Paper Citation Record · LEDGER

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets

As of 17 August 2026, this Paper Citation Record lists 71 of 71 outbound references and 3 inbound Pith citation observations for arXiv:2504.16861.

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pith.paper-citation-record.v1
2504.16861 v2

Coverage vector

measured 71 of 71 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:03:26.807668Z

measured 74 of 74 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T16:42:16.598965Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T06:12:25.689843Z

Reference resolution

71 of 71 outbound references displayed

verified exact2
verified fuzzy58
unresolved11
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External citation measurements

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Outbound references

Observation ddb0ed45-0f17-4561-bf06-f28e1c9974cb · outbound

This paper cites On the Cauch y problem for gravity water waves.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets On the Cauch y problem for gravity water waves

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:30.621275Z

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 e036f3fb-c800-4c21-92b6-81cecd6bcb05 · outbound

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

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Paralinearization of the Dirichl et to Neumann operator, and regularity of three- dimensional water waves

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:30.605537Z

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 98261b69-10df-40e3-8e5a-34c490de1844 · outbound

This paper cites an unresolved cited work.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:03:30.451530Z

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 c77f5f99-7320-4ebe-8f1f-ed2169d0da7d · outbound

This paper cites an unresolved cited work.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:03:30.437254Z

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 bed6ab7e-06d1-4feb-8275-4a114f4fe22e · outbound

This paper cites Ambrose and Nader Masmoudi.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Ambrose and Nader Masmoudi

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:30.425070Z

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 feffa1e3-27a8-4e9f-8c49-0a8e952632ee · outbound

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

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Time quasi-periodic gravity water waves in ﬁnite depth

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:30.412524Z

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 87714fee-5461-4215-ac86-fe888561cd73 · outbound

This paper cites Liquid d rop with capillarity and rotating traveling waves.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Liquid d rop with capillarity and rotating traveling waves

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T11:03:26.120189Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d34c10ae-3ae3-4f04-828d-26e920f5dc56 · outbound

This paper cites Bifurcation from multiple eigenvalues of rotating traveling waves on a capillary liquid drop.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Bifurcation from multiple eigenvalues of rotating traveling waves on a capillary liquid drop

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T11:03:26.124562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a38227f4-625a-4aae-b75d-6c70af90ed60 · outbound

This paper cites Birkhoff normal form for some nonlinear PDEs.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Birkhoff normal form for some nonlinear PDEs

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:30.227751Z

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 8795dbc8-4215-4426-9e9b-3ddd16198039 · outbound

This paper cites Almost global existence for Hamiltonian semilinear Klein-Gordon equations with small Cauchy data on Zoll manifolds.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Almost global existence for Hamiltonian semilinear Klein-Gordon equations with small Cauchy data on Zoll manifolds

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:30.154109Z

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 a37e2e0d-8fac-41d0-b962-bc222aab43ae · outbound

This paper cites Almost global existence for some hamiltonian pdes on manifolds with globally integrable geodesic ﬂow.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Almost global existence for some hamiltonian pdes on manifolds with globally integrable geodesic ﬂow

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:30.137704Z

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 bdbcb6eb-1cbd-45e8-9fcc-d85bafb52e48 · outbound

This paper cites Almo st global existence for some Hamiltonian PDEs with small Cauchy data on general tori.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Almo st global existence for some Hamiltonian PDEs with small Cauchy data on general tori

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:30.002469Z

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 fbb81a85-fab5-4ce0-96f5-336eb476463d · outbound

This paper cites Birkhoff normal form for partial differential equations with tame modulus.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Birkhoff normal form for partial differential equations with tame modulus

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:29.922321Z

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 e0a2e254-5061-40d2-a598-4fb21ccc4ce9 · outbound

This paper cites Brooke Benjamin and Thomas J.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Brooke Benjamin and Thomas J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:29.907672Z

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 b9957d2f-33c0-4818-990d-267cc66b6585 · outbound

This paper cites Brooke Benjamin and Thomas J.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Brooke Benjamin and Thomas J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:29.893277Z

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 b9b40f81-5dcf-4944-a59a-9d46eb3ceafb · outbound

This paper cites Long time stability for cubic nonlinear Schr\"odinger equations on non-rectangular flat tori.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Long time stability for cubic nonlinear Schr\"odinger equations on non-rectangular flat tori

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T11:03:26.157699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2fd67862-ef8f-4afb-8781-eec683fd2ced · outbound

This paper cites Rational n ormal forms and stability of small solutions to nonlinear Schrödinger equations.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Rational n ormal forms and stability of small solutions to nonlinear Schrödinger equations

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:29.792315Z

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 08d01ec7-cff6-4922-8780-a796f4e8dff0 · outbound

