Paper Citation Record · LEDGER

Two-dimensional water waves with constant vorticity and general bottom topography

As of 17 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 2 inbound Pith citation observations for arXiv:2505.05430.

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

pith.paper-citation-record.v1
2505.05430 v4

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:11:14.908033Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T16:56:45.717395Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-02T10:16:51.661442Z

Reference resolution

45 of 45 outbound references displayed

verified exact2
verified fuzzy10
unresolved33
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 11cda1a9-9ca1-43b1-94ba-b060b33be2de · outbound

This paper cites Gravity capillary standing water waves.

Two-dimensional water waves with constant vorticity and general bottom topography Gravity capillary standing water waves

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.674219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d570fcc-2c3c-49d1-a0d6-613142bbbff8 · outbound

This paper cites Control of water waves.

Two-dimensional water waves with constant vorticity and general bottom topography Control of water waves

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:15.517231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 13b4809c-f9c2-466f-934e-71c1f6671b4c · outbound

This paper cites On the water-wave equations with surface tension.

Two-dimensional water waves with constant vorticity and general bottom topography On the water-wave equations with surface tension

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.685736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2444cab-55d6-4cdc-bb3b-727afac39dbe · outbound

This paper cites On the Cauchy problem for gravity water waves.

Two-dimensional water waves with constant vorticity and general bottom topography On the Cauchy problem for gravity water waves

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.691329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 048a01d5-5dd0-4624-b475-19890aba074b · outbound

This paper cites Cauchy theory for the gravity water waves system with non-localized initial data.

Two-dimensional water waves with constant vorticity and general bottom topography Cauchy theory for the gravity water waves system with non-localized initial data

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.697284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ad7b555-714b-48a4-8c89-10b17b6a094c · outbound

This paper cites Sobolev estimates for two dimensional gravity water waves.

Two-dimensional water waves with constant vorticity and general bottom topography Sobolev estimates for two dimensional gravity water waves

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.702760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc57d66e-5f41-4770-ad93-adf9f5ed4824 · outbound

This paper cites Two-dimensional gravity waves at low regularity II: Global solutions.

Two-dimensional water waves with constant vorticity and general bottom topography Two-dimensional gravity waves at low regularity II: Global solutions

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.709303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf075457-c617-4c1e-bce5-ea09f98c7231 · outbound

This paper cites Paralinearization of the Dirichlet to Neumann operator, and regularity of three-dimensional water waves.

Two-dimensional water waves with constant vorticity and general bottom topography Paralinearization of the Dirichlet to Neumann operator, and regularity of three-dimensional water waves

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.714468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 379995ec-3a65-4aa0-b4df-817e873f7afb · outbound

This paper cites Time quasi-periodic gravity water waves in finite depth.

Two-dimensional water waves with constant vorticity and general bottom topography Time quasi-periodic gravity water waves in finite depth

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.720504Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c253a444-a348-4193-8f2e-ea8c608bf5b1 · outbound

This paper cites Bifurcation of gravity-capillary Stokes waves with constant vorticity.

Two-dimensional water waves with constant vorticity and general bottom topography Bifurcation of gravity-capillary Stokes waves with constant vorticity

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:11:14.999059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c85df4b4-9966-4c58-aa57-224e85cb9835 · outbound

This paper cites Almost Global Solutions of Capillary-Gravity Water Waves Equations on the Circle.

Two-dimensional water waves with constant vorticity and general bottom topography Almost Global Solutions of Capillary-Gravity Water Waves Equations on the Circle

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.731804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2c1bc97-fa54-48d0-a18c-32fed593a99a · outbound

This paper cites Traveling quasi-periodic water waves with constant vorticity.

Two-dimensional water waves with constant vorticity and general bottom topography Traveling quasi-periodic water waves with constant vorticity

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.737098Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d41fa163-f294-42a5-9670-917470f01325 · outbound

This paper cites Pure gravity traveling quasi-periodic water waves with constant vorticity.

Two-dimensional water waves with constant vorticity and general bottom topography Pure gravity traveling quasi-periodic water waves with constant vorticity

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.742074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d2f164e-8b56-4129-83b9-dcf20002684d · outbound

This paper cites Hamiltonian birkhoff normal form for gravity-capillary water waves with constant vorticity: almost global existence.

Two-dimensional water waves with constant vorticity and general bottom topography Hamiltonian birkhoff normal form for gravity-capillary water waves with constant vorticity: almost global existence

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:15.387148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b2dae80b-ce13-40c5-b9c7-b91df0187a40 · outbound

This paper cites On the analyticity of the dirichlet--neumann operator and stokes waves.

