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math.AP2021
Effect of a membrane on diffusion-driven Turing instability
Giorgia Ciavolella
Biological, physical, medical, and numerical applications involving membrane problems on different scales are numerous. We propose an extension of the standard Turing theory to the…
math.AP2021★ 6 cited
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'…
math.AP2020★ 19 cited
Existence of a global weak solution for a reaction-diffusion problem with membrane conditions
Giorgia Ciavolella, Benoît Perthame
Several problems, issued from physics, biology or the medical science, lead to parabolic equations set in two sub-domains separated by a membrane with selective permeability to spe…