paper

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

arXiv:2502.17338

Abstract

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 arbitrary spatial dimension. Global existence of weak solutions is shown, along with eventual smoothness of solutions and their stabilization in the large time limit.

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