Showing math.APShow all
3 papers · 1 filter
math.AP2023
Blow-up prevention by sub-logistic sources in 2d Keller-Segel system
Minh Le
This paper investigates the global existence of solutions to Keller-Segel systems with sub-logistic sources using the test function method. Prior work demonstrated that sub-logisti…
math.AP2023
Blow-up prevention by sub-logistic sources in Keller-Segel cross diffusion type system
Minh Le
The focus of this paper is on solutions to a two-dimensional Keller-Segel system containing sub-logistic sources. We show that the presence of sub-logistic terms is adequate to pre…
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…