New long time existence results for a class of Boussinesq-type systems
نویسنده
چکیده
In this paper we deal with the long time existence for the Cauchy problem associated to some asymptotic models for long wave, small amplitude gravity surface water waves. We generalize some of the results that can be found in the literature devoted to the study of Boussinesq systems by implementing an energy method on spectrally localized equations. In particular, we obtain better results in terms of the regularity level required to solve the initial value problem on large time scales and we do not make use of the positive depth assumption.
منابع مشابه
Long time existence results for bore-type initial data for BBM-Boussinesq systems
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