Global boundedness of solutions in a parabolic-parabolic chemotaxis system with singular sensitivity

DOI10.1016/j.jmaa.2016.05.036zbMath1381.35081arXiv1511.02302OpenAlexW2193729371MaRDI QIDQ298138

Xiangdong Zhao, Sining Zheng

Publication date: 20 June 2016

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

Full work available at URL: https://arxiv.org/abs/1511.02302

zbMATH Keywords

boundednesschemotaxisKeller-Segel systemsingular sensitivity

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51) Classical solutions to PDEs (35A09)

Related Items (16)

Generalised supersolutions with mass control for the Keller-Segel system with logarithmic sensitivity ⋮ Singular sensitivity in a Keller-Segel-fluid system ⋮ Global boundedness in higher dimensions for a fully parabolic chemotaxis system with singular sensitivity ⋮ A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data ⋮ Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption ⋮ Stabilization in the logarithmic Keller-Segel system ⋮ Finite-time blow-up of solution for a chemotaxis model with singular sensitivity and logistic source ⋮ Global and exponential stabilization of morphogenesis models with logarithmic sensitivity and linear degradation ⋮ Boundedness of classical solutions for a chemotaxis system with general sensitivity function ⋮ Classical solutions to a logistic chemotaxis model with singular sensitivity and signal absorption ⋮ Unlimited growth in logarithmic Keller-Segel systems ⋮ Global existence in a chemotaxis system with singular sensitivity and signal production ⋮ Global existence, boundedness and asymptotic behavior to a chemotaxis model with singular sensitivity and logistic source ⋮ Global existence to a chemotaxis-consumption model with nonlinear diffusion and singular sensitivity ⋮ Boundedness in a chemotaxis-consumption system with singular sensitivity ⋮ A two-dimensional Keller-Segel-Navier-Stokes system with logarithmic sensitivity: generalized solutions and classical solutions

Cites Work

• Boundedness in a fully parabolic chemotaxis system with singular sensitivity
• Global weak solutions in a chemotaxis system with large singular sensitivity
• Initiation of slime mold aggregation viewed as an instability
• Global solutions of a Keller-Segel system with saturated logarithmic sensitivity function
• Global boundedness in a quasilinear chemotaxis system with signal-dependent sensitivity
• Boundedness vs. blow-up in a chemotaxis system
• A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity
• Global solutions in a fully parabolic chemotaxis system with singular sensitivity
• On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
• Behavior of radially symmetric solutions of a system related to chemotaxis
• Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity
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