A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system

Jan Fuhrmann, Johannes Lankeit, Michael Winkler

Derived from a biophysical model for the motion of a crawling cell, the system \[(*)~\begin{cases}u_t=Δu-\nabla\cdot(u\nabla v)\\0=Δv-kv+u\end{cases}\] is investigated in a finite…