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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 theEuler equations. Our approximate solutions are Taylor polynomials in the timevariable 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.

Information

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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