A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system
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Publication:2136294
DOI10.1016/j.matpur.2022.04.004zbMath1494.35047arXiv2101.06748OpenAlexW3122491805MaRDI QIDQ2136294
Michael Winkler, Jan Fuhrmann, Johannes Lankeit
Publication date: 10 May 2022
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.06748
Biomechanics (92C10) Biomechanical solid mechanics (74L15) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
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Corners and collapse: some simple observations concerning critical masses and boundary blow-up in the fully parabolic Keller-Segel system, Critical mass for Keller–Segel systems with supercritical nonlinear sensitivity, Finite time blow-up in a parabolic-elliptic Keller-Segel system with flux dependent chemotactic coefficient, A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system
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