科研之友
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摘要
We consider a coupled system of Kuramoto-Sivashinsky equations depending on a suitable parameter v > 0 and study its asymptotic behavior for t large, as v -> 0. Introducing appropriate boundary conditions we show that the energy of the solutions decays exponentially uniformly with respect to the parameter v. In the limit, as v -> 0, we obtain a coupled system of Korteweg-de Vries equations known to describe strong interactions of two long internal gravity waves in a stratified fluid for which the energy tends to zero exponentially as well. The decay fails when the length of the space interval L lies in a set of critical lengths.
- 出版日期2009-2
