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Stability in  of circular vortex patches
Author(s):
Thomas
C.
Sideris;
Luis
Vega
Journal:
Proc. Amer. Math. Soc.
137
(2009),
4199-4202.
MSC (2000):
Primary 35Q35;
Secondary 76B47
Posted:
July 27, 2009
MathSciNet review:
2538580
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Abstract:
The motion of incompressible and ideal fluids is studied in the plane. The stability in  of circular vortex patches is established among the class of all bounded vortex patches of equal strength.
References:
-
- 1.
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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
Email:
luis.vega@ehu.es
DOI:
10.1090/S0002-9939-09-10048-5
PII:
S 0002-9939(09)10048-5
Received by editor(s):
April 13, 2009
Posted:
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 of article:
Copyright
2009,
American Mathematical Society
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