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Paper Citation Record · LEDGER

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

As of 17 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 1 inbound Pith citation observation for arXiv:2502.09370.

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

pith.paper-citation-record.v1
2502.09370 v2

Coverage vector

measured 62 of 62 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T21:54:14.156019Z

measured 63 of 63 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:11:14.867103Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T23:11:14.947611Z

Reference resolution

62 of 62 outbound references displayed

  • verified exact1
  • verified fuzzy61
  • unresolved0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1ecae8d2-a134-4367-8da7-179c9b97b26d · outbound

This paper cites Gravity capillary standing water waves.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Gravity capillary standing water waves

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-07T21:54:13.849503Z digest=sha256:8fae99dc0853fbdeec404bb455b8ded4248ad3387a3c12d6a866ca844d1708dd

Observation 1f0549ba-bec7-44b2-a646-f76e94634bd4 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity On the water-wave equations with surface tension

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:15.231756Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.855103Z digest=sha256:b0fc5981a9111b3f1a976f8e829b3dd0a9ba3573696000ac3a39e8c5bd928a73

Observation 50a3787b-a0ff-4470-85c0-e4d162089226 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity On the Cauchy problem for gravity water waves

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:15.217725Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.860530Z digest=sha256:2677306d511775af99ee5d1221750328dafdb027d5ba6ba9c71615e163ab6e00

Observation f3965152-9e40-405b-a790-b8c00e7ba3c9 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Cauchy theory for the gravity water waves system with non-localized initial data

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:15.204579Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.866047Z digest=sha256:1ab71dca0470ba5e2014bbbec0ff9cfaebb952916f1fa41211fce0722a19f4b4

Observation ff3df36f-1a08-465a-9ebf-7296319a63d6 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Sobolev estimates for two dimensional gravity water waves

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:15.191435Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.871509Z digest=sha256:306fb532a88f1b069d3709a6eb382c8467e90b2d9015b4d79e882f1573f690c3

Observation df3bee46-7c70-4d5f-8543-010d04f3395e · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Two-dimensional gravity waves at low regularity II: Global solutions

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:15.177322Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.876362Z digest=sha256:25f90b6a2f32b1f1abbc1137750f33b3da0252a5a1c148ba3d17e32c89086e31

Observation c64e5ddf-8911-4ea8-83e4-502c8ed4791e · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Paralinearization of the Dirichlet to Neumann operator, and regularity of three-dimensional water waves

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:15.163470Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.881923Z digest=sha256:715fb627c80e8762c04bcc662ba4b6db4eabb9e314fda0a4fa29e7b51e80e861

Observation 8251139a-e1f1-4a99-80c0-f5574e8b312f · outbound

This paper cites Hamiltonian studies on counter-propagating water waves.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Hamiltonian studies on counter-propagating water waves

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:15.149185Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.886501Z digest=sha256:44bbd7ad2904e97159b6c4e468a8d4353555784c2ba41d6922388f21f1c32456

Observation a49a288f-6d05-4b8c-8812-99916482e076 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Time quasi-periodic gravity water waves in finite depth

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:15.128783Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.891258Z digest=sha256:0a0e56c2d7f9388f5f06f1ca5cca3f3c9ad7c850d270d9de288e577f51fd259c

Observation 11eb80b0-35dc-4620-994b-f106fc657456 · outbound

This paper cites Fourier analysis and nonlinear partial differential equations.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Fourier analysis and nonlinear partial differential equations

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:15.114042Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.896062Z digest=sha256:612848a17d9d927e64727c98da4726d6341dd52108caf9c5e9ea5828af932770

Observation 6bc517c0-8f0b-42ed-9a44-b6d4e28a236d · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Almost Global Solutions of Capillary-Gravity Water Waves Equations on the Circle

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:15.100070Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.900999Z digest=sha256:527cc7bdbb0bc1fa33c733638ceabeb44e90639148ba26fb6d64ee99a5bcc8ed

Observation 2ecfcce1-bafd-4d0a-8e3a-67639a683311 · outbound

This paper cites Impulse, flow force and variational principles.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Impulse, flow force and variational principles

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:15.085341Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.906502Z digest=sha256:e4916f69bbaf497b201386072321d4d33e418313f15a38e356e37021a2da5c46

Observation 07a4da3a-4d29-4af9-8679-a8d9a0d35c36 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Traveling quasi-periodic water waves with constant vorticity

