Asymptotic stability of solitary wave solutions to the regularized long-wave equation |
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Authors: | Tetsu Mizumachi |
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Affiliation: | Department of Mathematical Sciences, Yokohama City University, Seto 22-2, 236-0027, Japan |
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Abstract: | We study the asymptotic stability of solitary wave solutions to the regularized long-wave equation (RLW) in . 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). |
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Keywords: | Asymptotic stability RLW Solitary waves |
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