[Asymptotiques de la vitesse minimale KPP dans le cas d'une grande advection]
Dans cette Note on étudie le comportement asymptotique de la vitesse minimale de propagation des fronts progressifs pulsatoires satisfaisant une équation de réaction–advection–diffusion dans le cas d'une grande advection Mq (où q est l'advection). On donne la valeur limite de la vitesse lorsque dans un espace de dimension N quelconque. Pour le cas on donne une condition nécessaire et suffisante pour que la vitesse se comporte comme pour .
This Note is concerned with the asymptotic behavior of the minimal KPP speed of propagation for reaction–advection–diffusion equations with a large drift Mq (where q is the advection). We first give the limit of the speed as in any space dimension N. Then, we give the necessary and sufficient condition that the advection field should satisfy so that the speed acts as as .
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@article{CRMATH_2010__348_15-16_857_0,
author = {El Smaily, Mohammad and Kirsch, St\'ephane},
title = {Asymptotics of the {KPP} minimal speed within large drift},
journal = {Comptes Rendus. Math\'ematique},
pages = {857--861},
publisher = {Elsevier},
volume = {348},
number = {15-16},
year = {2010},
doi = {10.1016/j.crma.2010.07.007},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2010.07.007/}
}
TY - JOUR AU - El Smaily, Mohammad AU - Kirsch, Stéphane TI - Asymptotics of the KPP minimal speed within large drift JO - Comptes Rendus. Mathématique PY - 2010 SP - 857 EP - 861 VL - 348 IS - 15-16 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2010.07.007/ DO - 10.1016/j.crma.2010.07.007 LA - en ID - CRMATH_2010__348_15-16_857_0 ER -
%0 Journal Article %A El Smaily, Mohammad %A Kirsch, Stéphane %T Asymptotics of the KPP minimal speed within large drift %J Comptes Rendus. Mathématique %D 2010 %P 857-861 %V 348 %N 15-16 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2010.07.007/ %R 10.1016/j.crma.2010.07.007 %G en %F CRMATH_2010__348_15-16_857_0
El Smaily, Mohammad; Kirsch, Stéphane. Asymptotics of the KPP minimal speed within large drift. Comptes Rendus. Mathématique, Tome 348 (2010) no. 15-16, pp. 857-861. doi : 10.1016/j.crma.2010.07.007. http://www.numdam.org/articles/10.1016/j.crma.2010.07.007/
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