Uniformly Rotating Vortex Patches with 90-Degree Corners | Paper Citation Record

Observation 9e15bcde-6564-45c7-a348-a39b09cb5ca7 · outbound

This paper cites Remarques sur l’instabilit´ e du probl` eme des poches de tourbillon.Journal of Functional Analysis, 98(2):361–379, 1991.

Uniformly Rotating Vortex Patches with 90-Degree Corners Remarques sur l’instabilit´ e du probl` eme des poches de tourbillon.Journal of Functional Analysis, 98(2):361–379, 1991

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T16:12:21.142788Z

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Observation 91f8a427-da44-4166-a07b-38b5bfb3a8e8 · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Vortex Patches with 90-Degree Corners Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T16:12:21.148498Z

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Observation 2baacffa-149e-4e34-8024-9afbce863330 · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Vortex Patches with 90-Degree Corners Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T16:12:21.153763Z

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Observation a90db104-e368-4678-b198-36247c9b8a6c · outbound

This paper cites Time quasi-periodic vortex patches of Euler equation in the plane.Inventiones Mathematicae, 233(3):1279–1391, 2023.

Uniformly Rotating Vortex Patches with 90-Degree Corners Time quasi-periodic vortex patches of Euler equation in the plane.Inventiones Mathematicae, 233(3):1279–1391, 2023

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T16:12:21.159362Z

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Observation 65c89c4f-d7d4-4d0a-9cf5-2a4e5a201b64 · outbound

This paper cites Bertozzi.Existence, uniqueness, and a characterization of solutions to the contour dynamics equation.

Uniformly Rotating Vortex Patches with 90-Degree Corners Bertozzi.Existence, uniqueness, and a characterization of solutions to the contour dynamics equation

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T16:12:21.164542Z

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Observation 1bbb5809-a0a0-48bd-8059-6cfb7fe7ee42 · outbound

This paper cites Bertozzi and Peter Constantin.

Uniformly Rotating Vortex Patches with 90-Degree Corners Bertozzi and Peter Constantin

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T16:12:21.169465Z

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Observation 462d9fac-eee0-44d8-9a29-61c80d26e7d9 · outbound

This paper cites Motions of vortex patches.Letters in Mathematical Physics, 6(1):1–16, 1982.

Uniformly Rotating Vortex Patches with 90-Degree Corners Motions of vortex patches.Letters in Mathematical Physics, 6(1):1–16, 1982

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T16:12:21.174369Z

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Observation b477a53e-5e82-491d-89c7-51e4bab51c9c · outbound

This paper cites The Kelvin waves in vortex dynamics and their stability.Journal of Com- putational Physics, 45(1):127–156, 1982.

Uniformly Rotating Vortex Patches with 90-Degree Corners The Kelvin waves in vortex dynamics and their stability.Journal of Com- putational Physics, 45(1):127–156, 1982

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:23.073869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 01ea7a51-8169-4bdd-89ad-345e0545e5a1 · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Vortex Patches with 90-Degree Corners Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:12:23.056172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 41e90343-4972-4b22-96de-ebf1541c26e4 · outbound

This paper cites Multiscale steady vortex patches for 2D incompressible Euler equations.SIAM Journal on Mathematical Analysis, 54(2):1488–1514, 2022.

Uniformly Rotating Vortex Patches with 90-Degree Corners Multiscale steady vortex patches for 2D incompressible Euler equations.SIAM Journal on Mathematical Analysis, 54(2):1488–1514, 2022

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:23.039212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9bc319f3-43e3-4adf-956d-90518de0b5ac · outbound

This paper cites Rotating vortex patches for the planar Euler equations in a disk.Journal of Differential Equations, 275:509–532, 2021.

Uniformly Rotating Vortex Patches with 90-Degree Corners Rotating vortex patches for the planar Euler equations in a disk.Journal of Differential Equations, 275:509–532, 2021

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:23.023166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fe98aaa3-034c-4367-9d15-4cdcf545f730 · outbound

This paper cites On the evolution of an angle in a vortex patch.Journal of Nonlinear Science, 10(1):23–47, 2000.

