Homogenization of a singularly perturbed degenerated parabolic equation and application to seabed dune and megaripple morphodynamics in tided environment - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2009

Homogenization of a singularly perturbed degenerated parabolic equation and application to seabed dune and megaripple morphodynamics in tided environment

Résumé

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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Dates et versions

hal-00433133 , version 1 (20-11-2009)
hal-00433133 , version 2 (26-02-2010)
hal-00433133 , version 3 (12-05-2010)

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Ibrahima Faye, Emmanuel Frenod, Diaraf Seck. Homogenization of a singularly perturbed degenerated parabolic equation and application to seabed dune and megaripple morphodynamics in tided environment. 2009. ⟨hal-00433133v1⟩
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