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:15.069905Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.910822Z digest=sha256:c2217e3f24fb684b75a7494183207902ad33ad20522db814106c3b27eee6632f

Observation 1b9d57a3-2b28-4bca-a561-11add67ea6a6 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Pure gravity traveling quasi-periodic water waves with constant vorticity

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:15.055222Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.915763Z digest=sha256:1fb3b003e75e8bdbe3c279f132a8aee38a8828fc90d1282a2d90b8f4c9230847

Observation 559a0dd2-d461-4697-a2e3-1453a27264b3 · outbound

This paper cites A variational reduction and the existence of a fully localised solitary wave for the three-dimensional water-wave problem with weak surface tension.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity A variational reduction and the existence of a fully localised solitary wave for the three-dimensional water-wave problem with weak surface tension

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:15.040243Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.920315Z digest=sha256:db7ce4648d78e35e948eb1686cebc925344316825d98aa4ab90010bef1ca98cd

Observation 3e9b3d2a-ce70-4b67-8dfa-da46f8deab5f · outbound

This paper cites Fully localised three-dimensional gravity-capillary solitary waves on water of infinite depth.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Fully localised three-dimensional gravity-capillary solitary waves on water of infinite depth

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:15.024699Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.924760Z digest=sha256:ee071e50e139df55dde60c1a811711661bbc5c9a45132d3eebc8bd167b101968

Observation 91d3d6d3-1b78-4ec5-85a4-b3637cf87cc2 · outbound

This paper cites Hamiltonian long-wave approximations to the water-wave problem.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Hamiltonian long-wave approximations to the water-wave problem

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:15.009361Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.929426Z digest=sha256:c8b41356014bd3534f318b14a6446d7b195917dc9d905e83bd3f4553cff4a39b

Observation 65e8b877-e9df-48ce-8795-078ddca595ce · outbound

This paper cites On the motion of the free surface of a liquid.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity On the motion of the free surface of a liquid

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.993829Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.934374Z digest=sha256:7c85dc96cee40421e862cbbbfb2b4acc4e51c3847634e5c0c0fc55d045a2339c

Observation a617fdd9-a1ff-4bca-8a82-8136d3d6542e · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Well-posedness and shallow-water stability for a new Hamiltonian formulation of the water waves equations with vorticity

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.977678Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.939044Z digest=sha256:20e0a59e5224a338c9a5c0a488c8a3165d8460f269243b2c4501816b567bfb12

Observation e437e2c4-3670-4953-8045-8dadb07fb5ef · outbound

This paper cites Traveling two and three dimensional capillary gravity water waves.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Traveling two and three dimensional capillary gravity water waves

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.960669Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.944112Z digest=sha256:3f0ebb1a0814a38dbcee399fda5f3ced48607da0c4a23466a82ce4ec630e4061

Observation 782cdced-acd5-45bc-9e78-348cf52dffec · outbound

This paper cites Traveling gravity water waves in two and three dimensions.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Traveling gravity water waves in two and three dimensions

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.944433Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.949731Z digest=sha256:c42f7f074eaf6b6f29673c4b956ac0fd51f886f5f0e031ca5b6cb7d3c045a1d4

Observation 4ed27c5a-ce42-4ae8-b081-5de3f993468d · outbound

This paper cites Numerical simulation of gravity waves.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Numerical simulation of gravity waves

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.927930Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.954878Z digest=sha256:204a0e85fb74b8600df8d467d9a42630de4c45a7dc6f10ad3b4b4cc4c6b736a1

Observation bd0e644e-d842-4ec9-b527-e5a37dcc1b67 · outbound

This paper cites Exact steady periodic water waves with vorticity.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Exact steady periodic water waves with vorticity

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.913055Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.959351Z digest=sha256:059cab02ee9439c609d4e15d1e893b86b0dcb52b7f5ea56d41f49a60028f85e1

Observation dbea5338-fda5-43d0-85b8-3e329eea5323 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Well-posedness of the free-surface incompressible Euler equations with or without surface tension

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.898580Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.964336Z digest=sha256:33e8a9d7569de9de6cc24dfa87c60cb3476b39153e1cd693b6d1ad4990ae48df

Observation 72ba37e2-b8ab-41b6-8d92-d8b4efc0df2b · outbound

This paper cites Global solutions of the gravity-capillary water-wave system in three dimensions.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Global solutions of the gravity-capillary water-wave system in three dimensions

