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Type: Artigo de periódico
Title: The regularized Benjamin-Ono and BBM equations: Well-posedness and nonlinear stability
Author: Angulo, J
Scialom, M
Banquet, C
Abstract: Nonlinear stability of nonlinear periodic solutions of the regularized Benjamin-Ono equation and the Benjamin-Bona-Mahony equation with respect to perturbations of the same wavelength is analytically studied. These perturbations are shown to be stable. We also develop a global well-posedness theory for the regularized Benjamin-Ono equation in the periodic and in the line setting. In particular, we show that the Cauchy problem (in both periodic and nonperiodic case) cannot be solved by an iteration scheme based on the Duhamel formula for negative Sobolev indices. (C) 2010 Elsevier Inc. All rights reserved.
Subject: Periodic traveling waves
Nonlinear stability
Regularized Benjamin-Ono equation
BBM equation
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/j.jde.2010.12.016
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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