2 problems

For the incompressible Euler equations on boundary-free three-dimensional space, $\partial_t u+(u\cdot\nabla)u=-\nabla p$, $\nabla\cdot u=0$ on $\mathbb{R}^3\times[0,\infty)$, with…

Godara and Sarkar conjectured that, for every odd prime $p$, if $H_{p^3}=\operatorname{UT}_3(\mathbb{F}_p)$ is the Heisenberg group of order $p^3$, then $\mathsf{d}(H_{p^3})=3p-3$,…