Uniformly Rotating Vortex Patches with 90-Degree Corners On the evolution of an angle in a vortex patch.Journal of Nonlinear Science, 10(1):23–47, 2000

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:23.006557Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e74649bf-b6c1-4428-922d-b36811344d49 · outbound

This paper cites Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations.Duke Mathematical Journal, 165(5):935–984, 2016.

Uniformly Rotating Vortex Patches with 90-Degree Corners Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations.Duke Mathematical Journal, 165(5):935–984, 2016

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T16:12:21.201296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7f992ee-3e2d-4895-bc75-828dea5eab15 · outbound

This paper cites Uniformly rotating analytic global patch solutions for active scalars.Annals of PDE, 2(1), 2016.

Uniformly Rotating Vortex Patches with 90-Degree Corners Uniformly rotating analytic global patch solutions for active scalars.Annals of PDE, 2(1), 2016

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.977951Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 13182d9e-bf6c-4504-b80f-09344d2f26cf · outbound

This paper cites Existence of analytic non-convex V-states.Communications in Mathematical Physics, 406(217), 2025.

Uniformly Rotating Vortex Patches with 90-Degree Corners Existence of analytic non-convex V-states.Communications in Mathematical Physics, 406(217), 2025

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.961004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ef5e48b0-f8d4-4e72-9fd5-2f3a54fde97d · outbound

This paper cites Cerretelli and C.

Uniformly Rotating Vortex Patches with 90-Degree Corners Cerretelli and C

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.944199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fe9880e2-f37b-420f-a8eb-44e424d2020a · outbound

This paper cites Generalized surface quasi- geostrophic equations with singular velocities.Communications on Pure and Applied Mathematics, 65:1037–1066, 2012.

Uniformly Rotating Vortex Patches with 90-Degree Corners Generalized surface quasi- geostrophic equations with singular velocities.Communications on Pure and Applied Mathematics, 65:1037–1066, 2012

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.926994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fa30546c-127a-4b1b-888d-7d3773ee4a14 · outbound

This paper cites Persistance des structures g´ eom´ etriques li´ ees aux poches de tourbillon.S´ eminaire Goulaouic- Schwartz, pages 1–11, 1990–1991.

Uniformly Rotating Vortex Patches with 90-Degree Corners Persistance des structures g´ eom´ etriques li´ ees aux poches de tourbillon.S´ eminaire Goulaouic- Schwartz, pages 1–11, 1990–1991

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.911428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 27a4cfc4-6d7b-4bce-9ab7-c6bd20e45765 · outbound

This paper cites Persistance de structures g´ eom´ etriques dans les fluides incompressibles bidimensionnels.

Uniformly Rotating Vortex Patches with 90-Degree Corners Persistance de structures g´ eom´ etriques dans les fluides incompressibles bidimensionnels

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.894750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 878809a4-9dd9-4682-8b72-c3b832fd586a · outbound

This paper cites Stability and instability of Kelvin waves.Calculus of Variations and Partial Differential Equations, 61(221), 2022.

Uniformly Rotating Vortex Patches with 90-Degree Corners Stability and instability of Kelvin waves.Calculus of Variations and Partial Differential Equations, 61(221), 2022

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.877283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ab7459db-1188-4f2e-b15a-7b452e26ce8f · outbound

This paper cites On existence of Sadovskii vortex patch: A touching pair of symmetric counter-rotating uniform vortices.Annals of PDE, 11(18), 2025.

Uniformly Rotating Vortex Patches with 90-Degree Corners On existence of Sadovskii vortex patch: A touching pair of symmetric counter-rotating uniform vortices.Annals of PDE, 11(18), 2025

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.858272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 034c48ec-9a6b-475b-b8b7-56db61f63959 · outbound

This paper cites Multiscale approximation of vortex patches.SIAM Journal on Applied Mathematics, 60(2):477–502, 2000.

Uniformly Rotating Vortex Patches with 90-Degree Corners Multiscale approximation of vortex patches.SIAM Journal on Applied Mathematics, 60(2):477–502, 2000

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.837034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5c36bc13-f23b-4200-906e-bc509907dc96 · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Vortex Patches with 90-Degree Corners Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:12:22.815075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation aa730f6c-0b99-498f-bfdc-e21884baa748 · outbound

This paper cites Uniqueness for SQG patch solutions.Transactions of the American Mathematical Society, Series B, 5(1):1–31, 2018.

