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.

引用

页码：1457 / 1500

页数：44

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