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math.AP2020
Existence and uniqueness of solution for semi linear conservation laws with velocity field in
S. Kane, S. F. Samb, D. Seck
In this paper we extend results obtained in [3] and [5]. By considering a semi linear conservation law with velocity in , we prove by fixed point arguments existence and…
math.AP2016
Homogenization and transport equations: the case of desert and sand piles
Mohamed Ould Badahi, Ibrahima Faye, Diaraf Seck
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, sing…
math.AP2011
Long term behaviour of singularly perturbed parabolic degenerated equation
Ibrahima Faye, Emmanuel Frenod, Diaraf Seck
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 o…