# Seminars & Colloquia Calendar

Geometric Analysis Seminar

## Asymptotics for the level set equation near a maximum

#### Nick Strehlke (MIT)

Location:  Hill 705
Date & time: Tuesday, 13 November 2018 at 3:00PM - 4:00PM

Abstract:  We give asymptotics for the level set equation for mean curvature flow on a convex domain near the point where it attains a maximum. It is known that solutions are not necessarily $$C^3,$$ and we recover this result and construct non-smooth solutions which are $$C^3.$$ We also construct solutions having prescribed behavior near the maximum. We do this by analyzing the asymptotics for rescaled mean curvature flow converging to a stationary sphere.

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