Sharp conditions for blowup of solutions of a chemotactical model for two species in \(\mathbb R^2\)

DOI10.1016/J.JMAA.2012.08.001zbMath1256.35178OpenAlexW2076383298MaRDI QIDQ1759909

Flávio Dickstein

Publication date: 22 November 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.08.001

zbMATH Keywords

radial solutionsCauchy problemchemotaxisKeller-Segeltwo-species modelblowup sharp criteria

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06)

Related Items (2)

GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF PERIODIC SOLUTIONS TO A FRACTIONAL CHEMOTAXIS SYSTEM ON THE WEAKLY COMPETITIVE CASE ⋮ Existence of global solution to a two-species Keller–Segel chemotaxis model

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