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Seminar by Charlotte Perrin on aprile 10th at CNR-IAC. "Fluid systems under maximal density constraint"


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"