Asymptotic stability of solitary wave solutions to the regularized long-wave equation
Asymptotic stability of solitary wave solutions to the regularized long-wave equation
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DOI：
10.1016/j.jde.2004.01.006
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发表时间：
2004-06
影响因子：
2.4
通讯作者：
Tetsu Mizumachi
中科院分区：
文献类型：
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作者：
Tetsu Mizumachi
研究了H1（R）中正则化长波方程（RLW）孤立波解的渐近稳定性。RLW是描述水中长波的方程。为了证明该结果，我们利用局部H1-范数的单调性并应用（RLW）的Liouville性质，如Merle和Martel（J. Math. Pures Appl.79（2000）339; Arch. Rational Mech. Anal. 157（2001）219）。
We study the asymptotic stability of solitary wave solutions to the regularized long-wave equation (RLW) in H1( 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 H1-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).