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...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoirí: Alasio, L, Bruna, M, Fagioli, S, Schulz, S
Formáid: Journal article
Teanga:English
Foilsithe / Cruthaithe: Elsevier 2022