J. Escher et G. Simonett, THE VOLUME PRESERVING MEAN-CURVATURE FLOW NEAR SPHERES, Proceedings of the American Mathematical Society, 126(9), 1998, pp. 2789-2796
By means of a center manifold analysis we investigate the averaged mea
n curvature flow near spheres. In particular, we show that there exist
global solutions to this flow starting from non-convex initial hypers
urfaces.