Existence and asymptotic behaviour for the time‐fractional Keller–Segel model for chemotaxis

DOI10.1002/mana.201700237zbMath1419.35200OpenAlexW2898301637WikidataQ129047746 ScholiaQ129047746MaRDI QIDQ5377203

Erwin Henriquez, Joelma Azevedo, Claudio Cuevas

Publication date: 23 May 2019

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201700237

zbMATH Keywords

fractional derivativeKeller-Segel modelspaceschemotaxis aggregationBesov-Morrey

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Fractional partial differential equations (35R11)

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