| Abstract: |
| We consider the inviscid 2D Boussinesq system driven by rough transport noise of Kraichnan type with regularity index $\alpha\in (0,1/2)$. For all $p>1$, we establish the existence and uniqueness of probabilistic strong solutions for all $L^p$ initial vorticity and $L^2$ initial temperature, under the parameter constraint $\alpha\in (0, 1-1/(p\wedge 2))$. The talk is based on a joint work with Dr. Shuaijie Jiao. |
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