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.882696Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.968916Z digest=sha256:ae3287efaf749d78c9778187952d944cb64cc08ef16a2b2811cf893823c84b6e

Observation 5da3c283-0339-43e8-93c3-76c5e9b0dad6 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Smooth stationary water waves with exponentially localized vorticity

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.759673Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.973540Z digest=sha256:4d98c5970e99b9e5b2ef0174de5354e2d85446af8a8e1bf9c2025a75da0d400f

Observation 08735ac0-4e32-4500-aae4-340b0ea5c9e5 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Quasi-periodic traveling waves on an infinitely deep perfect fluid under gravity , volume 295

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.743153Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.979204Z digest=sha256:d5357b895dd3b2129a9faadd1b83e5ab94792840f82def42d3dffbd9ea554c49

Observation b18b0b9a-d004-472e-a565-8dfdd9249f53 · outbound

This paper cites Theorie der wellen.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Theorie der wellen

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.727616Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.983524Z digest=sha256:6e8964a3b661e8ed3203373f2c4b9a570c43714833467cc9f8ba66c7b02e1ec4

Observation 21dc40c7-c094-4f05-af79-617df2e5ac09 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity A variational formulation for steady surface water waves on a Beltrami flow

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.713671Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.987689Z digest=sha256:18585cf8a44f5d945f875d67ab914c9fe7e5d08b0824ac8599950c65262b108e

Observation 157d760b-b0ac-4d76-a859-0b60ef719a78 · outbound

This paper cites Global solutions for the gravity water waves equation in dimension 3.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Global solutions for the gravity water waves equation in dimension 3

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.697832Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.991734Z digest=sha256:0f2a036198476e03c81a335b543e13d08e17071ef92e7df3af8062f8ef53f5ef

Observation f7660cdc-d4af-4989-9546-7952881a4c19 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Analytical study of a generalised Dirichlet--Neumann operator and application to three-dimensional water waves on Beltrami flows

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.684364Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.995912Z digest=sha256:07ac09d6c87e5aab1fbbbdc61b830d2f12291e53ab96c752dab99b4f0d642751

Observation 98e01270-1aa7-4b48-876a-2e4ba0e4530a · outbound

This paper cites Long time regularity for 3d gravity waves with vorticity.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Long time regularity for 3d gravity waves with vorticity

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-08-07T21:54:14.204994Z

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.

source=arxiv_source observed=2026-08-07T21:54:13.999930Z digest=sha256:b830243568a2a177ff30184a557801d541d904b7d28ff993f3616f1854221b45

Observation d16779bd-dc4a-4ba0-8c90-6b52e835960a · outbound

This paper cites Traveling water waves--the ebb and flow of two centuries.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Traveling water waves--the ebb and flow of two centuries

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.670984Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.004850Z digest=sha256:f3a037f0487a8f3a4471697302dc0ca1ca09fdc1e4cd02d12f0a1d22d98b45f5

Observation 1dd2ca61-08d0-435d-824f-f2a843081a4b · outbound

This paper cites Lectures on nonlinear hyperbolic differential equations , volume 26.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Lectures on nonlinear hyperbolic differential equations , volume 26

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.657618Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.009759Z digest=sha256:9bba5aa26ba8c50fee53e1b1cad533f99e6b12f87e483f71830a4122f931b0a4

Observation ab8ce9a6-7ac3-481e-899e-9f6e200c41df · outbound

This paper cites Small divisor problem in the theory of three-dimensional water gravity waves.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Small divisor problem in the theory of three-dimensional water gravity waves

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.642979Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.014836Z digest=sha256:d5a9da3878346e92d2700caf55376ca1e27fb1ff7213f25dd536ff2ce0eb0087

Observation aa6ae828-12db-4f0f-a22d-055578acd87c · outbound

This paper cites Asymmetrical three-dimensional travelling gravity waves.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Asymmetrical three-dimensional travelling gravity waves

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.628575Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.019675Z digest=sha256:30954abac53662ed96f82f8c058620a4de4c7393717e8535ada8ac8c7f48d24f

Observation fd46d217-2e5b-4acf-bebc-62eb6fd8dfe5 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Global solutions for the gravity water waves system in 2d

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.613789Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.024812Z digest=sha256:5618007dfad5db8423e94634f7b47b7dbc0758d04758466e76bb9d45a6b0e7af

