Asymptotics of a solution to the heat equation with a singularity at the boundary

被引：0

作者：

Pershin, I. V. ^{[1
]}

机构：

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

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2012年 / 18卷 / 01期

关键词：

boundary value problems for partial differential equations; asymptotics of a solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The third boundary value problem for a second-order parabolic equation in a half-space with singularity is considered. The singularity consists in the presence of a moving band heat source with delta-like source intensity function at the boundary of the domain. An exact analytic solution of the problem is found, and the behavior of this solution in a neighborhood of the singularity is investigated.

引用

页码：268 / 272

页数：5

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