A sufficient condition for type I blowup in a parabolic-elliptic system

DOI10.1016/j.jde.2010.10.016zbMath1218.35049OpenAlexW2006755174MaRDI QIDQ616468

Noriko Mizoguchi, Takasi Senba

Publication date: 10 January 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.10.016

zbMATH Keywords

Cauchy problem

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (6)

Blowing up radial solutions in the minimal Keller-Segel model of chemotaxis ⋮ Collapsing-ring blowup solutions for the Keller-Segel system in three dimensions and higher ⋮ Finite-time blowup in a supercritical quasilinear parabolic-parabolic Keller-Segel system in dimension 2 ⋮ Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions ${n\geq 3}$ ⋮ Mathematical challenges in the theory of chemotaxis ⋮ Global radial solutions in classical Keller-Segel model of chemotaxis

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