Blow-up for a Stochastic Model of Chemotaxis Driven by Conservative Noise on ${\mathbb{R}}^2$

Avi Mayorcas, Milica Tomasevic

We establish criteria on the chemotactic sensitivity $\chi$ for the non-existence of global weak solutions (i.e. \textit{blow-up} in finite time) to a stochastic Keller--Segel model w…