Uniformly Rotating Vortex Patches with 90-Degree Corners Uniqueness for SQG patch solutions.Transactions of the American Mathematical Society, Series B, 5(1):1–31, 2018

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.797396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 685ce2ad-09a8-446f-81d8-79a0db51bccf · outbound

This paper cites Fontelos, Ana M.

Uniformly Rotating Vortex Patches with 90-Degree Corners Fontelos, Ana M

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.776644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8518f965-ef2c-4c90-8cab-5dbc97d4c71b · outbound

This paper cites Evolution temporelle d’une poche de tourbillon singuliere.Communications in Partial Differ- ential Equations, 22(5–6):685–721, 1997.

Uniformly Rotating Vortex Patches with 90-Degree Corners Evolution temporelle d’une poche de tourbillon singuliere.Communications in Partial Differ- ential Equations, 22(5–6):685–721, 1997

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.758680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1a2076ef-b901-4ebc-b795-a37e3f877c46 · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Vortex Patches with 90-Degree Corners Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:12:22.739705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c621fcb9-25c6-4d03-8eaf-2751d13bd7bd · outbound

This paper cites Doubly connectedV-states for the planar Euler equations.SIAM Journal on Mathematical Analysis, 48(3):1892–1928, 2016.

Uniformly Rotating Vortex Patches with 90-Degree Corners Doubly connectedV-states for the planar Euler equations.SIAM Journal on Mathematical Analysis, 48(3):1892–1928, 2016

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T16:12:21.270403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0419afdb-cf8b-4ade-becf-4a8dc8141611 · outbound

This paper cites V-states,.

Uniformly Rotating Vortex Patches with 90-Degree Corners V-states,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.710644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 11069683-439f-45fa-a1c4-5438015b0bf9 · outbound

This paper cites Dritschel.The stability of certain two- and three-dimensional vortical motions: A possible explanation of the multiple vortex phenomenon in tornadoes.

Uniformly Rotating Vortex Patches with 90-Degree Corners Dritschel.The stability of certain two- and three-dimensional vortical motions: A possible explanation of the multiple vortex phenomenon in tornadoes

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.690938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ba46d956-6957-4a92-a1bf-e35e91b2a00a · outbound

This paper cites Dritschel.

Uniformly Rotating Vortex Patches with 90-Degree Corners Dritschel

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.668983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c4d64e80-2021-46d9-92e3-35ee00b88c40 · outbound

This paper cites Dritschel and Michael E.

Uniformly Rotating Vortex Patches with 90-Degree Corners Dritschel and Michael E

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.650840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d654a1f4-cc92-4212-90a3-7e08ca9acce5 · outbound

This paper cites Elgindi and In-Jee Jeong.

Uniformly Rotating Vortex Patches with 90-Degree Corners Elgindi and In-Jee Jeong

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.634406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4903daa8-8701-4c4a-91db-d5787c2d5419 · outbound

This paper cites Elgindi and In-Jee Jeong.

Uniformly Rotating Vortex Patches with 90-Degree Corners Elgindi and In-Jee Jeong

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.617490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1b4fef11-c60b-4c97-ad92-50ef39374dd5 · outbound

This paper cites Cusp Formation in Vortex Patches.

Uniformly Rotating Vortex Patches with 90-Degree Corners Cusp Formation in Vortex Patches

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-15T16:12:21.300325Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6152b38-7dc7-457d-9dfd-2af3558f31ce · outbound

This paper cites Remarks on radial symmetry of stationary and uniformly-rotating solutions for the 2D Euler equation.

Uniformly Rotating Vortex Patches with 90-Degree Corners Remarks on radial symmetry of stationary and uniformly-rotating solutions for the 2D Euler equation

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-15T16:12:21.305754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation adfe2e79-e42b-4842-a94e-ad954bfbc737 · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Vortex Patches with 90-Degree Corners Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:12:22.600177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation eadfcb21-07d6-47c7-9c9e-599b100fd93a · outbound

This paper cites Existence for theα-patch model and the QG sharp front in Sobolev spaces.Advances in Mathematics, 217(6):2569–2598, 2008.

