Blow up dynamics for the hyperbolic vanishing mean curvature flow of surfaces asymptotic to Simons cone

Hajer Bahouri, Alaa Marachli, Galina Perelman

In this article, we establish the existence of a family of hypersurfaces $(\Gamma (t){)}_{0<t\le T}$ which evolve by the vanishing mean curvature flow in Minkowski space and which as $t…