Existence and regularity for a system of porous medium equations with small cross-diffusion and nonlocal drifts

We prove the existence and Sobolev regularity of solutions of a nonlinear system of degenerate-parabolic PDEs with self- and cross-diffusion, transport/confinement and nonlocal interaction terms. The macroscopic system of PDEs models the evolution of an arbitrary number of species with quadratic por...

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Detalhes bibliográficos
Main Authors: Alasio, L, Bruna, M, Fagioli, S, Schulz, S
Formato: Journal article
Idioma:English
Publicado em: Elsevier 2022