2 papers
math.AP2026
Finite-time blow-up in a class of chemotaxis systems with spatially heterogeneous diffusion sensitivity
Yashuang Zhao, Shijun Li, Shaopeng Xu
\indent In this paper, we study a class of parabolic-elliptic Keller-Segel systems with diffusion sensitivity dependent on spatial position, given by type \begin{equation} \left\{…
math.AP2026
Approximation Analysis of a Parabolic-Parabolic Chemotaxis Model with Logarithmic Nonlinearity
Shijun Li, Yashuang Zhao, Shaopeng Xu +1
We consider the Keller-Segel system with logical source \begin{align*} \begin{cases} u_t = \nabla \cdot (ϕ(u)\nabla u) - \nabla \cdot (ψ(u)\nabla v)+f(u), & x \in Ω, \; t > 0, v_t…