Two-dimensional water waves with constant vorticity and general bottom topography On the analyticity of the dirichlet--neumann operator and stokes waves

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:15.370186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6aa0a1ea-9982-4bb7-b9ee-20d7d14d7d5e · outbound

This paper cites Analytic theory of global bifurcation: an introduction , volume 9.

Two-dimensional water waves with constant vorticity and general bottom topography Analytic theory of global bifurcation: an introduction , volume 9

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:15.353434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b51e0bd2-8ec6-4580-bf7e-a0a4cb08e52d · outbound

This paper cites Hamiltonian long--wave expansions for water waves over a rough bottom.

Two-dimensional water waves with constant vorticity and general bottom topography Hamiltonian long--wave expansions for water waves over a rough bottom

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:15.337206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 984589f1-3be4-4fb3-a892-f6aca45feac8 · outbound

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

Two-dimensional water waves with constant vorticity and general bottom topography Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:15.319534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 55ec907f-36b0-445f-914b-12751b85e0e3 · outbound

This paper cites Well-posedness and shallow-water stability for a new Hamiltonian formulation of the water waves equations with vorticity.

Two-dimensional water waves with constant vorticity and general bottom topography Well-posedness and shallow-water stability for a new Hamiltonian formulation of the water waves equations with vorticity

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.773190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1610840-6aa2-4e1e-be53-7f4f66b2859a · outbound

This paper cites Numerical simulation of gravity waves.

Two-dimensional water waves with constant vorticity and general bottom topography Numerical simulation of gravity waves

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.778411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4162cbb4-350b-4fe8-bef2-85b1a303d274 · outbound

This paper cites Exact steady periodic water waves with vorticity.

Two-dimensional water waves with constant vorticity and general bottom topography Exact steady periodic water waves with vorticity

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.783430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b360a92b-0dcb-402f-b61e-314810df1aae · outbound

This paper cites Well-posedness of the free-surface incompressible Euler equations with or without surface tension.

Two-dimensional water waves with constant vorticity and general bottom topography Well-posedness of the free-surface incompressible Euler equations with or without surface tension

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.788451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd57bb4e-baeb-4ca5-ac10-f546e36cf2bc · outbound

This paper cites Smooth stationary water waves with exponentially localized vorticity.

Two-dimensional water waves with constant vorticity and general bottom topography Smooth stationary water waves with exponentially localized vorticity

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.793308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57c27bc3-d38d-453c-92bb-7a9e6ce72a95 · outbound

This paper cites Quasi-periodic traveling waves on an infinitely deep perfect fluid under gravity , volume 295.

Two-dimensional water waves with constant vorticity and general bottom topography Quasi-periodic traveling waves on an infinitely deep perfect fluid under gravity , volume 295

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.798285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5b382c7-a129-4998-84ed-308805bc9214 · outbound

This paper cites Theorie der wellen.

Two-dimensional water waves with constant vorticity and general bottom topography Theorie der wellen

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.803804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 897ea7f6-0015-4f3f-9d15-0a32993eb6c8 · outbound

This paper cites A variational formulation for steady surface water waves on a Beltrami flow.

Two-dimensional water waves with constant vorticity and general bottom topography A variational formulation for steady surface water waves on a Beltrami flow

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.809610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c1a20ff-0559-46a6-8e39-5a936400508e · outbound

This paper cites Analytical Study of a generalised Dirichlet-Neumann operator and application to three-dimensional water waves on Beltrami flows.

Two-dimensional water waves with constant vorticity and general bottom topography Analytical Study of a generalised Dirichlet-Neumann operator and application to three-dimensional water waves on Beltrami flows

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:15.213368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5f9ceac6-af50-460f-8879-66037784565a · outbound

This paper cites A mathematical analysis of tsunami generation in shallow water due to seabed deformation.

Two-dimensional water waves with constant vorticity and general bottom topography A mathematical analysis of tsunami generation in shallow water due to seabed deformation

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:15.195758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0e817944-656f-4704-b944-cfdf30333aed · outbound

This paper cites Global solutions for the gravity water waves system in 2d.

Two-dimensional water waves with constant vorticity and general bottom topography Global solutions for the gravity water waves system in 2d

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.827282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad785994-c0f3-4c80-963e-0e13d4da0301 · outbound

This paper cites Standing waves on an infinitely deep perfect fluid under gravity.

Two-dimensional water waves with constant vorticity and general bottom topography Standing waves on an infinitely deep perfect fluid under gravity

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.832096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e20d281-83dc-48aa-9893-0e0ffd5bc92b · outbound

This paper cites Sharp Hadamard local well-posedness, enhanced uniqueness and pointwise continuation criterion for the incompressible free boundary Euler equations.

