Two-parameter asymptotics in the Cauchy problem for a quasi-linear parabolic equation

被引：2

作者：

Zakharov, Sergei V. ^{[1
]}

机构：

[1] Russian Acad Sci, Ural Branch, Inst Math & Mech, Ekaterinburg, Russia

来源：

ASYMPTOTIC ANALYSIS | 2009年 / 63卷 / 1-2期

基金：

俄罗斯基础研究基金会;

关键词：

Cauchy problem; two-parameter asymptotics;

D O I：

10.3233/ASY-2008-0927

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Cauchy problem for a quasi-linear parabolic equation with a small parameter e at the higher derivative is considered. The derivative of the initial function is of order O(1/rho), where rho is another small parameter. We study the asymptotics of the solution of the problem in parameters epsilon and rho tending to zero.

引用

页码：49 / 54

页数：6