Long term behaviour of singularly perturbed parabolic degenerated equation

Details Long term behaviour of singularly perturbed parabolic degenerated equation Long term behaviour of singularly perturbed parabolic degenerated equation

2011-05-13

arxiv.org/abs/1105.2641v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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