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Pseudo-advection method for the two-dimensional stationary Euler equations
Author(s):
Takahiro
Nishiyama
Journal:
Proc. Amer. Math. Soc.
129
(2001),
429-432.
MSC (2000):
Primary 35Q30, 76B03
Posted:
August 28, 2000
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Abstract:
The existence of generalized solutions to the two-dimensional stationary Euler equations with nonvanishing vorticity is proved by a new method completely different from the usual variational approaches.
References:
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- 9.
- G. Wolansky, Existence, uniqueness, and stability of stationary barotropic flow with forcing and dissipation, Comm. Pure Appl. Math. 41 (1988), 19-46. MR 88k:35167
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Additional Information:
Takahiro
Nishiyama
Affiliation:
Department of Mathematics, Keio University, Yokohama 223--8522, Japan
Email:
nisiyama@math.keio.ac.jp
DOI:
10.1090/S0002-9939-00-05748-8
PII:
S 0002-9939(00)05748-8
Keywords:
Two-dimensional stationary Euler equations,
vorticity,
Galerkin method,
pseudo-advection
Received by editor(s):
April 15, 1999
Posted:
August 28, 2000
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2000,
American Mathematical Society
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