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arXiv · 0801.4698

Asymptotic behavior for dissipative Korteweg-de Vrie equations

Stéphane Vento
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Abstract

We study the large time behavior of solutions to the dissipative Korteweg-de Vrie equations $u_t+u_{xxx}+|D|^αu+uu_x=0$ with $0<α<2$. We find $v$ such that $u-v$ decays like $t^{-r(α)}$ as $t\to\infty$ in various Sobolev norm.

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Stéphane Vento. 2008-01-30. Asymptotic behavior for dissipative Korteweg-de Vrie equations. https://arxiv.org/abs/0801.4698

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