06.075805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9e7a78c1-1b17-488c-a24d-ade4b576ccf4 · outbound

This paper cites D´ avila, M.

Desingularization of vortex sheets for the 2D Euler equations D´ avila, M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:05.911177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 954f7e7b-cc9f-4168-96ca-18804705197c · outbound

This paper cites D´ avila, M.

Desingularization of vortex sheets for the 2D Euler equations D´ avila, M

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T14:36:57.809701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1c981a6-f9af-4569-8b73-d50092fac2d4 · outbound

This paper cites An Expanding Self-Similar Vortex Configuration for the 2D Euler Equations.

Desingularization of vortex sheets for the 2D Euler equations An Expanding Self-Similar Vortex Configuration for the 2D Euler Equations

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T14:36:57.904476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4dc6897d-e6d1-48ce-bbfa-5d9599bf45bc · outbound

This paper cites Delort, Existence de nappes de tourbillon en dimension deux, J.

Desingularization of vortex sheets for the 2D Euler equations Delort, Existence de nappes de tourbillon en dimension deux, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:05.769323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1450a113-fb4c-450f-a4bd-8e47238234e3 · outbound

This paper cites Dolce, T.

Desingularization of vortex sheets for the 2D Euler equations Dolce, T

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T14:36:58.700881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5b1bca6-14e7-4656-b8ff-158e48bd1bd3 · outbound

This paper cites Enciso, J.

Desingularization of vortex sheets for the 2D Euler equations Enciso, J

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T14:36:59.822170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a98df22b-1a7f-4913-845e-d7e71edc5196 · outbound

This paper cites Fefferman, J.

Desingularization of vortex sheets for the 2D Euler equations Fefferman, J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:05.653154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5349f765-0504-4c40-86c7-60f8b331d0f7 · outbound

This paper cites Fefferman, J.

Desingularization of vortex sheets for the 2D Euler equations Fefferman, J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:05.490327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8d9034f3-0449-4f08-b4bb-e65c7afe2065 · outbound

This paper cites Fefferman, J.

Desingularization of vortex sheets for the 2D Euler equations Fefferman, J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:05.337022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5356f967-b23f-4a04-bc38-d7bae78fd9e6 · outbound

This paper cites Folland,Introduction to partial differential equations, Princeton university press, Princeton NJ, 1995.

Desingularization of vortex sheets for the 2D Euler equations Folland,Introduction to partial differential equations, Princeton university press, Princeton NJ, 1995

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:05.192843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a9ac15ff-1ae2-473f-8603-d36d766c2d18 · outbound

This paper cites Gallay, Interaction of vortices in weakly viscous planar flows, Arch.

Desingularization of vortex sheets for the 2D Euler equations Gallay, Interaction of vortices in weakly viscous planar flows, Arch

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:05.060229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5710c167-2301-4b5d-a4e6-9fb5478cbb98 · outbound

This paper cites G´ omez-Serrano, J.

Desingularization of vortex sheets for the 2D Euler equations G´ omez-Serrano, J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:04.889024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cca0bc94-92e3-4034-b90d-a4bcb78b4a23 · outbound

This paper cites Grafakos,Classical Fourier Analysis, Springer, New York, 2014.

Desingularization of vortex sheets for the 2D Euler equations Grafakos,Classical Fourier Analysis, Springer, New York, 2014

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:04.786423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e1463fc0-77c1-47b7-bacf-b5cfd03b24ab · outbound

This paper cites Grafakos,Modern Fourier Analysis, Springer, New York, 2014.

Desingularization of vortex sheets for the 2D Euler equations Grafakos,Modern Fourier Analysis, Springer, New York, 2014

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:04.646890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 22c5cbc5-c9dc-4020-9858-0a5b498d74fe · outbound

This paper cites Rigorous derivation of the leapfrogging motion for planar Euler equations.

Desingularization of vortex sheets for the 2D Euler equations Rigorous derivation of the leapfrogging motion for planar Euler equations

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T14:37:00.737065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2a56972-5c72-45d3-a046-4dccce68f911 · outbound

This paper cites Jeong, A.

Desingularization of vortex sheets for the 2D Euler equations Jeong, A

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:04.532831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6d0cb65c-18fa-462c-afe9-4ad6bc6d9865 · outbound

This paper cites an unresolved cited work.

Desingularization of vortex sheets for the 2D Euler equations Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:37:04.385869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4a32a2d5-ed74-44f4-a8f4-f9f498dd7a72 · outbound

This paper cites Lebeau, R´ egularit´ e du probl` eme de Kelvin–Helmholtz pour l’´ equation d’Euler 2d, ESAIM: Control Optim.

