Chemotaxis-consumption interaction: Solvability and asymptotics in general high-dimensional domains

Johannes Lankeit, Michael Winkler

The basic chemotaxis-consumption model \[ u_t = Δu - \nabla \cdot(u\nabla v),\qquad\qquad v_t = Δv - uv \] is considered in general, possibly non-convex bounded domains of arbitrar…