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Free boundary limit and rate of convergence for tumour growth models with a drift

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FKT - Frontiers in kinetic theory: connecting microscopic to macroscopic scales - KineCon 2022

Porous medium models are widely used in the literature to describe the mechanical properties of living tissues, both using PDE (compressible) models and geometric problems. These two classes can be related using a stiff pressure law. In the incompressible (or stiff) limit, the compressible model generates a free boundary problem of Hele-Shaw type. In this talk, I will present the stiff limit of a model including convective effects, and show that the convergence rate can be computed in a negative Sobolev norm.

This talk is part of the Isaac Newton Institute Seminar Series series.

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