Uniformly Rotating Vortex Patches with 90-Degree Corners Existence for theα-patch model and the QG sharp front in Sobolev spaces.Advances in Mathematics, 217(6):2569–2598, 2008

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.580427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation bb07f7a3-ce16-4714-ae6a-14c8780d3c97 · outbound

This paper cites On the local existence and blow-up for generalized SQG patches.Annals of PDE, 7(4), 2021.

Uniformly Rotating Vortex Patches with 90-Degree Corners On the local existence and blow-up for generalized SQG patches.Annals of PDE, 7(4), 2021

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.564308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f06b233f-c8a5-4145-aaba-c7b09dc8b33d · outbound

This paper cites Dynamics of vortex cap solutions on the rotating unit sphere.Journal of Differential Equations, 417:1–63, 2025.

Uniformly Rotating Vortex Patches with 90-Degree Corners Dynamics of vortex cap solutions on the rotating unit sphere.Journal of Differential Equations, 417:1–63, 2025

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.546882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation acaff48b-8ee8-47e6-8ce0-83faadad77aa · outbound

This paper cites Symmetry in stationary and uniformly rotating solutions of active scalar equations.Duke Mathematical Journal, 170(13):2957–3038, 2021.

Uniformly Rotating Vortex Patches with 90-Degree Corners Symmetry in stationary and uniformly rotating solutions of active scalar equations.Duke Mathematical Journal, 170(13):2957–3038, 2021

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.530483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation edaf775c-707a-483b-912b-f6d2c7a1fa59 · outbound

This paper cites Dynamics near an unstable Kirchhoff ellipse.Communications in Mathematical Physics, 245(2):297–354, 2004.

Uniformly Rotating Vortex Patches with 90-Degree Corners Dynamics near an unstable Kirchhoff ellipse.Communications in Mathematical Physics, 245(2):297–354, 2004

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.513658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 80e12d15-d327-4ae5-93ad-0053c8299a71 · outbound

This paper cites On the V-states for the generalized quasi-geostrophic equations.Commu- nications in Mathematical Physics, 337(1):321–377, 2015.

Uniformly Rotating Vortex Patches with 90-Degree Corners On the V-states for the generalized quasi-geostrophic equations.Commu- nications in Mathematical Physics, 337(1):321–377, 2015

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.497034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7002a889-7840-4113-8f8d-198babb58aac · outbound

This paper cites KAM theory for active scalar equations.Memoirs of the American Mathematical Society, 314(1596), 2025.

Uniformly Rotating Vortex Patches with 90-Degree Corners KAM theory for active scalar equations.Memoirs of the American Mathematical Society, 314(1596), 2025

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.479925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c332e19d-197e-4429-a511-be85390baf9c · outbound

This paper cites Invariant KAM tori around annular vortex patches for 2D Euler equations.Communications in Mathematical Physics, 405(11):1–127, 2024.

Uniformly Rotating Vortex Patches with 90-Degree Corners Invariant KAM tori around annular vortex patches for 2D Euler equations.Communications in Mathematical Physics, 405(11):1–127, 2024

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.456499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 31abbd34-40b6-4935-9100-dabd2e39f250 · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Vortex Patches with 90-Degree Corners Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:12:22.439724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ba52f785-cb09-4897-96d7-7d7390211c6a · outbound

This paper cites Boundary effects on the emergence of quasi-periodic solutions for Euler equations.Nonlinearity, 38(1):015016, 2025.

Uniformly Rotating Vortex Patches with 90-Degree Corners Boundary effects on the emergence of quasi-periodic solutions for Euler equations.Nonlinearity, 38(1):015016, 2025

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.424512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 32471bba-ec77-42b6-9d14-b22318fafa1b · outbound

This paper cites On the trivial solutions for the rotating patch model.Journal of Evolution Equations, 15(4):801– 816, 2015.

Uniformly Rotating Vortex Patches with 90-Degree Corners On the trivial solutions for the rotating patch model.Journal of Evolution Equations, 15(4):801– 816, 2015

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.408285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 530ca711-639f-4435-b155-e0768833ab7d · outbound

This paper cites Bifurcation of rotating patches from Kirchhoff vortices.Discrete and Continuous Dynamical Systems, 36(10):5401–5422, 2016.

