6 problems

Let ${\boldsymbol \tau}$ be a uniform knot sequence such that the dimension of $\mathcal{S}_{p,{\boldsymbol \tau},\operatorname{per}}$ is $2m$. For any $q\geq 0$, let $Q_p^q$ be th…

Let $(u_0,0,T)$ be a smooth periodic set of data. Global regularity for homogeneous periodic data with normalised pressure. There exists a smooth periodic solution $(u,p,u_0,0,T)$…

Let $(u,p,u_0,0,T,L)$ be a smooth periodic, homogeneous normalised-pressure solution, with $0<T<T_0<\infty$ and periodic data norm ${\mathcal H}^1(u_0,0,T,L)\leq A<\infty$. A prior…

Let $(u,p,u_0,f,T,L)$ be a smooth periodic, normalised-pressure solution, with periodic $H^1$ data norm ${\mathcal H}^1(u_0,f,T,L)$ finite. A priori periodic $H^1$ bound. There exi…

Let $(u_0,f,T)$ be a smooth periodic set of data. A periodic solution has normalised pressure when its pressure satisfies the normalisation used in the periodic Navier–Stokes formu…

Let $(u_0,f,T)$ be a smooth periodic set of data. Global regularity for periodic data. There exists a smooth periodic solution $(u,p,u_0,f,T)$ with the indicated data. This is the…