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Asymptotic behavior of solutions to dissipative Korteweg–de Vries equations
Stéphane Vento (Paris-Est Sup, Laboratoire d’Analyse et de Mathématiques Appliquées)
Asymptotic Analysis
DOI: 10.3233/asy-2010-0988 (Mathematics)
License: not stated (all rights reserved)
Abstract: We study the large time behavior of solutions to the dissipative Korteweg–de Vries equations u t +u xxx +|D| α u+uu x =0 with 0<α<2. We find asymptotic expansions of the solution as t→∞ in various Sobolev norms.
Published on 01 Jun. 2010