STABILIZATION OF REGULAR SOLUTIONS FOR THE ZAKHAROV-KUZNETSOV EQUATION POSED ON BOUNDED RECTANGLES AND ON A STRIP

被引：16

作者：

Doronin, G. G. ^{[1
]}

Larkin, N. A. ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2015年 / 58卷 / 03期

关键词：

ZK equation; stabilization; exponential decay; critical domains; KORTEWEG-DE-VRIES; GLOBAL WELL-POSEDNESS; CAUCHY-PROBLEM; KDV;

D O I：

10.1017/S0013091514000248

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Initial-boundary-value problems for the two-dimensional Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip are considered. Spectral properties of a linearized operator and critical sizes of domains are studied. An exponential decay rate of regular solutions for the original nonlinear problems is proved.

引用

页码：661 / 682

页数：22

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