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math.AP2024
Long time existence for a class of weakly transverse Boussinesq systems
Qi Li, Jean-Claude Saut, Li Xu
We prove the existence on long time scales of the solutions to the Cauchy problem for a version of weakly transverse Boussinesq systems arising in the modeling of surface water wav…
math.AP2024
On the Kaup-Broer-Kupershmidt systems
C. Klein, J. -C. Saut
The aim of this paper is to survey and complete, mostly by numerical simulations, results on a remarkable Boussinesq system describing weakly nonlinear, long surface water waves. I…