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math.AP2025
Critical mass for finite-time chemotactic collapse in the critical dimension via comparison
Xuan Mao, Meng Liu, Yuxiang Li
We study the Neumann initial-boundary value problem for the parabolic-elliptic chemotaxis system, proposed by Jäger and Luckhaus (1992). We confirm that their comparison methods ca…
math.AP2025
Finite-time blowup in a fully parabolic chemotaxis model involving indirect signal production
Xuan Mao, Meng Liu, Yuxiang Li
This paper is concerned with a parabolic-parabolic-parabolic chemotaxis system with indirect signal production, modelling the impact of phenotypic heterogeneity on population aggre…
math.AP2024
A note on the problem of Jäger-Luckhaus system
Xuan Mao, Meng Liu, Yuxiang Li
We show that for any nonnegative, radially symmetric and continuous initial datum with critical mass , Jäger-Luckhaus system in the unit disk, known as a parabolic-elliptic Kel…