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On blow-up of solution for Euler equations

Published online by Cambridge University Press:  15 April 2002

Eric Behr ,
Jindřich Nečas  and
Hongyou Wu
Eric Behr
Affiliation:
Department of Mathematics, Northern Illinois University, DeKalb, IL 60115, USA.
Jindřich Nečas
Affiliation:
Department of Mathematics, Northern Illinois University, DeKalb, IL 60115, USA.
Hongyou Wu
Affiliation:
Department of Mathematics, Northern Illinois University, DeKalb, IL 60115, USA.
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Abstract

We present numerical evidence for the blow-up of solution for the Euler equations. Our approximate solutions are Taylor polynomials in the time variable of an exact solution, and we believe that in terms of the exact solution, the blow-up will be rigorously proved.

Keywords

Euler equationsblow-up of solution.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 2 , March 2001 , pp. 229 - 238
Copyright
© EDP Sciences, SMAI, 2001

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