Lunes 04 de Diciembre 2023 a las 12:00 hrs. Sala de seminarios piso 5, Beauchef 851.

Speaker: Noemi David (UCBL, Francia)

Title: Singular limits arising in mechanical models of tumor growth

Abstract: The mathematical modelling of cancer has been increasingly applying fluid-dynamics concepts to describe the mechanical properties of tissue growth. The bio-mechanical 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 visco-elastic model to a Darcy’s law-based model, and the incompressible limit that links the latter to a Hele-Shaw free boundary problem with density constraint.

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