Suppression of blow up by a logistic source in 2D Keller-Segel system with fractional dissipation

DOI10.1016/j.jde.2017.07.007zbMath1401.35312arXiv1609.03935OpenAlexW2519863185MaRDI QIDQ1785953

Rafael Granero-Belinchón, Jan Burczak

Publication date: 2 October 2018

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

Full work available at URL: https://arxiv.org/abs/1609.03935

zbMATH Keywords

logistic sourceKeller-Segel systemfractional dissipationnonlocal maximum principleactive scalar equationsglobal-in-time smoothness

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Initial value problems for PDEs with pseudodifferential operators (35S10) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

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