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...

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Hlavní autoři: Carrillo de la Plata, J, Filbet, F, Schmidtchen, M
Médium: Journal article
Jazyk:English
Vydáno: Springer Verlag 2020