Stability in 𝐿¹ of circular vortex patches

Thomas C. Sideris, Luis Vega

Type: Article

Publication Date: 2009-07-27

Citations: 22

DOI: https://doi.org/10.1090/s0002-9939-09-10048-5

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Locations

Proceedings of the American Mathematical Society - View
arXiv (Cornell University) - View - PDF

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+ PDF Chat	2D Euler equation on the strip: Stability of a rectangular patch	2016	Jennifer N. Beichman Sergey A. Denisov
+	On singular vortex patches, II: Long-time dynamics	2020	Tarek M. Elgindi In‐Jee Jeong
+	Growth of perimeter for vortex patches in a bulk	2020	Kyudong Choi In‐Jee Jeong
+ PDF Chat	Stability of Lamb Dipoles	2022	Ken Abe Kyudong Choi
+ PDF Chat	Twisting in Hamiltonian flows and perfect fluids	2024	Theodore D. Drivas Tarek M. Elgindi In‐Jee Jeong
+	Nonlinear stability for stationary helical vortices	2020	Maicon J. Benvenutti
+ PDF Chat	Growth of perimeter for vortex patches in a bulk	2020	Kyudong Choi In‐Jee Jeong
+	On Singular Vortex Patches, II: Long-time dynamics	2019	Tarek M. Elgindi In‐Jee Jeong
+	On the estimate of distance traveled by a particle in a disk-like vortex patch	2019	Kyudong Choi
+	Symmetry in stationary and uniformly-rotating solutions of active scalar equations	2019	Javier Gómez-Serrano Jaemin Park Jia Shi Yao Yao

Works Cited by This (6)

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+	Sur le mouvement des particules d'un fluide parfait incompressible bidimensionnel	1991	J.-Y. Chemin
+ PDF Chat	Nonlinear stability of circular vortex patches	1985	Y. H. Wan Mario Pulvirenti
+ PDF Chat	On the evolution of compactly supported planar vorticity	1999	Dragoš Sideris Thomas C. Sideris Pascal Gamblin
+ PDF Chat	Bounds on the growth of the support of a vortex patch	1994	Carlo Marchioro
+	Non-stationary flow of an ideal incompressible liquid	1963	V. I. Yudovich
+	Nonlinear stability bounds for inviscid, two-dimensional, parallel or circular flows with monotonic vorticity, and the analogous three-dimensional quasi-geostrophic flows	1988	David G. Dritschel