Long-term behaviour in a parabolic-elliptic chemotaxis-consumption model

Mario Fuest, Johannes Lankeit, Masaaki Mizukami

Global existence and boundedness of classical solutions of the chemotaxis--consumption system \begin{align*} n_t &= Δn - \nabla \cdot (n \nabla c), \\ 0 &= Δc - nc, \end{align*} un…