On effects of sampling radius for the nonlocal Patlak-Keller-Segel chemotaxis model

DOI10.3934/dcds.2014.34.4911zbMath1307.35038OpenAlexW2315516466MaRDI QIDQ476591

Tian Xiang

Publication date: 2 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.4911

zbMATH Keywords

one space dimensionnonlocal gradientMoser-Alikakos iteration

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Pattern formations in context of PDEs (35B36)

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Boundedness of solutions in a fully parabolic quasilinear chemotaxis model with two species and two chemicals, Chemotaxis effect vs. logistic damping on boundedness in the 2-D minimal Keller-Segel model, Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system, A new result for global existence and boundedness of solutions to a parabolic-parabolic Keller-Segel system with logistic source, Boundedness and stabilization in a two-species chemotaxis system with two chemicals, Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source, On a class of Keller-Segel chemotaxis systems with cross-diffusion

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