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.
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.
Mots-clés : Euler equations, blow-up of solution
@article{M2AN_2001__35_2_229_0,
author = {Behr, Eric and Ne\v{c}as, Jind\v{r}ich and Wu, Hongyou},
title = {On blow-up of solution for {Euler} equations},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {229--238},
publisher = {EDP-Sciences},
volume = {35},
number = {2},
year = {2001},
mrnumber = {1825697},
zbl = {0985.35057},
language = {en},
url = {http://archive.numdam.org/item/M2AN_2001__35_2_229_0/}
}
TY - JOUR AU - Behr, Eric AU - Nečas, Jindřich AU - Wu, Hongyou TI - On blow-up of solution for Euler equations JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2001 SP - 229 EP - 238 VL - 35 IS - 2 PB - EDP-Sciences UR - http://archive.numdam.org/item/M2AN_2001__35_2_229_0/ LA - en ID - M2AN_2001__35_2_229_0 ER -
%0 Journal Article %A Behr, Eric %A Nečas, Jindřich %A Wu, Hongyou %T On blow-up of solution for Euler equations %J ESAIM: Modélisation mathématique et analyse numérique %D 2001 %P 229-238 %V 35 %N 2 %I EDP-Sciences %U http://archive.numdam.org/item/M2AN_2001__35_2_229_0/ %G en %F M2AN_2001__35_2_229_0
Behr, Eric; Nečas, Jindřich; Wu, Hongyou. On blow-up of solution for Euler equations. ESAIM: Modélisation mathématique et analyse numérique, Tome 35 (2001) no. 2, pp. 229-238. http://archive.numdam.org/item/M2AN_2001__35_2_229_0/
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