Observation 52312e95-b69e-4fa6-9555-910cc0db707c · outbound

This paper cites Long-time existence for multi-dimensional periodic water waves.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Long-time existence for multi-dimensional periodic water waves

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.599605Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.029888Z digest=sha256:cb0b65c6e294120f02880e4a79609a30db64a477ee7e67e62767e4eaf3c3ed7d

Observation d49a2db8-a899-4321-8f9e-bd7b8bfdde52 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Standing waves on an infinitely deep perfect fluid under gravity

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.585777Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.036466Z digest=sha256:d905112a7d946efe8031eb3e41dcedb9161567994e0fca75749278a2f32d8100

Observation 58f5a820-9215-4a23-b946-b977e7c4cb3d · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Sharp hadamard local well-posedness, enhanced uniqueness and pointwise continuation criterion for the incompressible free boundary euler equations

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.571709Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.042561Z digest=sha256:e5e5848e3bb8d310ae19cb3c44a57883d6ffcab4ad92340ea66ba4549e0bc87d

Observation 7978f410-f0f0-4ef3-a662-c08d980468c5 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Two-dimensional gravity water waves with constant vorticity, I: Cubic lifespan

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.557022Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.050946Z digest=sha256:167625545c14f2228b72e2e660460b0a9a4734a6e87ee82f4a40b0151f3a3b37

Observation 1184706f-924b-4ae2-95b0-27ef4bdb3fa2 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Well-posedness of the water-waves equations

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.541956Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.056770Z digest=sha256:385f74a26dbd72c08a815590123c7053025b02af03511649e650f1cb80bafe3e

Observation 4b131ae3-2406-4ee3-ab92-6da9601fad21 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity The water waves problem: mathematical analysis and asymptotics , volume 188

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.527408Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.062945Z digest=sha256:796f5591c516f9f3c3400e9249366503481e46e36f28d089a7a53ea8ae61cf80

Observation 0f79a9de-8855-49e8-b3f2-8f27dde94eee · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity D \'e termination rigoureuse des ondes permanentes d'ampleur finie

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.513017Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.068912Z digest=sha256:ebcb3f5a965d2bb39f4d96355f906001a0f5119257a2a79ee3a9191c8fd44263

Observation 1303714b-9836-4781-86b0-8a413aace6e8 · outbound

This paper cites Well-posedness for the motion of an incompressible liquid with free surface boundary.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Well-posedness for the motion of an incompressible liquid with free surface boundary

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.497028Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.074676Z digest=sha256:cfa2fdf8faa2f6c7a5b07ff6e258e6f54099b90a901955287ccdba8101a83f38

Observation 66853aea-f4a9-465e-b4de-984caf5b17f1 · outbound

This paper cites An Existence Theory for Small-Amplitude Doubly Periodic Water Waves with Vorticity.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity An Existence Theory for Small-Amplitude Doubly Periodic Water Waves with Vorticity

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.482492Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.079609Z digest=sha256:b2c2c0e0ad069e5ccd27316f0dd45d1aa8d34e6015785136c4ae5d11e72b308a

Observation 33c09bdc-5ae0-4366-8f76-93882aaaef5c · outbound

This paper cites A variational principle for three-dimensional water waves over Beltrami flows.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity A variational principle for three-dimensional water waves over Beltrami flows

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.469595Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.084484Z digest=sha256:e09e12390f2c403473ac9ac62d2d31e88a6347d119a8d3239127e23059eb47a9

Observation b84f7bbd-1954-4bec-95ce-bf481b83bf21 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Paradifferential Calculus and Application to the Cauchy Problem for Nonlinear Systems

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.454572Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.088937Z digest=sha256:05b073fd40f73a63fdf57935a7f00288ad1adfed0d23625470efa7a7f0d2c712

Observation 94132c40-0bea-4001-abaf-282558348e8a · outbound

This paper cites A new approach to analyticity of Dirichlet-Neumann operators.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity A new approach to analyticity of Dirichlet-Neumann operators

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.438348Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.093510Z digest=sha256:a895eddb52ed4db778d4c53a22199bc2c0d183c423dc20f2261095f6aba7c80b

Observation 7895c282-843b-4a3a-b493-31805b9bb224 · outbound

This paper cites Three-dimensional, nonlinear wave interaction in water of constant depth.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Three-dimensional, nonlinear wave interaction in water of constant depth

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.422445Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.097773Z digest=sha256:88cac9de9a26fa27204fc73d8d5c40db21b16c11cc1167d6e42eda9c29a6d1ef

