A KdV-type Boussinesq system: From the energy level to analytic spaces

Abstract

Considered here is the well-posedness of a KdV-type Boussinesqsystem modeling two-way propagation of small-amplitude long waves onthe surface of an ideal fluid when the motion is sensibly twodimensional. Solutions are obtained in a range of Sobolev-type spaces,from the energy level to the analytic Gevrey spaces. In addition, acriterion for detecting the possibility of blow-up in finite time interms of loss of analyticity is derived.

Locations

• Discrete and Continuous Dynamical Systems - View - PDF