Global boundedness versus finite-time blow-up of solutions to a quasilinear fully parabolic Keller-Segel system of two species

DOI10.3934/cpaa.2016.15.243zbMath1356.92014OpenAlexW2527555534MaRDI QIDQ905423

Sining Zheng, Miaoqing Tian

Publication date: 19 January 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2016.15.243

zbMATH Keywords

boundednessblow-upchemotaxistwo-species Keller-Segel system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Cell movement (chemotaxis, etc.) (92C17)

Related Items (8)

Large time behavior in a quasilinear chemotaxis model with indirect signal absorption ⋮ Infinite time blow-up of many solutions to a general quasilinear parabolic-elliptic Keller-Segel system ⋮ Global generalized solutions for a two-species chemotaxis system with tensor-valued sensitivity and logistic source ⋮ Blow-up prevention by logistic source in an \(N\)-D chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis ⋮ Boundedness and asymptotic behavior in a quasilinear two-species chemotaxis system with loop ⋮ Global existence and asymptotic behavior in a two-species chemotaxis system with logistic source ⋮ Boundedness and asymptotic stability in a quasilinear two-species chemotaxis system with nonlinear signal production ⋮ Global boundedness and asymptotic behavior in a two-species chemotaxis-competition system with two signals

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