Blowup in infinite time of radial solutions for a parabolic-elliptic system in high-dimensional Euclidean spaces

DOI10.1016/j.na.2008.03.041zbMath1172.35003OpenAlexW1983298524MaRDI QIDQ1006690

Takasi Senba

Publication date: 25 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.03.041

zbMATH Keywords

Keller-Segel systemgrowupSmoluchowski-Poisson systemtemporal growth estimatesunbounded global solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Cell movement (chemotaxis, etc.) (92C17)

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