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William Minicozzi (MIT), PDE Mini-School

April 13, 2017 @ 3:30 pm - 4:20 pm

Title Lecture 3Level set method for motion by mean curvature

Abstract:  Modeling of a wide class of physical phenomena, such as crystal growth and flame propagation, leads to tracking fronts moving with curvature-dependent speed.  When the speed is the curvature this leads to a degenerate elliptic nonlinear pde.  A priori solutions are only defined in a weak sense, but it turns out that they are always twice differentiable classical solutions. This result is optimal; their second derivative is continuous only  in very rigid situations that have a simple geometric interpretation.  The proof weaves together analysis and geometry.   This is joint work with Toby Colding.

Details

Date:
April 13, 2017
Time:
3:30 pm - 4:20 pm
Event Category:

Venue

Phillips 385