Blow-up behavior of solutions to a degenerate parabolic-parabolic Keller-Segel system
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Publication:514356
DOI10.1007/s00208-016-1400-7zbMath1378.35045OpenAlexW2304942292MaRDI QIDQ514356
Philippe Laurençot, Kazuhiro Ishige, Noriko Mizoguchi
Publication date: 1 March 2017
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-016-1400-7
Degenerate parabolic equations (35K65) 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)
Related Items
Exponential grow-up rates in a quasilinear Keller–Segel system ⋮ Weak stabilization in degenerate parabolic equations in divergence form: application to degenerate Keller-Segel systems ⋮ Repulsion effects on boundedness in the higher dimensional fully parabolic attraction-repulsion chemotaxis system ⋮ Finite time blow up and non-uniform bound for solutions to a degenerate drift-diffusion equation with the mass critical exponent under non-weight condition ⋮ Critical mass on the Keller-Segel system with signal-dependent motility ⋮ Blow-up for a three dimensional Keller-Segel model with consumption of chemoattractant ⋮ Repulsion effects on boundedness in a quasilinear attraction-repulsion chemotaxis model in higher dimensions ⋮ Properties of blow-up solutions and their initial data for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type ⋮ On the differential variational inequalities of parabolic-parabolic type ⋮ Facing low regularity in chemotaxis systems
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