Paper Citation Record · LEDGER

Stability of Vortex Patches in Channels

As of 15 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2606.19942.

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

pith.paper-citation-record.v1
2606.19942 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T16:58:26.418200Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

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External citation measurements

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Outbound references

Observation 6cfe4047-7eba-4413-b50c-935843f3b0f0 · outbound

This paper cites Stability of lamb dipoles.Archive for Rational Mechanics and Analysis, 244(3):877–917, 2022.

Stability of Vortex Patches in Channels Stability of lamb dipoles.Archive for Rational Mechanics and Analysis, 244(3):877–917, 2022

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4f39191-13ef-4d0d-b037-4c9ebb66e995 · outbound

This paper cites Stability of lamb dipoles for odd-symmetric and non-negative initial disturbances without the finite mass condition.

Stability of Vortex Patches in Channels Stability of lamb dipoles for odd-symmetric and non-negative initial disturbances without the finite mass condition

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

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Observation d79c4ba7-ee1d-425d-93fb-e31d8ea713f4 · outbound

This paper cites Existence and stability of sadovskii vortices: from patch to smooth vortices.arXiv e-prints, pages arXiv– 2507, 2025.

Stability of Vortex Patches in Channels Existence and stability of sadovskii vortices: from patch to smooth vortices.arXiv e-prints, pages arXiv– 2507, 2025

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4fbddf0-1427-49eb-8a44-03ed979899fd · outbound

This paper cites Global nonlinear stability for steady ideal fluid flow in bounded planar domains.Archive for rational mechanics and analysis, 176(2):149–163, 2005.

Stability of Vortex Patches in Channels Global nonlinear stability for steady ideal fluid flow in bounded planar domains.Archive for rational mechanics and analysis, 176(2):149–163, 2005

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

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Observation 916a8972-50d3-4d1e-adf0-f308a6f7ac88 · outbound

This paper cites Nonlinear orbital stability for planar vortex patches.Proceedings of the American Mathematical Society, 147(2):775–784, 2019.

Stability of Vortex Patches in Channels Nonlinear orbital stability for planar vortex patches.Proceedings of the American Mathematical Society, 147(2):775–784, 2019

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2668e438-41fe-4f2d-8e27-ed3c8671ad4a · outbound

This paper cites Nonlinear stability of planar vortex patches in an ideal fluid.Journal of Mathematical Fluid Mechanics, 23(3):58, 2021.

Stability of Vortex Patches in Channels Nonlinear stability of planar vortex patches in an ideal fluid.Journal of Mathematical Fluid Mechanics, 23(3):58, 2021

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee3c78be-73c1-4014-b79a-a4ba4c0ad423 · outbound

This paper cites Stability of monotone, nonnegative, and compactly supported vorticities in the half cylinder and infinite perimeter growth for patches.

Stability of Vortex Patches in Channels Stability of monotone, nonnegative, and compactly supported vorticities in the half cylinder and infinite perimeter growth for patches

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d273ff7-312e-4261-89d5-61353a93ffac · outbound

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

Stability of Vortex Patches in Channels Stability of vortex quadrupoles with odd-odd symmetry

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-04T04:29:35.056799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3b583c5c-beb0-4ef5-8024-5f883e15fa1a · outbound

This paper cites an unresolved cited work.

Stability of Vortex Patches in Channels Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

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Observation d274a74f-640c-4435-806b-bf0d357a7aa8 · outbound

This paper cites Number 128.

Stability of Vortex Patches in Channels Number 128

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

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Observation 894c078e-1c50-4874-a21b-66001a226a90 · outbound

This paper cites Variational principles and free-boundary problems.(No Title), 1982.

Stability of Vortex Patches in Channels Variational principles and free-boundary problems.(No Title), 1982

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

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Observation 135e78ff-357e-4d0e-887c-7a8fc08c3a8a · outbound

This paper cites Friedman.Variational principles and free-boundary problems.

Stability of Vortex Patches in Channels Friedman.Variational principles and free-boundary problems

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 383b9eed-4368-4c71-8b27-1bc6045412ca · outbound

This paper cites Vortex rings: existence and asymptotic estimates.

Stability of Vortex Patches in Channels Vortex rings: existence and asymptotic estimates

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

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Observation 183b534e-79ff-41fd-8ac9-c1655fdc68ff · outbound

This paper cites Springer Science & Business Media, 2011.

Stability of Vortex Patches in Channels Springer Science & Business Media, 2011

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

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Observation 43c28678-e5d2-4b63-99df-c57a14680945 · outbound

This paper cites The two-dimensional euler equations on singular domains.Archive for Rational Mechanics and Analysis, 209(1):131–170, 2013.

Stability of Vortex Patches in Channels The two-dimensional euler equations on singular domains.Archive for Rational Mechanics and Analysis, 209(1):131–170, 2013

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdb7ab47-17d0-456c-b7a3-360f68c8ad9f · outbound

This paper cites Small scale creation for 2d free boundary euler equations with surface tension.Annals of PDE, 10(2):13, 2024.

Stability of Vortex Patches in Channels Small scale creation for 2d free boundary euler equations with surface tension.Annals of PDE, 10(2):13, 2024

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8243f88f-dc70-46fc-828f-2c39fba9a1cc · outbound

This paper cites Small scale creation for solutions of the incompress- ible two-dimensional euler equation.Annals of mathematics, 180(3):1205–1220, 2014.

Stability of Vortex Patches in Channels Small scale creation for solutions of the incompress- ible two-dimensional euler equation.Annals of mathematics, 180(3):1205–1220, 2014

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be150dc2-69f0-4e22-b333-a6b06824979f · outbound

This paper cites The euler equations in planar domains with corners.

Stability of Vortex Patches in Channels The euler equations in planar domains with corners

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c08cd544-d5b9-4cd7-ba10-1e65b420610b · outbound

This paper cites an unresolved cited work.

Stability of Vortex Patches in Channels Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61cbc6f0-de24-4721-9cf6-804c6f01cd5c · outbound

This paper cites On steady vortex flow in two dimensios, ii.Communications in partial differential equations, 8(9):1031–1071, 1983.

Stability of Vortex Patches in Channels On steady vortex flow in two dimensios, ii.Communications in partial differential equations, 8(9):1031–1071, 1983

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df821715-d893-4635-9efd-c8f9feb8339c · outbound

This paper cites On the evolution of a concentrated vortex in an ideal fluid.Archive for Rational Mechanics and Analysis, 97(1):75–87, 1987.

Stability of Vortex Patches in Channels On the evolution of a concentrated vortex in an ideal fluid.Archive for Rational Mechanics and Analysis, 97(1):75–87, 1987

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20bd1b3f-76b2-46e5-8505-dab9c198e2f1 · outbound

This paper cites Fast growth of the vorticity gradient in symmetric smooth domains for 2d incompressible ideal flow.Journal of Mathematical Analysis and Applications, 439(2):594– 607, 2016.

Stability of Vortex Patches in Channels Fast growth of the vorticity gradient in symmetric smooth domains for 2d incompressible ideal flow.Journal of Mathematical Analysis and Applications, 439(2):594– 607, 2016

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3cfdbe4-f083-48a1-9c4c-23dc5d2a9874 · outbound

This paper cites Exponential growth of the vorticity gradient for the euler equation on the torus.Advances in Mathematics, 268:396–403, 2015.

Stability of Vortex Patches in Channels Exponential growth of the vorticity gradient for the euler equation on the torus.Advances in Mathematics, 268:396–403, 2015

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-26T16:58:26.418200Z

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Unavailable: canonical work link unavailable.

Pith citing papers

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