[Comportement asymptotique des solutions d'équations d'évolution stochastiques des fluides de grade deux]
Dans cette Note nous montrons que, sous des hypothèses appropriées sur les données, on peut construire une suite de solutions fortes des équations stochastiques pour les fluides de grade deux qui convergent vers les solutions fortes probabilistes des équations stochastiques de Navier–Stokes quand le module de contrainte α tend vers zéro.
In this Note we show that under suitable conditions on the data we can construct a sequence of solutions of the stochastic second grade fluid that converges to the probabilistic strong solution of the stochastic Navier–Stokes equations when the stress modulus α tends to zero.
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@article{CRMATH_2010__348_13-14_787_0,
author = {Razafimandimby, Paul Andr\'e and Sango, Mamadou},
title = {Asymptotic behavior of solutions of stochastic evolution equations for second grade fluids},
journal = {Comptes Rendus. Math\'ematique},
pages = {787--790},
publisher = {Elsevier},
volume = {348},
number = {13-14},
year = {2010},
doi = {10.1016/j.crma.2010.05.001},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2010.05.001/}
}
TY - JOUR AU - Razafimandimby, Paul André AU - Sango, Mamadou TI - Asymptotic behavior of solutions of stochastic evolution equations for second grade fluids JO - Comptes Rendus. Mathématique PY - 2010 SP - 787 EP - 790 VL - 348 IS - 13-14 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2010.05.001/ DO - 10.1016/j.crma.2010.05.001 LA - en ID - CRMATH_2010__348_13-14_787_0 ER -
%0 Journal Article %A Razafimandimby, Paul André %A Sango, Mamadou %T Asymptotic behavior of solutions of stochastic evolution equations for second grade fluids %J Comptes Rendus. Mathématique %D 2010 %P 787-790 %V 348 %N 13-14 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2010.05.001/ %R 10.1016/j.crma.2010.05.001 %G en %F CRMATH_2010__348_13-14_787_0
Razafimandimby, Paul André; Sango, Mamadou. Asymptotic behavior of solutions of stochastic evolution equations for second grade fluids. Comptes Rendus. Mathématique, Tome 348 (2010) no. 13-14, pp. 787-790. doi : 10.1016/j.crma.2010.05.001. http://www.numdam.org/articles/10.1016/j.crma.2010.05.001/
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