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AN ENERGETICALLY CONSISTENT VISCOUS SEDIMENTATION MODEL

JEAN DE DIEU ZABSONRÉ, CARINE LUCAS, ENRIQUE FERNÁNDEZ-NIETO

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Source: Crossref

Published: Mar 1, 2009

DOI: 10.1142/s0218202509003504

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Source 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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