New long time existence results for a class of Boussinesq-type systems

Orateur: Cosmin BURTEA
Type: Séminaire des doctorants
Site: UPEC
Salle: P2-131
Date de début: 21/10/2015 - 14:00
Date de fin: 21/10/2015 - 14:00

In this talk we deal with the long time existence for the Cauchy problem associated to some asymptotic models for long wave, small amplitude gravity surface 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.