Orateur
Charlotte Perrin
(Université de Savoie, France)
Description
I will present a work dedicated to the singular limit passage
between a model for suspension flows and an original incompressible
model for granular media. The model for suspension flows consists of
compressible Navier-Stokes equations with pressure, representing
repulsion forces, and viscosities, representing resistance to
deformations, singular close to the maximal close-packing volume
fraction. Performing an appropriate limit passage, this model is shown
to converge towards a fully incompressible system with pressure
dependent viscosity and with an additional equation linking the Lagrange
multiplier associated to the incompressible constraint with the
evolution of new quantity, the adhesion potential, which keeps track of
the history of the flow.
