Surface quasi-geostrophic equation perturbed by derivatives of space-time white noise

Martina Hofmanová, Xiaoyutao Luo, Rongchan Zhu +1

We consider a family of singular surface quasi-geostrophic equations $${\partial }_t\theta +u\cdot \nabla \theta =-\nu (-\Delta {)}^{\gamma /2}\theta +(-\Delta {)}^{\alpha /2}\xi ,u={\nabla }^{\perp }(-\Delta {)}^{-1/2}\theta ,$$ on $[0,\infty)…