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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…