Asymptotic behavior of solutions of the Cauchy problem for Burgers type equations

被引：13
|
作者：
Henkin, GM
Shananin, AA
机构：
[1] Univ Paris 06, F-75252 Paris, France
[2] Russian Acad Sci, CEMI, Moscow 117418, Russia
[3] Russian Acad Sci, Ctr Comp, Moscow 117967, Russia
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2004年 / 83卷 / 12期
关键词：
Burgers equation; intermediate asymptotics; training waves; nonlinear diffusions;
D O I：
10.1016/j.matpur.2004.09.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the solutions of the initial value problems for a large class of Burgers type equations approach with time to the sum of appropriately shifted wave-trains and of diffusion waves. (C) 2004 Elsevier SAS. All rights reserved.
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页码：1457 / 1500
页数：44
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