Convexified Gauss curvature flow of bounded open sets in an anisotropic external field a stochastic apporoximation and PDE

We construct a random crystalline ( or polyhedral) approximation of a convexified Gauss curvature flow of bounded open sets in an anisotropic external field. We also show that a weak solution to the PDE which describes the motion of a bounded open set is unique and is a viscosity solution of it.