3 papers
math.AP2020
Long time existence for a two-dimensional strongly dispersive Boussinesq system
Jean-Claude Saut, Li Xu
We prove a long time existence result for the solutions of a two-dimensional Boussinesq system modeling the propagation of long, weakly nonlinear water waves. This system is except…
math.AP2019
Long time existence for a strongly dispersive Boussinesq system
Jean-Claude Saut, Li Xu
This paper is concerned with the one-dimensional version of a specific member of the (abcd) family of Boussinesq systems having the higher possible dispersion. We will establish tw…
math.AP2019
Long time existence for the Boussinesq -- Full Dispersion systems
Jean-Claude Saut, Li Xu
We establish the long time existence of solutions for the "Boussinesq-Full Dispersion" systems modeling the propagation of internal waves in a two-layer system. For the two-dimensi…