ON THE STABILIZATION OF THE LINEAR KAWAHARA EQUATION WITH PERIODIC BOUNDARY CONDITIONS

被引：0

作者：

Da Silva, Patricia N. ^{[1
]}

Vasconcellos, Carlos F. ^{[1
]}

机构：

[1] Inst Matemat & Estat IME UERJ, BR-20550013 Rio De Janeiro, RJ, Brazil

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2015年 / 7卷 / 02期

关键词：

exponential decay; periodic boundary; Kawahara equation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the stabilization of global solutions of the linear Kawahara equation (K) with periodic boundary conditions under the effect of a localized damping mechanism. The Kawahara equation is a model for small amplitude long waves. Using separation of variables, the Ingham inequality, multiplier techniques and compactness arguments we prove the exponential decay of the solutions of the (K) model.

引用

页码：96 / 103

页数：8

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