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

2016/03/29 by Mohamed Ould Badahi, Badahi, Mohamed Ould, Ibrahima Faye +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1603.08780

openalex publication_date 2016/03/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

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