Asymptotic behavior of solutions to dissipative Korteweg-de Vries equations

作者：Vento Stephane^*

来源：Asymptotic Analysis, 2010, 68(3): 155-186.

DOI：10.3233/ASY-2010-0988

• KdV-like equations
• dissipative dispersive equations
• large time behavior

We study the large time behavior of solutions to the dissipative Korteweg-de Vries equations u(t) + u(xxx) +vertical bar D vertical bar(alpha)u + uu(x) = 0 with 0 < alpha < 2. We find asymptotic expansions of the solution as t -> infinity in various Sobolev norms.

• 出版日期2010