Asymptotic behavior of a solution of the Cauchy problem for the generalized damped multidimensional Boussinesq equation

被引：12

作者：

Polat, Necat ^{[1
]}

Piskin, Erhan ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 11期

关键词：

Asymptotic behavior; Boussinesq equations; Damping term;

D O I：

10.1016/j.aml.2012.02.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work studies the Cauchy problem for the generalized damped multidimensional Boussinesq equation. By using a multiplier method, it is proven that the global solution of the problem decays to zero exponentially as the time approaches infinity, under a very simple and mild assumption regarding the nonlinear term. (C) 2012 Elsevier Ltd. All rights reserved.

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页码：1871 / 1874

页数：4

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