Two-dimensional water waves with constant vorticity and general bottom topography Sharp Hadamard local well-posedness, enhanced uniqueness and pointwise continuation criterion for the incompressible free boundary Euler equations

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.837103Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b340ea8-d58e-48fa-b0b0-7f761d03f67b · outbound

This paper cites Two-dimensional gravity water waves with constant vorticity, I: Cubic lifespan.

Two-dimensional water waves with constant vorticity and general bottom topography Two-dimensional gravity water waves with constant vorticity, I: Cubic lifespan

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.842194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be8b2250-cf86-4670-9eb4-a56723615dd1 · outbound

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

Two-dimensional water waves with constant vorticity and general bottom topography Well-posedness of the water-waves equations

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.847019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f86bd031-8a4b-4748-8a1c-dca9fa8ece66 · outbound

This paper cites The water waves problem: mathematical analysis and asymptotics , volume 188.

Two-dimensional water waves with constant vorticity and general bottom topography The water waves problem: mathematical analysis and asymptotics , volume 188

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.851897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef01285a-a51f-4574-acc0-506bce54f684 · outbound

This paper cites D \'e termination rigoureuse des ondes permanentes d'ampleur finie.

Two-dimensional water waves with constant vorticity and general bottom topography D \'e termination rigoureuse des ondes permanentes d'ampleur finie

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.856956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aca6ff13-aee8-4f56-b2c2-117117b4e9b3 · outbound

This paper cites Paradifferential Calculus and Application to the Cauchy Problem for Nonlinear Systems.

Two-dimensional water waves with constant vorticity and general bottom topography Paradifferential Calculus and Application to the Cauchy Problem for Nonlinear Systems

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.862145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc6f4b1c-ab70-494a-baa5-f81138dd994f · outbound

This paper cites Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity.

Two-dimensional water waves with constant vorticity and general bottom topography Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:11:14.954950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2374db69-ad81-47d1-8162-c0e6c9903ce6 · outbound

This paper cites On the theory of oscillatory waves.

Two-dimensional water waves with constant vorticity and general bottom topography On the theory of oscillatory waves

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.872326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39c433a3-e46e-4a77-945e-1d567c72879c · outbound

This paper cites Local well-posedness for fluid interface problems.

Two-dimensional water waves with constant vorticity and general bottom topography Local well-posedness for fluid interface problems

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.877349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00c55a42-1810-44ff-ba79-3e24e9a03d01 · outbound

This paper cites Partial differential equations I: Basic Theory , volume 115.

Two-dimensional water waves with constant vorticity and general bottom topography Partial differential equations I: Basic Theory , volume 115

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:15.077395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d9497eab-53a7-40e6-b0d1-7819be07ef6e · outbound

This paper cites Steady periodic capillary-gravity waves with vorticity.

Two-dimensional water waves with constant vorticity and general bottom topography Steady periodic capillary-gravity waves with vorticity

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.887254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa603acc-f211-49c4-a4f1-66948da2e82a · outbound

This paper cites A Hamiltonian formulation of water waves with constant vorticity.

Two-dimensional water waves with constant vorticity and general bottom topography A Hamiltonian formulation of water waves with constant vorticity

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.891977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f962a819-94dd-4b09-86af-c0bb220dc4d5 · outbound

This paper cites Almost global wellposedness of the 2-D full water wave problem.

Two-dimensional water waves with constant vorticity and general bottom topography Almost global wellposedness of the 2-D full water wave problem

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.896862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22160bb2-f05e-42be-95c7-18ae4bb7d823 · outbound

This paper cites Global bifurcation of capillary-gravity water waves with overhanging profiles and arbitrary vorticity.

Two-dimensional water waves with constant vorticity and general bottom topography Global bifurcation of capillary-gravity water waves with overhanging profiles and arbitrary vorticity

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-15T23:11:14.902785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7afab9e1-003d-4697-99f8-0f2d45332e63 · outbound

This paper cites Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary , volume 270.

Two-dimensional water waves with constant vorticity and general bottom topography Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary , volume 270

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:11:15.016723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

Observation 106a1752-6937-4748-a3f4-c85143ec65a6 · inbound

A rigidity result for the 3D capillary liquid drop with constant vorticity cites this paper.

A rigidity result for the 3D capillary liquid drop with constant vorticity Two-dimensional water waves with constant vorticity and general bottom topography

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-07-02T10:16:51.663090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2ca4a6a8-acc0-48f6-8309-dd345766f17c · inbound

Rigidity for capillary liquid drops of nearly circular section with constant vorticity cites this paper.

Rigidity for capillary liquid drops of nearly circular section with constant vorticity Two-dimensional water waves with constant vorticity and general bottom topography

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T16:56:45.717395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.