Yuxiang Li

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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

Finite-time blowup in a parabolic-parabolic-elliptic chemotaxis model involving indirect signal production

Xuan Mao, Yuxiang Li

This paper is concerned with a three-component chemotaxis model accounting for indirect signal production,reading as $u_{t} = \nabla \cdot (\nabla u - u \nabla v)$ , $v_{t} = Δ v - v + w$ an…

math.AP2024

Global solvability and unboundedness in a fully parabolic quasilinear chemotaxis model with indirect signal production

Xuan Mao, Yuxiang Li

This paper is concerned with a quasilinear chemotaxis model with indirect signal production, $u_{t} = \nabla \cdot (D (u) \nabla u - S (u) \nabla v)$ , $v_{t} = Δ v - v + w$ and $w_t = Δw - w…