English

Long term behaviour of singularly perturbed parabolic degenerated equation

Analysis of PDEs 2011-05-16 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1105.2641,
  title  = {Long term behaviour of singularly perturbed parabolic degenerated equation},
  author = {Ibrahima Faye and Emmanuel Frenod and Diaraf Seck},
  journal= {arXiv preprint arXiv:1105.2641},
  year   = {2011}
}