Desingularization of vortex sheets for the 2D Euler equations Lebeau, R´ egularit´ e du probl` eme de Kelvin–Helmholtz pour l’´ equation d’Euler 2d, ESAIM: Control Optim

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:04.252243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ba34998d-9919-4156-bd72-03c6bab6eafd · outbound

This paper cites an unresolved cited work.

Desingularization of vortex sheets for the 2D Euler equations Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:37:04.134206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1ba8ad07-f538-4fe9-b6c3-afacfda1c349 · outbound

This paper cites Marchioro, On the inviscid limit for a fluid with a concentrated vorticity, Comm.

Desingularization of vortex sheets for the 2D Euler equations Marchioro, On the inviscid limit for a fluid with a concentrated vorticity, Comm

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:04.026389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c8cdc58e-a8db-4a10-af8a-dfc11ce54284 · outbound

This paper cites Marchioro, M.

Desingularization of vortex sheets for the 2D Euler equations Marchioro, M

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:03.846159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 63381f39-a08d-4fae-ada8-f63288b25539 · outbound

This paper cites Marchioro, M.

Desingularization of vortex sheets for the 2D Euler equations Marchioro, M

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:03.692236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cfa76890-0bff-41a2-a604-d826ce96ca63 · outbound

This paper cites Mengual, L.

Desingularization of vortex sheets for the 2D Euler equations Mengual, L

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:03.576099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 25f1e710-92de-4888-b4b4-63c5d7b11f96 · outbound

This paper cites Meyer, C.

Desingularization of vortex sheets for the 2D Euler equations Meyer, C

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T14:37:01.452000Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation abeb832f-2d34-4fd7-9ccf-bd36098eb31e · outbound

This paper cites an unresolved cited work.

Desingularization of vortex sheets for the 2D Euler equations Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:37:03.421230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2d48b8aa-5acf-4403-a947-9f9d0231459c · outbound

This paper cites Nishida, A note on a theorem of Nirenberg, J.

Desingularization of vortex sheets for the 2D Euler equations Nishida, A note on a theorem of Nirenberg, J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:03.301813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 43c765b3-d384-4fad-bc56-649dc37c6d6f · outbound

This paper cites an unresolved cited work.

Desingularization of vortex sheets for the 2D Euler equations Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:37:03.161710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation da320b35-4674-4756-b3c3-0cb382b04f61 · outbound

This paper cites Self-similar algebraic spiral vortex sheets of 2-D incompressible Euler equations.

Desingularization of vortex sheets for the 2D Euler equations Self-similar algebraic spiral vortex sheets of 2-D incompressible Euler equations

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-07T14:37:01.699175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80cdd25b-f805-4c0d-a160-b15319c15632 · outbound

This paper cites Sulem, P.-L.

Desingularization of vortex sheets for the 2D Euler equations Sulem, P.-L

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:03.033719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e3abbfbd-309f-43e2-9df1-516105ebaac5 · outbound

This paper cites Sz´ ekelyhidi Jr, Weak solutions to the incompressible Euler equations with vortex sheet initial data, C.

Desingularization of vortex sheets for the 2D Euler equations Sz´ ekelyhidi Jr, Weak solutions to the incompressible Euler equations with vortex sheet initial data, C

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:02.912991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d5f5607c-3739-456b-8584-b1d2bc8b0952 · outbound

This paper cites Wu, Mathematical analysis of vortex sheets, Comm.

Desingularization of vortex sheets for the 2D Euler equations Wu, Mathematical analysis of vortex sheets, Comm

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:37:02.797983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2076c778-3e7e-4492-9e90-7e73a48a9596 · outbound

This paper cites an unresolved cited work.

Desingularization of vortex sheets for the 2D Euler equations Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:37:02.663333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation c2ab81eb-1497-4f1d-8d4b-e2c74a13157e · inbound

Long time confinement of multiple concentrated vortices cites this paper.

Long time confinement of multiple concentrated vortices Desingularization of vortex sheets for the 2D Euler equations

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-19T12:02:16.725787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 36024e54-8e81-4da6-8f0d-83c65373cc8a · inbound

Vortex-sheet desingularization for three-dimensional ideal fluids cites this paper.

Vortex-sheet desingularization for three-dimensional ideal fluids Desingularization of vortex sheets for the 2D Euler equations

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T13:12:18.610441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.