Gauss curvature flow

Gauss curvature flow is a geometric evolution equation that describes the behavior of a surface in terms of its curvature. Specifically, it is a variation of curvature flow that involves the Gaussian curvature of the surface. In mathematical terms, given a surface \( S \) in \( \mathbb{R}^3 \), the Gauss curvature \( K \) is a measure of how the surface bends at each point.