| Issue |
ESAIM: M2AN
Volume 35, Number 2, March/April 2001
|
|
|---|---|---|
| Page(s) | 229 - 238 | |
| DOI | https://doi.org/10.1051/m2an:2001113 | |
| Published online | 15 April 2002 | |
On blow-up of solution for Euler equations
Department of Mathematics, Northern Illinois University, DeKalb, IL 60115, USA.
Received:
30
August
1999
Revised:
6
November
2000
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.
Résumé
Nous présentons une solution numérique des équations d'Euler montrant la solution non-bornée : l'approximation de la solution est donnée par une série de Taylor dans la variable de temps de la solution exacte, et il est probable que cet exemple fournira le résultat.
Mathematics Subject Classification: 35Q05
Key words: Euler equations / blow-up of solution.
© EDP Sciences, SMAI, 2001
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