Global Boundedness in a Logarithmic Keller–Segel System
Copyright policy )Global Boundedness in a Logarithmic Keller–Segel System
In this paper, we propose a user-friendly integral inequality to study the coupled parabolic chemotaxis system with singular sensitivity under the Neumann boundary condition. Under a low diffusion rate, the classical solution of this system is uniformly bounded. Our proof replies on the construction of the energy functional containing ∫Ω|v|4v2 with v>0. It is noteworthy that the inequality used in the paper may be applied to study other chemotaxis systems.
- Chengdu University of Information Technology China (People's Republic of)
- Harbin Institute of Technology China (People's Republic of)
- Zhejiang Sci-Tech University China (People's Republic of)
chemotaxis model, integral inequality, global uniform boundedness, QA1-939, chemotaxis model; energy functional; integral inequality; global uniform boundedness, energy functional, Mathematics
chemotaxis model, integral inequality, global uniform boundedness, QA1-939, chemotaxis model; energy functional; integral inequality; global uniform boundedness, energy functional, Mathematics
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