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math.AP2022
Global existence of solutions to the chemotaxis system with logistic source under nonlinear Neumann boundary condition
Minh Le
We consider classical solutions to the chemotaxis system with logistic source under nonlinear Neumann boundary condition $\frac{\partial u}{ \partial ν} = |u|^{p}…
math.AP2022
Explicit lower bound of blow-up time in a fully parabolic attraction-repulsion chemotaxis system with nonlinear terms
Minh Le, Zhengfang Zhou
It is known that for the parabolic-elliptic Keller-Segel type system in a smooth bounded domain in 3-dimensional space, the lower bound of a blow-up time of unbounded solution is g…