3 problems

Let $u_0$ be a unit-volume initial datum for the classical volume-preserving mean curvature flow, and let $P(u_0)$ denote its perimeter. Suppose that … where $B_{1/2}$ is a ball of…

Let $E_0$ be an initial set, and consider its discrete volume-preserving mean curvature flow, with the volume preserved along the evolution. A limiting ball with the same volume as…

Let $M$ be a closed, connected, orientable manifold, and let $X$ be a volume-preserving vector field on $M$. Write $\mathcal I_X(M)$ for the space of all $X$-invariant distribution…