Decay estimates for the classical solution of Keller–Segel system with fractional Laplacian in higher dimensions

DOI10.1080/00036811.2018.1501030zbMath1435.35071OpenAlexW2883679509MaRDI QIDQ5210856

Shanshan Zhu, Zu Han Liu, Ling Zhou

Publication date: 22 January 2020

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2018.1501030

zbMATH Keywords

elliptic-parabolic systemglobal-in-time solutionstime decaytwo species subject to Lévy diffusion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (8)

Large time behavior in a fractional chemotaxis-Navier-Stokes system with competitive kinetics ⋮ Existence and asymptotic stability in a fractional chemotaxis system with competitive kinetics ⋮ Persistence phenomena of classical solutions to a fractional Keller–Segel model with time‐space dependent logistic source ⋮ Spreading speed in a fractional attraction-repulsion chemotaxis system with logistic source ⋮ Existence, uniqueness and decay estimates on mild solutions to fractional chemotaxis-fluid systems ⋮ Large time behavior in a fractional chemotaxis-Navier-Stokes system with logistic source ⋮ Existence and global asymptotic stability in a fractional double parabolic chemotaxis system with logistic source ⋮ Global existence and decay estimates for the classical solution of fractional attraction-repulsion chemotaxis system

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