A note on the subcritical two dimensional Keller-Segel system

DOI10.1007/s10440-011-9660-4zbMath1258.35024OpenAlexW2088994357MaRDI QIDQ1926066

Li Chen, Jinhuan Wang, Jian-Guo Liu, José Antonio Carrillo

Publication date: 27 December 2012

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-011-9660-4

zbMATH Keywords

initial value problemglobal existenceelliptic-parabolic systemcritical massmaximal density function

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Cell movement (chemotaxis, etc.) (92C17)

Related Items (5)

Global well-posedness and blow-up for the 2-D Patlak-Keller-Segel equation ⋮ Suppressing chemotactic blow-up through a fast splitting scenario on the plane ⋮ Parabolic elliptic type Keller-Segel system on the whole space case ⋮ Boundary layer analysis from the Keller-Segel system to the aggregation system in one space dimension ⋮ Asymptotic Estimates for the Parabolic-Elliptic Keller-Segel Model in the Plane

Cites Work

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• Hardy-Littlewood-Sobolev inequalities via fast diffusion flows

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