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Asymptotic Analysis

Impact Factor: 0.9 / 5-Year Impact Factor: 0.9

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Research article

First published online 2010-6

Asymptotic behavior of solutions to dissipative Korteweg–de Vries equations

Volume 68, Issue 3

https://doi.org/10.3233/ASY-2010-0988

Abstract

We study the large time behavior of solutions to the dissipative Korteweg–de Vries equations u_t+u_xxx+|D|^αu+uu_x=0 with 0<α<2. We find asymptotic expansions of the solution as t→∞ in various Sobolev norms.

Keywords

KdV-like equations dissipative dispersive equations large time behavior

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