Convergence of a finite volume scheme for a system of interacting species with cross-diffusion

In this work we present the convergence of a positivity preserving semi-discrete finite volume scheme for a coupled system of two non-local partial differential equations with cross-diffusion. The key to proving the convergence result is to establish positivity in order to obtain a discrete energy e...

Full description

Bibliographic Details
Main Authors: Carrillo de la Plata, J, Filbet, F, Schmidtchen, M
Format: Journal article
Language:English
Published: Springer Verlag 2020