2 problems

Let $boldsymbol{u}^ u,boldsymbol{ abla}boldsymbol{\times}boldsymbol{u}^ u=boldsymbol{ abla}timesboldsymbol{u}^ u$ be a sequence of 2D Navier–Stokes solutions satisfying the paper's…

Fix $p\in[1,+\infty)$. Let $b\in C^{\infty}([0,T]\times\mathbb{T}^d)$ be divergence free and let $u_0\in W^{1,2}(\mathbb{T}^d)$. If $u^\nu$ is a solution of the advection diffusion…