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

DOI10.1016/j.na.2022.113064OpenAlexW3166293388MaRDI QIDQ2157312

Luca Alasio, Maria Bruna, Simon Schulz, Simone Fagioli

Publication date: 27 July 2022

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.14037

zbMATH Keywords

Schauder fixed-point theoremperturbation theoryFisher informationdegenerate cross-diffusionvanishing diffusivity

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Weak solutions to PDEs (35D30) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (2)

Multispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusion ⋮ A Degenerate Cross-Diffusion System as the Inviscid Limit of a Nonlocal Tissue Growth Model

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