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A Hele-Shaw tumor growth model as a gradient flow


In 2014 Perthame, Quiroz and Vasquez unite two types of modeling of tumor growth into a unique framework of reaction-diffusion type where the diffusive term is $\Delta p(\rho)$ and $p(\rho)=\rho^m$. The stiff limit $m \to \infty$ is in particular a Hele-Shaw type problem: we find a gradient flow formulation of this problem, namely it is the gradient flow of the negative mass with respect to the Wasserstein-Fisher-Rao distance, discovered simultaneously by many authors in the last years. This leads also to accurate numerical simulations of the stiff limit case
http://cvgmt.sns.it/seminar/601/
When
Wed Nov 8, 2017 4pm – 5pm Coordinated Universal Time
Where
Sala Seminari Dipartimento di matematica di Pisa (map)