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math.AP2024
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 &= Îv - uv \end{al…
math.AP2024
Stationary states of a chemotaxis consumption system with singular sensitivity and inhomogeneous boundary conditions
Jaewook Ahn, Johannes Lankeit
For given total mass we show unique solvability of the stationary chemotaxis-consumption model \[ \begin{cases} 0= Îu - Ï\nabla \cdot (\frac{u}{v} \nabla v) \\ 0= Îv - uv…