Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision

DOI10.1142/S0218202522500166zbMath1497.35039MaRDI QIDQ5083464

Nisrine Outada, Juan Soler, Youshan Tao, Michael Winkler, Nicola Bellomo

Publication date: 20 June 2022

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

pattern formationwell-posednessblow-upKeller-Segelmultiscale problemscomplex interactionscross diffusionmicro-macro derivation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) Models of societies, social and urban evolution (91D10) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)

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