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
收藏
页码：661 / 682
页数：22
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