Homogenization and transport equations: the case of desert and sand piles

Mohamed Ould Badahi, Ibrahima Faye, Diaraf Seck

Published 2016-03-29Version 1

In this paper we build models for short-term, mean-term and long-term dynamics of dune in desert. They are models that are degenerated parabolic equations which are, moreover, singularly perturbed. We, then give existence and uniqueness results for the models, followed by homogenization ones and a corrector result is given.