Geometric Flows and Geometric Operators

seminar: Convexity estimates for a nonhomogeneous mean curvature flow

speaker: Roberta Alessandroni (Max Planck Institute AEI Potsdam)

abstract: We consider the flow of a closed immersed hypersurface with speed given by a function of the mean curvature asymptotic to Hlog H for large H. For a nonconvex initial surface the formation of singularities is well behaved under this flow. We prove that if a surface has positive mean curvature at the initial time it becomes asymptotically convex near a singularity. The technique is similar to the one used for the mean curvature flow, but in this case the proof is easier and is based only on the maximum principle.

timetable:
Fri 22 May, 15:00 - 16:00, Aula Dini
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