Singularly perturbed degenerated parabolic equations andapplication to seabed morphodynamics in tided environment
Ibrahima Faye, E. Frénod, Diaraf Seck · Discrete and Continuous Dynamical Systems · 2010
In this paper we build models for short-term, mean-termand long-term dynamics of dune and megariple morphodynamics. They are models that aredegenerated parabolic equations which are, moreover, singularly perturbed. We, then give anexistence and uniqueness result for the short-term and mean-termmodels. This result is based on a time-space periodic solution existence result for degenerated parabolic equation that we set out. Finally the short-term model is homogenized.