Local solvability and blowup of the solution of the Rosenau-Burgers equation with different boundary conditions

被引：3

作者：

Panin, A. A. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2013年 / 177卷 / 01期

关键词：

blowup regime; local solvability; noncontinuable solution; Rosenau-Burgers equation;

D O I：

10.1007/s11232-013-0109-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider several models of initial boundary-value problems for the Rosenau-Burgers equation with different boundary conditions. For each of the problems, we prove the unique local solvability in the classical sense, obtain a sufficient condition for the blowup regime, and estimate the time of the solution decay. The proof is based on the well-known test-function method.

引用

页码：1361 / 1376

页数：16

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