Observation 6366b20c-eadc-4d05-bea3-01b22f3cc1a8 · outbound

This paper cites Pseudodifferential operators and spectral theory , volume 57.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Pseudodifferential operators and spectral theory , volume 57

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.407408Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.102115Z digest=sha256:1b2d0fcb292a9d661ced3ca905b34e3ef1f5c7d67fe6eca375326942849cfe34

Observation 828b3e9c-3341-4939-ab41-9acaf780a1da · outbound

This paper cites On the theory of oscillatory waves.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity On the theory of oscillatory waves

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.392840Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.106786Z digest=sha256:af85ded14266bdabc58ab83d06e04cfe7290199443973576b3d31be8290a6c0c

Observation f4600d82-444b-42c3-b188-e251e68f7330 · outbound

This paper cites Symmetric doubly periodic gravity-capillary waves with small vorticity.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Symmetric doubly periodic gravity-capillary waves with small vorticity

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.376834Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.111423Z digest=sha256:28333630abcb088c7f6162dcd66ac59f7b70c3375c4f5fabb09bee2ef303659a

Observation 51d6314c-2557-49f5-9d05-dd3366e7758b · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Local well-posedness for fluid interface problems

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.359920Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.116011Z digest=sha256:bcea4b089126943496d246b97b5d254fe405fb97cd53771eb347540d8a59bfc6

Observation defb0c24-650f-4c46-b3b3-3a2ababec134 · outbound

This paper cites Partial differential equations III: Nonlinear Equations , volume 117.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Partial differential equations III: Nonlinear Equations , volume 117

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.342932Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.120516Z digest=sha256:c76dc3bc4351472b0fc7f0e4834970fab55fa3bd6c7eaf5b838b21ece52fce1f

Observation e0b0a70a-1201-4ae7-b922-a3969719f87b · outbound

This paper cites Commutator estimates for H \"o lder continuous and bmo-Sobolev multipliers.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Commutator estimates for H \"o lder continuous and bmo-Sobolev multipliers

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.324833Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.125273Z digest=sha256:e639b184f125d95e0b80b7e06949d284b46699f7107a5704e84528cfbf8fd9f0

Observation 97e1ae0b-0d83-4a25-bc71-6de8a6777001 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Steady periodic capillary-gravity waves with vorticity

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.306043Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.130012Z digest=sha256:5ff869a1110a0e4000391b8174708926949a328351227f4abcc721072ab64c72

Observation bc59316c-9b74-4767-8d4d-7c825068a9dd · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity A Hamiltonian formulation of water waves with constant vorticity

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.287461Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.134841Z digest=sha256:c52d79cebcbb9eb61846bf5bd423dfbecf08df05e8f5079e9a1f8c811ac11cda

Observation 9365a859-d87f-4314-91a3-05950054c4a9 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Almost global wellposedness of the 2-D full water wave problem

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.268296Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.140049Z digest=sha256:c0ff387269eecbb7a157efe6e787f3ab3b1b7b0dc3b53163178efa9119c069bc

Observation c1dc0772-6852-4a92-9c52-0469dd714737 · outbound

This paper cites Global wellposedness of the 3-D full water wave problem.

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Global wellposedness of the 3-D full water wave problem

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.252300Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.145507Z digest=sha256:907601f62db7050498b53d5ff9f9e0cf50d0a48ec08916dd391a5546fc6e3fdc

Observation 6b2ebdf6-ca11-449b-b72e-13a1fef9f585 · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Global bifurcation of capillary-gravity water waves with overhanging profiles and arbitrary vorticity

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.236595Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.150555Z digest=sha256:4a061080638c8471e5285e1753b8d0c9d8010122506fbbdc6f3c37995df0d3f8

Observation b58a2835-6c32-4342-91ff-47fc567fa10f · outbound

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

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:54:14.219938Z

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.

source=arxiv_source observed=2026-08-07T21:54:14.156019Z digest=sha256:f251097e4cf27f356a96b9539a810b1c8da983aafebe3f0d504db064b46976d6

Pith citing papers

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

Two-dimensional water waves with constant vorticity and general bottom topography cites this paper.

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.

source=arxiv_source observed=2026-08-15T23:11:14.867103Z digest=sha256:8b2bcb57c6e83a94367078d5b78c10aee4322fc86158bd4b13240c72f5eaa911