Strong Uniqueness by Kraichnan Transport Noise for the 2D Boussinesq Equations with Zero Viscosity

Shuaijie Jiao, Dejun Luo

We investigate the inviscid 2D Boussinesq equations driven by rough transport noise of Kraichnan type with regularity index $\hat{I}\pm \in (0,1/2)$. For all $1<p<\infty$, we establish the…