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Article
An energetically consistent viscous sedimentation model
(World Scientific Publishing, 2009)
In this paper we consider a two dimensional viscous sedimentation model which is a viscous Shallow-Water system coupled with a di usive equation that describes the evolution of the bottom. For this model, we prove the ...
Article
Existence of a global weak solution for a 2d viscous bi-layer Shallow Water model
(Elsevier Science, 2009)
We consider a non-linear viscous bi-layer shallow water model with capillarity effects and extra friction terms in a two-dimensional space. This system is issued from a derivation of three-dimensional Navier–Stokes equations ...