Time asymptotic behavior of the solution to a quasilinear parabolic equation

被引：0

作者：

Gasnikov A.V. ^{[1
]}

机构：

[1] Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow, 119991

来源：

Computational Mathematics and Mathematical Physics | 2006年 / 46卷 / 12期

基金：

俄罗斯基础研究基金会;

关键词：

Henkin-Polterovich model with decreasing capacities; Quasilinear parabolic equation; Traveling wave; Wave solution;

D O I：

10.1134/S0965542506120128

中图分类号：

学科分类号：

摘要：

The time asymptotic behavior of the solution to the Cauchy problem for a quasilinear parabolic equation is analyzed. Such problems are encountered, for example, in gas dynamics and transport flow simulation. A.M. Il'in and O.A. Oleinik's well-known results are extended to a wider class of equations in which the time derivative of the unknown function is multiplied by a fixed-sign function of the former. The results have found applications in mathematical economics. © Nauka/Interperiodica 2006.

引用

页码：2136 / 2153

页数：17

共 18 条

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