%0 Journal Article
%T Asymptotic behavior for dissipative Korteweg-de Vrie equations
%A St¨¦phane Vento
%J Mathematics
%D 2008
%I arXiv
%X We study the large time behavior of solutions to the dissipative Korteweg-de Vrie equations $u_t+u_{xxx}+|D|^{\alpha}u+uu_x=0$ with $0<\alpha<2$. We find $v$ such that $u-v$ decays like $t^{-r(\alpha)}$ as $t\to\infty$ in various Sobolev norm.
%U http://arxiv.org/abs/0801.4698v1