Finite speed axially symmetric Navier-Stokes flows passing a cone

Zijin Li, Xinghong Pan, Xin Yang +3

Let $D$ be the exterior of a cone inside a ball, with its altitude angle at most $\pi /6$ in ${\mathbb{R}}^3$, which touches the $x_3$ axis at the origin. For any initial value $v_0 = v…