Seminar by Charlotte Perrin on aprile 10th at CNR-IAC. "Fluid systems under maximal density constraint"
2019-04-10
On Aprile 10, at 2 pm, there will be a seminar at IAC by Charlotte Perrin (CNRS, Marseille) on Fluid systems
April 10, 2019, 2 pm
Istituto per le Applicazioni del Calcolo , via dei Taurini 19, Roma
Aula 1° piano
Charlotte Perrin (CNRS, Marseille)
Fluid systems under maximal density constraint
Abstract: This talk addresses the mathematical analysis of fluid models including a maximal density constraint. These equations arise naturally for instance in the modeling of mixtures like suspensions. I will present recent theoretical existence results on two classes of PDEs systems which correspond to two modeling approaches: the "soft" approach based on compressible equations with singular constitutive laws (pressure and/or viscosities) close to the maximal constraint; and the "hard" approach based on a free boundary problem between a congested domain with incompressible dynamics and a free domain with compressible dynamics.
The seminar is partially funded by the Gnampa project 2019: "Partially dissipative hyperbolic systems"
