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On the incompressible limit for tumour growth models including convective effects

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

Both compressible and incompressible porous medium models are used in the literature to describe the mechanical properties of living tissues. These two classes of models can be related using a stiff pressure law. In the incompressible (or stiff) limit, compressible models generate free-boundary problems of Hele-Shaw type. In this talk, I will present the stiff limit of a model including the advective effects caused, for instance, by the presence of nutrients or attractive chemicals. The convergence rate is then computed in a negative Sobolev norm.

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

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Webinar & FW11, Computer Laboratory, William Gates Building. Rooms SG1 & SG2, Alison Richard Building, 7 West Road, Cambridge, CB3 9DT Webinar & FW11, Computer Laboratory, William Gates Building.

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