Cross Diffusion Preventing Blow-Up in the Two-Dimensional Keller–Segel Model

DOI10.1137/100813191zbMath1259.35114OpenAlexW1979571072MaRDI QIDQ3174633

Publication date: 11 October 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100813191

zbMATH Keywords

global existence parabolic-parabolic model finite-element simulations long-time decay parabolic-elliptic model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for second-order parabolic systems (35K51)

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Uses Software

Chemotaxis