Reflection on internal waves by sand ripples.
Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
Remarks on the equatorial shallow water system
This article recalls the results given by A. Dutrifoy, A. Majda and S. Schochet in [1] in which they prove an uniform estimate of the system as well as the convergence to a global solution of the long wave equations as the Froud number tends to zero. Then, we will prove the convergence with weaker hypothesis and show that the life span of the solutions tends to infinity as the Froud number tends to zero.
Résolution des équations de shallow water par la méthode de Galerkin non linéaire