6 papers
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 K…
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 , a…
Mass threshold for global existence in chemotaxis systems with critical flux limitation
Xuan Mao, Hengling Wang, Jianlu Yan
This paper investigates the flux-limited chemotaxis system, proposed by Kohatsu and Senba~(2025), \begin{equation*} \begin{cases} u_t = Îu -\nabla\cdot(u|\nabla v|^{α-2}\nabla v)…
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 c…
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…
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, , and $w_t = Îw -…