Sala Seminari (Dip. Matematica).<\/p>\n
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.<\/p>\n","protected":false},"excerpt":{"rendered":"
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…<\/p>\n