Date/heure
12 mars 2024
10:45 - 11:45
Lieu
Salle de conférences Nancy
Oratrice ou orateur
Noemi David (Université de Lyon)
Catégorie d'évènement Séminaire Équations aux Derivées Partielles et Applications (Nancy)
Résumé
The mathematical modelling of cancer has been increasingly applying fluid-dynamics concepts to describe the mechanical properties of tissue growth. The biomechanical pressure plays a central role in these models, both as the driving force of cell movement and as an inhibitor of cell proliferation. In this talk, I will present how it is possible to build a bridge between models that have different pressure-velocity or pressure-density relations. In particular, I will focus on the inviscid limit from a Brinkman model to a porous medium-type model, and the incompressible limit that links the latter to a Hele-Shaw free boundary problem with density constraint.