Singularly perturbed degenerated parabolic equations and application to seabed morphodynamics in tided environment

Details Singularly perturbed degenerated parabolic equations and application to seabed morphodynamics in tided environment Singularly perturbed degenerated parabolic equations and application to seabed morphodynamics in tided environment

2009-11-20

arxiv.org/abs/0911.4041v3

Discrete and Continuous Dynamical Systems: Series A 29, 3 (2001) 1001-1030

Mathematics

Analysis of PDEs

Scientific paper

In this paper we build models for short-term, mean-term and long-term dynamics of dune and megariple morphodynamics. They are models that are degenerated parabolic equations which are, moreover, singularly perturbed. We, then give an existence and uniqueness result for the short-term and mean-term models. 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.

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