Orateur
Maja Szlenk
(Université Savoie Mont Blanc)
Description
We study the convergence of a power-law model for dilatant compressible fluids to a class of models exhibiting a maximum admissible shear rate, called thick fluids, which are used for example to model solid particles suspended in a fluid with a high particle-to-fluid volume fraction, and the phenomenon of jamming. Mathematically, these types of materials are modelled by taking the limit of a power-law system, when the power-law exponent goes to infinity. We characterize this limit in two particular cases - for the Stokes system in multiple dimensions, and for the full Navier-Stokes system in one dimension.