Uniformly Rotating Vortex Patches with 90-Degree Corners Bifurcation of rotating patches from Kirchhoff vortices.Discrete and Continuous Dynamical Systems, 36(10):5401–5422, 2016

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.391710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3c893e8b-9aea-4718-b234-58ccf922eaa5 · outbound

This paper cites Degenerate bifurcation of the rotating patches.Advances in Mathematics, 302:799–850, 2016.

Uniformly Rotating Vortex Patches with 90-Degree Corners Degenerate bifurcation of the rotating patches.Advances in Mathematics, 302:799–850, 2016

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-15T16:12:21.370961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44be64a4-c2c7-417c-9235-e542a86a58ef · outbound

This paper cites Boundary regularity of rotating vortex patches.Archive for Rational Mechanics and Analysis, 209(1):171–208, 2013.

Uniformly Rotating Vortex Patches with 90-Degree Corners Boundary regularity of rotating vortex patches.Archive for Rational Mechanics and Analysis, 209(1):171–208, 2013

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-15T16:12:21.375435Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f37a0cab-4961-4a98-a0b5-868f2656f86e · outbound

This paper cites Steady contiguous vortex-patch dipole solutions of the 2D incompressible Euler equation.Archive for Rational Mechanics and Analysis, 249(46), 2025.

Uniformly Rotating Vortex Patches with 90-Degree Corners Steady contiguous vortex-patch dipole solutions of the 2D incompressible Euler equation.Archive for Rational Mechanics and Analysis, 249(46), 2025

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.350532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b24b00f5-5b7a-4a1d-a5ff-80954b6f10a6 · outbound

This paper cites On the rigidity of uniformly rotating vortex patch near the Rankine vortex.Nonlinearity, 38(1):015003, 2025.

Uniformly Rotating Vortex Patches with 90-Degree Corners On the rigidity of uniformly rotating vortex patch near the Rankine vortex.Nonlinearity, 38(1):015003, 2025

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.333360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1012c698-6505-406e-9253-3fef6b7091d0 · outbound

This paper cites Overman II.

Uniformly Rotating Vortex Patches with 90-Degree Corners Overman II

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.316642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation dcda3129-3dff-4b67-94ae-8424c51af053 · outbound

This paper cites Kamm.Shape and Stability of Two-Dimensional Uniform Vorticity Regions.

Uniformly Rotating Vortex Patches with 90-Degree Corners Kamm.Shape and Stability of Two-Dimensional Uniform Vorticity Regions

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.301381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation cb11836a-a63f-42ce-953e-4194764fc3f4 · outbound

This paper cites Vortex motion on a sphere.Journal of the Physical Society of Japan, 56(12):4203–4206, 1987.

Uniformly Rotating Vortex Patches with 90-Degree Corners Vortex motion on a sphere.Journal of the Physical Society of Japan, 56(12):4203–4206, 1987

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.284999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9b52bf94-43b4-41ad-a020-ca89a05e28f3 · outbound

This paper cites Regularity in elliptic free boundary problems I.Journal d’Analyse Math´ ematique, 34(1):86–119, 1978.

Uniformly Rotating Vortex Patches with 90-Degree Corners Regularity in elliptic free boundary problems I.Journal d’Analyse Math´ ematique, 34(1):86–119, 1978

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.268224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 674ab6bc-7178-4974-89bf-73f4d57ae8c1 · outbound

This paper cites Mechanik.

Uniformly Rotating Vortex Patches with 90-Degree Corners Mechanik

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.251275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 01d238d2-24f0-4d83-a5df-77940ed3fb82 · outbound

This paper cites Global regularity and fast small-scale formation for Euler patch equation in a smooth domain.Communications in Partial Differential Equations, 44(4):279–308, 2019.

Uniformly Rotating Vortex Patches with 90-Degree Corners Global regularity and fast small-scale formation for Euler patch equation in a smooth domain.Communications in Partial Differential Equations, 44(4):279–308, 2019

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.235769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a7eb1730-3062-4a9a-baa6-29f2c145bc42 · outbound

This paper cites Illposedness ofC 2 vortex patches.Archive for Rational Mechanics and Analysis, 247(57), 2023.

Uniformly Rotating Vortex Patches with 90-Degree Corners Illposedness ofC 2 vortex patches.Archive for Rational Mechanics and Analysis, 247(57), 2023

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.220511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b1f0e087-1bf5-49ac-b0ee-9f14f3281650 · outbound

This paper cites Theα-SQG patch problem is illposed inC 2,β andW 2,p.Communications on Pure and Applied Mathematics, 78(4):742–820, 2025.

