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.
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页码：1361 / 1376
页数：16
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