Blow-up of solution for a generalized Boussinesq equation

被引：6
|
作者：
Wang Yan-ping [1 ]
Guo Bo-ling
机构：
[1] Zhengzhou Inst Aeronaut Ind Management, Dept Math & Phys, Zhengzhou 450015, Peoples R China
[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2007年 / 28卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Boussinesq equation; initial boundary value problem; local solution; blow-up of the solution;
D O I：
10.1007/s10483-007-1103-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the initial boundary value problem for a generalized Boussinesq equation and proves the existence and uniqueness of the local generalized solution of the problem by using the Galerkin method., Moreover, it gives the sufficient conditions of blow-up of the solution in finite time by using the concavity method.
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页码：1437 / 1443
页数：7
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