Stability in $L^1$ of circular vortex patches
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- by Thomas C. Sideris and Luis Vega
- Proc. Amer. Math. Soc. 137 (2009), 4199-4202
- DOI: https://doi.org/10.1090/S0002-9939-09-10048-5
- Published electronically: July 27, 2009
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Abstract:
The motion of incompressible and ideal fluids is studied in the plane. The stability in $L^1$ of circular vortex patches is established among the class of all bounded vortex patches of equal strength.References
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Bibliographic Information
- Thomas C. Sideris
- Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
- Email: sideris@math.ucsb.edu
- Luis Vega
- Affiliation: Departamento de Matemáticas, Universidad del País Vasco, Apartado 644, 48080 Bilbao, Spain
- MR Author ID: 237776
- Email: luis.vega@ehu.es
- Received by editor(s): April 13, 2009
- Published electronically: July 27, 2009
- Additional Notes: The first author was supported by a grant from the National Science Foundation.
The second author was supported by a grant from the Ministerio de Educación y Ciencia, MTM2007-62186.
The authors thank the anonymous referee for helpful comments. - Communicated by: Walter Craig
- © Copyright 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 137 (2009), 4199-4202
- MSC (2000): Primary 35Q35; Secondary 76B47
- DOI: https://doi.org/10.1090/S0002-9939-09-10048-5
- MathSciNet review: 2538580