GTEDPCS20240123

On singular limits arising in mechanical models of tumour growth

Tuesday 23 January 2024, 11:30 à 12:30

Salle de séminaire du LMRS

Noemi David

(Institut Camille Jordan, Univ. Lyon 1)

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.