This paper cites Long-time existence for semi-linear beam equations on irrational tori.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Long-time existence for semi-linear beam equations on irrational tori

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:29.623562Z

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 5e8cc707-f288-4f9a-b951-836104f9784a · outbound

This paper cites Paralinearization and extended lifespan for solutions of the α-SQG sharp front equation.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Paralinearization and extended lifespan for solutions of the α-SQG sharp front equation

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:29.560132Z

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 fa84cd5c-8443-4108-8d27-aaec0b90f51e · outbound

This paper cites Almost global solutions of capillary-gravity water waves e quations on the circle , volume 24 of Lecture Notes of the Unione Matematica Italiana.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Almost global solutions of capillary-gravity water waves e quations on the circle , volume 24 of Lecture Notes of the Unione Matematica Italiana

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:29.544923Z

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 a7df8497-5859-478c-9b87-f107f90e324f · outbound

This paper cites Birkho ff normal form and long time existence for periodic gravity water waves.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Birkho ff normal form and long time existence for periodic gravity water waves

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:29.462163Z

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 0d9c2b85-9378-4b1d-ba0d-a19577836849 · outbound

This paper cites Trave ling quasi-periodic water waves with constant vorticity .Archive for Rational Mechanics and Analysis, 240(1):99–202, 2021.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Trave ling quasi-periodic water waves with constant vorticity .Archive for Rational Mechanics and Analysis, 240(1):99–202, 2021

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:29.361181Z

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 4c872f3c-cb77-4a2c-bb08-03cb50703df2 · outbound

This paper cites Pure g ravity traveling quasi-periodic water waves with constant vorticity .Communications on Pure and Applied Mathematics, 2023.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Pure g ravity traveling quasi-periodic water waves with constant vorticity .Communications on Pure and Applied Mathematics, 2023

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:29.346247Z

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 a59192c8-194d-4792-9019-61fab0832946 · outbound

This paper cites Time qu asi-periodic vortex patches of Euler equation in the plane.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Time qu asi-periodic vortex patches of Euler equation in the plane

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:29.331151Z

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 96a09ab4-445f-4868-bef9-f69eacd732f8 · outbound

This paper cites Local well posedness of the Euler-Korteweg equations on Td.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Local well posedness of the Euler-Korteweg equations on Td

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:29.198261Z

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 114bee48-b523-454a-bed5-643813b91679 · outbound

This paper cites Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:29.059597Z

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 9b168ccd-6042-4c5f-8897-8429994a47ce · outbound

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

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Hamiltonian Birkhoff normal form for gravity-capillary water waves with constant vorticity: almost global existence

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:29.043543Z

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 0e954e11-fff5-4675-88b6-efa82ec30047 · outbound

This paper cites Quasi-periodic sta nding wave solutions of gravity-capillary water waves.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Quasi-periodic sta nding wave solutions of gravity-capillary water waves

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:28.929797Z

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 1431cf86-7df1-4437-aca5-67368615869a · outbound

This paper cites An a bstract Birkhoff normal form theorem and exponential type stability of the 1d NLS.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets An a bstract Birkhoff normal form theorem and exponential type stability of the 1d NLS

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:28.795634Z

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 38795e3d-0953-4b6e-b158-51e1f9b8bd31 · outbound

This paper cites Caﬂisch and Oscar F.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Caﬂisch and Oscar F

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:28.781716Z

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 752d865c-d7f2-4e0f-8dac-054ecbb5e630 · outbound

This paper cites Co-rotating and tr aveling vortex sheets for the 2D incompressible Euler equa- tion.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Co-rotating and tr aveling vortex sheets for the 2D incompressible Euler equa- tion

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:28.624010Z

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 b5ea732e-f9a0-43b6-b4df-05908c201be1 · outbound

This paper cites Existence of statio nary vortex sheets for the 2D incompressible Euler equation.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Existence of statio nary vortex sheets for the 2D incompressible Euler equation

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:28.501439Z

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 ba64051f-c206-42d6-885d-deab57e7647e · outbound

This paper cites Finite time singularities for the free boundary incompressible Euler equations.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Finite time singularities for the free boundary incompressible Euler equations

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:28.488634Z

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 bf35c5a8-e6bd-4664-8c81-eba3e656add9 · outbound

This paper cites On the motion of vortex sheets with surface tension in three- dimensional euler equations with vorticity.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets On the motion of vortex sheets with surface tension in three- dimensional euler equations with vorticity

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:28.475734Z

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 5f510204-452d-45e0-aecb-87aa23a20549 · outbound

This paper cites In terface evolution: water waves in 2-D.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets In terface evolution: water waves in 2-D

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:28.461318Z

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 7f454e50-45db-434a-975b-8d48e6275bb3 · outbound

This paper cites Numerical simulation of gr avity waves.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Numerical simulation of gr avity waves