Uniformly Rotating Vortex Patches with 90-Degree Corners Theα-SQG patch problem is illposed inC 2,β andW 2,p.Communications on Pure and Applied Mathematics, 78(4):742–820, 2025

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.204547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a8114f27-23eb-47bf-bb18-98456dd478fb · outbound

This paper cites Finite time singularity for the modified SQG patch equation.Annals of Mathematics, 184(3):909–948, 2016.

Uniformly Rotating Vortex Patches with 90-Degree Corners Finite time singularity for the modified SQG patch equation.Annals of Mathematics, 184(3):909–948, 2016

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.188595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f2ebf699-2d54-4e89-a04d-2dfa1a23d3f7 · outbound

This paper cites Local regularity for the modified SQG patch equation.Com- munications on Pure and Applied Mathematics, 70(7):1253–1315, 2017.

Uniformly Rotating Vortex Patches with 90-Degree Corners Local regularity for the modified SQG patch equation.Com- munications on Pure and Applied Mathematics, 70(7):1253–1315, 2017

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.173324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b8b78b8f-f335-4b28-97f7-93b749959771 · outbound

This paper cites Cambridge University Press, Cambridge, 6th edition, 1932.

Uniformly Rotating Vortex Patches with 90-Degree Corners Cambridge University Press, Cambridge, 6th edition, 1932

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.158022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 115d278f-63dc-4e4e-9030-2f7c0ff1a57d · outbound

This paper cites Sharp local well-posedness ofC 1 vortex patches.arXiv preprint:2509.26046, 2025.

Uniformly Rotating Vortex Patches with 90-Degree Corners Sharp local well-posedness ofC 1 vortex patches.arXiv preprint:2509.26046, 2025

Reference 65

Resolution: verified exact; raw_fallback, observed 2026-08-15T16:12:21.773354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 43e2ea16-cf63-4cf3-8801-bfc9c7170414 · outbound

This paper cites Concentrated steady vorticities of the Euler equation on 2-d domains and their linear stability.Journal of Differential Equations, 266(10):6661–6701, 2019.

Uniformly Rotating Vortex Patches with 90-Degree Corners Concentrated steady vorticities of the Euler equation on 2-d domains and their linear stability.Journal of Differential Equations, 266(10):6661–6701, 2019

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.143297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2e5471a8-97bd-4b28-a2aa-854db6301829 · outbound

This paper cites On the stability of certain vortex motions.Proceedings of the London Mathemat- ical Society, 25(1):18–43, 1893.

Uniformly Rotating Vortex Patches with 90-Degree Corners On the stability of certain vortex motions.Proceedings of the London Mathemat- ical Society, 25(1):18–43, 1893

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.127402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8b736fa0-7ffb-404b-94e8-b6798f26084e · outbound

This paper cites imperfect–velocity– impulse.

Uniformly Rotating Vortex Patches with 90-Degree Corners imperfect–velocity– impulse

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.110988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation aaf432e8-b627-43d5-b26e-1a8763d310c4 · outbound

This paper cites Vorticity and the mathematical theory of incompressible fluid flow.Communications on Pure and Applied Mathematics, 39(S1):S187–S220, 1986.

Uniformly Rotating Vortex Patches with 90-Degree Corners Vorticity and the mathematical theory of incompressible fluid flow.Communications on Pure and Applied Mathematics, 39(S1):S187–S220, 1986

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.095454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f684dea1-504f-40d8-8ff0-335770e105e3 · outbound

This paper cites Majda and Andrea L.

Uniformly Rotating Vortex Patches with 90-Degree Corners Majda and Andrea L

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.078624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c8850333-f373-45be-847b-1e60e999a68f · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Vortex Patches with 90-Degree Corners Unresolved cited work

Reference 71

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:12:22.062332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a4c73a9a-c533-4253-8600-0d7b498aae1b · outbound

This paper cites Quantitative estimates for uniformly-rotating vortex patches.Advances in Mathematics, 411:108779, 2022.

