Mean curvature flow
= Mean curvature flow
{wiki=Mean_curvature_flow}
Mean curvature flow is a mathematical concept used in differential geometry and geometric analysis. It describes the evolution of a surface in space as it flows in the direction of its mean curvature. The mean curvature of a surface at a point is intuitively understood as a measure of how the surface curves at that point; it is essentially the average of the curvatures in all directions.