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:28.449817Z

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 4037675c-a625-4634-b987-17caf7495ac3 · outbound

This paper cites Existence de nappes de tourbillon en dim ension deux.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Existence de nappes de tourbillon en dim ension deux

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:28.437246Z

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 5dc72c70-3b1d-49e1-9ed0-fdeca5f710a5 · outbound

This paper cites Long-time existence for small data nonlinear Klein-Gordon equations on tori and spheres.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Long-time existence for small data nonlinear Klein-Gordon equations on tori and spheres

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:28.207321Z

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 6c4ab9e6-720f-4675-b297-ea5318de045e · outbound

This paper cites Long time dynamics of quasi- linear Hamiltonian Klein–Gordon equations on the circle.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Long time dynamics of quasi- linear Hamiltonian Klein–Gordon equations on the circle

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:28.194726Z

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 6f6b7cb2-13c4-4b6b-abb2-d207e767a7ea · outbound

This paper cites Long tim e solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein-Gordon equations on tori.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Long tim e solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein-Gordon equations on tori

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:28.181226Z

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 72745cd6-034c-4ab8-9ed1-32f355624df3 · outbound

This paper cites Long time existence for fu lly nonlinear NLS with small cauchy data on the circle.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Long time existence for fu lly nonlinear NLS with small cauchy data on the circle

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:28.007060Z

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 2e56626a-edb8-484e-8a55-b61732563e61 · outbound

This paper cites Rema rks on stationary and uniformly-rotating vortex sheets: Flexi- bility results.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Rema rks on stationary and uniformly-rotating vortex sheets: Flexi- bility results

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.926413Z

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 503399f7-73e9-4db5-998c-6fd642a0fe24 · outbound

This paper cites Invariant K AM tori around annular vortex patches for 2D Euler equa- tions.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Invariant K AM tori around annular vortex patches for 2D Euler equa- tions

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.914323Z

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 15aac314-eb26-4cde-afdb-1e809c83fa1d · outbound

This paper cites KAM theory for active scalar equations.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets KAM theory for active scalar equations

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:03:27.233981Z

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 5cb7a933-50c2-4145-a943-a19f96ad1f44 · outbound

This paper cites Boundary effects on the emergence of quasi-periodic solutions for Euler equations.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Boundary effects on the emergence of quasi-periodic solutions for Euler equations

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.901783Z

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 094121b5-46cb-4c83-993f-3128bc755fad · outbound

This paper cites Über discontinuierliche ﬂüssigkeitsb ewegungen.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Über discontinuierliche ﬂüssigkeitsb ewegungen

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.889427Z

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 c90bc120-d9be-41ff-9037-7a62f27a4b3e · outbound

This paper cites Die energie der wogen und des windes.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Die energie der wogen und des windes

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.877300Z

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 2ac50f95-7a50-455a-af13-bef02492a58f · outbound

This paper cites Time quasi-periodic vortex patches for quasi-geostrophic shallow-water equations.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Time quasi-periodic vortex patches for quasi-geostrophic shallow-water equations

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-16T11:03:26.563732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16b1c728-1384-4d27-88fe-48429fc15dd0 · outbound

This paper cites Hou and Gang Hu.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Hou and Gang Hu

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.865618Z

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 ad05e25a-b70b-46cb-a461-c1d32f9f77e2 · outbound

This paper cites How, John S.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets How, John S

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.853370Z

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 a4f3026c-29d9-4005-9854-aafd0afef4d2 · outbound

This paper cites Ionescu and Fabio Pusateri.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Ionescu and Fabio Pusateri

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.755161Z

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 575d9fd0-cdc3-4314-8ccd-bddc4c6c6321 · outbound

This paper cites Well-posedness of the water-waves equatio ns.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Well-posedness of the water-waves equatio ns

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.675697Z

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 e1c211a7-bf84-466a-a44c-12e0ddefe910 · outbound

This paper cites A stability criterion for two-ﬂuid interfaces an d applications.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets A stability criterion for two-ﬂuid interfaces an d applications

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.663330Z

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 0bced212-2454-4881-85c5-d37729ba713d · outbound

This paper cites The water waves problem , volume 188 of Mathematical Surveys and Monographs.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets The water waves problem , volume 188 of Mathematical Surveys and Monographs

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.650758Z

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 9d79b580-a264-40d3-92be-6583e359d333 · outbound

This paper cites Régularité du problème de Kelvin-Helmholt z pour l’équation d’Euler 2D.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Régularité du problème de Kelvin-Helmholt z pour l’équation d’Euler 2D

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.637931Z

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 53610536-e816-497a-9447-17528168e21b · outbound

This paper cites Majda and Andrea L.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Majda and Andrea L

