A singular example for the averaged mean curvature flow. Mayer, Uwe F. — 2001 Experimental Mathematics

Two-sided Mullins-Sekerka flow does not preserve convexity. Mayer, Uwe F. — 1997 Electronic Journal of Differential Equations (EJDE) [electronic only]

One-sided Mullins-Sekerka flow does not preserve convexity. Mayer, Uwe F. — 1993 Electronic Journal of Differential Equations (EJDE) [electronic only]