Long term behaviour of singularly perturbed parabolic degenerated equation
Ibrahima Faye, Emmanuel Frénod, Diaraf Seck · Journal of Nonlinear Analysis and Application · 2016
In this paper we consider models for short-term, mean-term and long-term morphodynamics of dunes and megariples. We give an existence and uniqueness result for long term dynamics of dunes. This result is based on a time-space periodic solution existence result for degenerated parabolic equation that we set out. Finally the mean-term and long-term models are homogenized.