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.625395Z

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 d1356d3a-2616-4b3c-80cb-38b586e89ad5 · outbound

This paper cites One dimensional en ergy cascades in a fractional quasilinear NLS.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets One dimensional en ergy cascades in a fractional quasilinear NLS

Reference 57

Resolution: verified exact; raw_fallback, observed 2026-08-16T11:03:27.122402Z

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 0e496d7d-90be-4fd9-9ad0-747214975ce2 · outbound

This paper cites Steady bubbles and drops in inviscid fluids.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Steady bubbles and drops in inviscid fluids

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-16T11:03:26.755223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba73f325-b039-470a-9819-12971a5eee88 · outbound

This paper cites Steady ring-shaped vortex sh eets.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Steady ring-shaped vortex sh eets

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-16T11:03:26.759974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de359e79-850e-4b1a-805c-f92cc6c283ba · outbound

This paper cites Quadratic lifespan for the sublinear α-SQG sharp front prob- lem.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Quadratic lifespan for the sublinear α-SQG sharp front prob- lem

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.613682Z

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 7858ff7e-0d3b-492d-ada4-4fae85f1e0f2 · outbound

This paper cites Steady vortex sheets in presence of surface tension.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Steady vortex sheets in presence of surface tension

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-16T11:03:26.767959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2f1eca9-f384-4b3f-96ba-1294aec2a252 · outbound

This paper cites Rotating equilibria of v ortex sheets.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Rotating equilibria of v ortex sheets

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.600142Z

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 bbb7d82a-6c06-45e5-840c-fce3aebecd94 · outbound

This paper cites Periodic and quasi-periodic Euler-alpha ﬂow s close to Rankine vortices.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Periodic and quasi-periodic Euler-alpha ﬂow s close to Rankine vortices

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.587466Z

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 70461fa3-8aff-49a4-8bc0-f065916e6f55 · outbound

This paper cites an unresolved cited work.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Unresolved cited work

Reference 64

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:03:27.574231Z

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 c68d0d42-8cbe-49da-adb9-cc908ac51c2f · outbound

This paper cites Finite time analyticit y for the two- and three-dimensional Rayleigh-Taylor instabil- ity .Transactions of the American Mathematical Society, 287(1):127–160, 1985.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Finite time analyticit y for the two- and three-dimensional Rayleigh-Taylor instabil- ity .Transactions of the American Mathematical Society, 287(1):127–160, 1985

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.449575Z

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 81e6c238-0fed-492e-8be9-d0aa9df8fc55 · outbound

This paper cites Finite time analyticity for the two- and three- dimensional Kelvin-Helmholtz instability .Communications in Mathematical Physics, 80(4):485–516, 1981.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Finite time analyticity for the two- and three- dimensional Kelvin-Helmholtz instability .Communications in Mathematical Physics, 80(4):485–516, 1981

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.403491Z

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 f4dfae62-2980-463f-bcb9-040bd231fc07 · outbound

This paper cites Hydrokinetic solutions and observations.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Hydrokinetic solutions and observations

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.390097Z

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 25f25782-33af-4771-83c7-308de47eaa47 · outbound

This paper cites On a disturbing inﬁnity in Lord Rayleigh’ s solu tion for waves in a plane vortex stratum.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets On a disturbing inﬁnity in Lord Rayleigh’ s solu tion for waves in a plane vortex stratum

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.377773Z

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 2449499e-0a28-457d-bfa5-73278330f124 · outbound

This paper cites Shapes of two-dimensio nal bubbles deformed by circulation.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Shapes of two-dimensio nal bubbles deformed by circulation

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.365121Z

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 8098c042-c39c-40e1-b941-7c0de082c6c2 · outbound

This paper cites Mathematical analysis of vortex sheets.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Mathematical analysis of vortex sheets

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:03:27.352387Z

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 5d3dba95-f961-4852-940d-4b145fa1ffbb · outbound

This paper cites an unresolved cited work.

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets Unresolved cited work

Reference 71

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:03:27.339117Z

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 2d8cbe08-656e-424c-acf6-832a28b6737d · inbound

Global rigidity of two-dimensional bubbles cites this paper.

Global rigidity of two-dimensional bubbles Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-18T06:12:25.693971Z

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 871c0f7f-0edd-4427-949e-49404d5eff81 · inbound

Transfer of energy for pure-gravity water waves with constant vorticity cites this paper.

Transfer of energy for pure-gravity water waves with constant vorticity Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets

Reference 76

Resolution: verified exact; arxiv_id, observed 2026-05-11T06:47:13.156468Z

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 8d215215-e7cb-4b60-9963-b31a261db584 · inbound

Transfer of energy for pure-gravity water waves with constant vorticity cites this paper.

Transfer of energy for pure-gravity water waves with constant vorticity Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-02T16:42:16.598965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.