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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Stability in $L^1$ of circular vortex patches
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by Thomas C. Sideris and Luis Vega PDF
Proc. Amer. Math. Soc. 137 (2009), 4199-4202 Request permission

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.
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Additional 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