6 citations · 6 across the 3 of their papers we have counts for
4 papers
New Lipschitz estimates and long-time asymptotic behavior for porous medium and fast diffusion equations
Noemi David, Filippo Santambrogio
We obtain new estimates for the solution of both the porous medium and the fast diffusion equations by studying the evolution of suitable Lipschitz norms. Our results include insta…
A Degenerate Cross-Diffusion System as the Inviscid Limit of a Nonlocal Tissue Growth Model
Noemi David, Tomasz Dębiec, Mainak Mandal +1
In recent years, there has been a spike in the interest in multi-phase tissue growth models. Depending on the type of tissue, the velocity is linked to the pressure through Stoke's…
Phenotypic heterogeneity in a model of tumor growth: existence of solutions and incompressible limit
Noemi David
We consider a (degenerate) cross-diffusion model of tumor growth structured by phenotypic trait. We prove the existence of weak solutions and the incompressible limit as the pressu…
Effective interface conditions for a porous medium type problem
Giorgia Ciavolella, Noemi David, Alexandre Poulain
Motivated by biological applications on tumour invasion through thin membranes, we study a porous-medium type equation where the density of the cell population evolves under Darcy'…