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An energetically consistent viscous sedimentation model

Abstract : In this paper we consider a two dimensional viscous sedimentation model which is a viscous Shallow-Water system coupled with a diffusive equation that describes the evolution of the bottom. For this model, we prove the stability of weak solutions for periodic domains and give some numerical experiments. We also discuss around various discharge quantity choices.
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https://hal.archives-ouvertes.fr/hal-00445677
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Submitted on : Monday, January 11, 2010 - 9:46:05 AM
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  • HAL Id : hal-00445677, version 1

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Jean de Dieu Zabsonré, Carine Lucas, Enrique D. Fernandez-Nieto. An energetically consistent viscous sedimentation model. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2009, 19 (3), pp.477-499. ⟨hal-00445677⟩

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