Global boundedness and blow-up in a repulsive chemotaxis-consumption system in higher dimensions

Jaewook Ahn, Kyungkeun Kang, Dongkwang Kim

This paper investigates the repulsive chemotaxis-consumption model \begin{align*} \partial_t u &= \nabla \cdot (D(u) \nabla u) + \nabla \cdot (u \nabla v), \\ 0 &= Δv - uv \end{ali…