Youshan Tao

activity

20112026

most citedBoundedness in a two-dimensional chemotaxis-haptotaxis system

47 citations · 55 across the 8 of their papers we have counts for

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Showing 2026 · math.APShow all

2 papers · 2 filters

math.AP2026

Blow-down and immediate onset of positivity in the Neumann problem for (super-)fast diffusion equations

Youshan Tao, Michael Winkler

For the degenerate parabolic equation $u_{t} = \nabla \cdot (u^{m - 1} \nabla u)$ , the homogeneous Neumann problem in smoothly bounded domains $Ω \subset R^{n}$ is considered in th…

math.AP2026

Preventing $L^{p}$ blow-up by local anisotropy of signal production in the Keller-Segel system with strongly differing diffusion rates

Youshan Tao, Michael Winkler

In a smoothly bounded domain $Ω \subset R^{n}$ , $n \leq 5$ , the manuscript considers the variant of the Keller-Segel system given by \[ \left\{ \begin{array}{l} u_t = D Δu - \nabla \cdo…

Blow-down and immediate onset of positivity in the Neumann problem for (super-)fast diffusion equations

Preventing Lp blow-up by local anisotropy of signal production in the Keller-Segel system with strongly differing diffusion rates

Preventing $L^{p}$ blow-up by local anisotropy of signal production in the Keller-Segel system with strongly differing diffusion rates