Global boundedness in a fully parabolic quasilinear chemotaxis system with singular sensitivity

DOI10.1016/j.jmaa.2018.01.049zbMath1429.35038OpenAlexW2789274442MaRDI QIDQ1706538

Mengyao Ding

Publication date: 22 March 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.01.049

zbMATH Keywords

nonlinear diffusionblow-up preventionnon-flux boundary conditionssignal-dependent sensitivity

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (5)

Global boundedness to a parabolic-parabolic chemotaxis model with nonlinear diffusion and singular sensitivity ⋮ Boundedness of solutions for a quasilinear chemotaxis-haptotaxis model ⋮ Global in time and bounded solutions to a parabolic-elliptic chemotaxis system with nonlinear diffusion and signal-dependent sensitivity ⋮ Boundedness in a fully parabolic attraction-repulsion chemotaxis system with nonlinear diffusion and signal-dependent sensitivity ⋮ Boundedness and finite-time blow-up in a quasilinear parabolic-elliptic-elliptic attraction-repulsion chemotaxis system

Cites Work

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• Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with the sensitivity \(v^{-1}S(u)\)
• Boundedness in a fully parabolic chemotaxis system with singular sensitivity
• Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
• Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
• Boundedness in a fully parabolic chemotaxis system with strongly singular sensitivity
• Global boundedness in a quasilinear chemotaxis system with general density-signal governed sensitivity
• Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
• Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity
• Global solutions in a fully parabolic chemotaxis system with singular sensitivity
• Finite-time blow-up in a quasilinear system of chemotaxis
• Does a ‘volume-filling effect’ always prevent chemotactic collapse?
• On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
• A unified method for boundedness in fully parabolic chemotaxis systems with signal‐dependent sensitivity
• COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS
• Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity

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