Asymptotic stability of solitary wave solutions to the regularized long-wave equation

被引：20
|
作者：
Mizumachi, T [1 ]
机构：
[1] Yokohama City Univ, Dept Math Sci, Yokohama, Kanagawa 2360027, Japan
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年 / 200卷 / 02期
关键词：
asymptotic stability; RLW; solitary waves;
D O I：
10.1016/j.jde.2004.01.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the asymptotic stability of solitary wave solutions to the regularized long-wave equation (RLW) in H-1 (R). RLW is an equation which describes the long waves in water. To prove the result, we make use of the monotonicity of the local H-1-norm and apply the Liouville property of (RLW) as in Merle and Martel (J. Math. Pures Appl. 79 (2000) 339; Arch. Rational Mech. Anal. 157 (2001) 219). (C) 2004 Elsevier Inc. All rights reserved.
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页码：312 / 341
页数：30
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