Jing Zhang

Global boundedness of the chemotaxis system with weakly singular sensitivity and nonlocal term in any dimension

This paper is concerned with the parabolic-elliptic chemotaxis system involving weakly singular sensitivity and a nonlocal source: $u_t=\Delta u-\chi\nabla\cdot\left(\frac{u}{v^k}\nabla v\right) +u^\alpha\left(r-\mu\int_\Omega u^\beta\,dx\right)$ and $0=\Delta v-v+u^\gamma$ under homogeneous Neumann boundary conditions...