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An extended shallow water model with viscous layer
Francois James (MAPMO)
In the context of Shallow Water equations, we present here a two layers decomposition between an ideal fluid and a viscous layer in interaction. The viscous layer allows to take into account for the parietal constraints. The integrated model we obtain involves as expected a frictionlike term, but also an additional term in the momentum flux, of the same magnitude as the friction, which can be interpreted as a correction to the pressure. The model can be reinterpreted as a perfect fluid model, either with an apparent topography or a transpiration condition.