Uniformly Rotating Vortex Patches with 90-Degree Corners Quantitative estimates for uniformly-rotating vortex patches.Advances in Mathematics, 411:108779, 2022

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.046566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 73f94537-d99c-4da5-a308-2e8aae1e8647 · outbound

This paper cites Polvani and David G.

Uniformly Rotating Vortex Patches with 90-Degree Corners Polvani and David G

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:22.031071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3ba8372a-ec60-4ae7-9835-40bb5fc582cb · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Vortex Patches with 90-Degree Corners Unresolved cited work

Reference 74

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:12:22.014890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 376aa35f-6894-4559-ac4b-247495a533f6 · outbound

This paper cites Une preuve directe d’existence globale des vortex patches 2D.Comptes Rendus de l’Acad´ emie des Sciences.

Uniformly Rotating Vortex Patches with 90-Degree Corners Une preuve directe d’existence globale des vortex patches 2D.Comptes Rendus de l’Acad´ emie des Sciences

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:21.998420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2b4ef23a-aaf8-4296-b1cd-5b34ed2fd0d0 · outbound

This paper cites Nonlinear stability of vortex patches.Transactions of the American Mathematical Society, 304(2):617– 638, 1987.

Uniformly Rotating Vortex Patches with 90-Degree Corners Nonlinear stability of vortex patches.Transactions of the American Mathematical Society, 304(2):617– 638, 1987

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:21.981865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ddbe3e93-a6d1-486f-b399-b03e7a23463d · outbound

This paper cites Vibrations of a columnar vortex.Proceedings of the Royal Society of Edinburgh, 10:443–456, 1880.

Uniformly Rotating Vortex Patches with 90-Degree Corners Vibrations of a columnar vortex.Proceedings of the Royal Society of Edinburgh, 10:443–456, 1880

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:21.965692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ef895451-c364-4561-9470-f95ca8357a94 · outbound

This paper cites On steady vortex flow in two dimensions.

Uniformly Rotating Vortex Patches with 90-Degree Corners On steady vortex flow in two dimensions

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:21.948590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 46d31895-677e-4a24-bbc8-0f00b5c4e4a8 · outbound

This paper cites The stability of rotating vortex patches.Communications in Mathematical Physics, 107(1):1–20, 1986.

Uniformly Rotating Vortex Patches with 90-Degree Corners The stability of rotating vortex patches.Communications in Mathematical Physics, 107(1):1–20, 1986

Reference 79

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:21.931811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 340682b3-f535-4d52-b117-8f30fd7bdb37 · outbound

This paper cites Nonlinear stability of circular vortex patches.Communications in Mathe- matical Physics, 99(3):435–450, 1985.

Uniformly Rotating Vortex Patches with 90-Degree Corners Nonlinear stability of circular vortex patches.Communications in Mathe- matical Physics, 99(3):435–450, 1985

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:21.913838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9e0149f2-2931-4787-8c82-3325620e9502 · outbound

This paper cites Degenerate bifurcations of two-fold doubly-connected uniformly rotating vortex patches.

Uniformly Rotating Vortex Patches with 90-Degree Corners Degenerate bifurcations of two-fold doubly-connected uniformly rotating vortex patches

Reference 81

Resolution: unresolved; no resolver link, observed 2026-08-15T16:12:21.521220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09da7bb0-e5ec-4c83-9159-38cdba5cab7a · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Vortex Patches with 90-Degree Corners Unresolved cited work

Reference 82

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:12:21.894568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8df2ed24-d958-4d18-95d4-c24f0bc8af9c · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Vortex Patches with 90-Degree Corners Unresolved cited work

Reference 83

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:12:21.877634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 97dc18a3-a5ab-4823-b1c9-30b4819901ad · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Vortex Patches with 90-Degree Corners Unresolved cited work

Reference 84

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:12:21.860186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation be1d783c-f7f9-405c-af50-59d060d11106 · outbound

This paper cites Zabusky, M.

Uniformly Rotating Vortex Patches with 90-Degree Corners Zabusky, M

Reference 85

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:12:21.842834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1f55439f-c443-4e6b-9d79-eb729f3f8aea · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Vortex Patches with 90-Degree Corners Unresolved cited work

Reference 86

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:12:21.826649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Coverage vector

Reference resolution

Outbound references

Pith citing papers