The next seminar “Modelling of materials – theory, model reduction and efficient numerical methods” will take place next Monday (January 7, 2019) in K3 from 9:00 till 10:30. The talk will be given by Charlotte Perrin. Please see the details below.
Speaker: Charlotte Perrin
Title: Macroscopic systems with maximum packing constraint
This talk addresses the mathematical analysis of fluid models including a maximum packing constraint. These equations arise naturally for instance in the modeling of mixtures like suspensions. I will present recent 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.