Degenerate Cahn-Hilliard and incompressible limit of a Keller-Segel model

DOI10.4310/CMS.2022.v20.n7.a5MaRDI QIDQ2103073

Alexandre Poulain, Charles Elbar, Perthame, Benoît

Publication date: 13 December 2022

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.10394

zbMATH Keywords

surface tensionasymptotic analysisKeller-Segel systemincompressible limitdegenerate Cahn-Hilliard equationHele-Shaw equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59)

Related Items (3)

Degenerate Cahn-Hilliard equation: from nonlocal to local ⋮ From Vlasov equation to degenerate nonlocal Cahn-Hilliard equation ⋮ Density-constrained Chemotaxis and Hele-Shaw flow

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