Blow-up of solutions for the damped Boussinesq equation

被引：13

作者：

Polat, N

Kaya, D ^{[1
]}

Tutalar, HI

机构：

[1] Dicle Univ, Dept Math, TR-21280 Diyarbakir, Turkey

[2] Firat Univ, Dept Math, TR-23119 Elazig, Turkey

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2005年 / 60卷 / 07期

关键词：

damped Boussinesq equation; blow-up of solutions; initial boundary value problems; Sobolev-Poincare inequality; Holder inequality;

D O I：

10.1515/zna-2005-0701

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

We consider the blow-up of solutions as a function of time to the initial boundary value problem for the damped Boussinesq equation. Under some assumptions we prove that the solutions with vanishing initial energy blow up in finite time.

引用

页码：473 / 476

页数：4

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