Global-in-time probabilistically strong solutions to stochastic power-law equations: existence and non-uniqueness

Huaxiang Lü, Xiangchan Zhu

We are concerned with the power-law fluids driven by an additive stochastic forcing in dimension $d\ge 3$. For the power index $r\in (1,\frac{3d+2}{d+2})$, we establish existence of…