A sufficient condition for type I blowup in a parabolic-elliptic system
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Publication:616468
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
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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