Professor Dr. Tobias Colding, MIT, Vortrag: Level set method for motion by mean curvature

am 20.07.2017 um 16:30h im Raum M5

Abstract: Modeling of a wide range of physical phenomena leads to tracking fronts moving with curvature-dependent speed. A particularly natural example is where the speed is the mean curvature. If the movement is monotone inwards, then the arrival time function is the time when the front arrives at a given point. It has long been known that this function satisfies a natural differential equation in a weak sense but one wonders what is the regularity. It turns out that one can completely answer this question. It is always twice differentiable and the second derivative is only continuous in very rigid situations that have a simple geometric description. The proof weaves together analysis and geometry.

Angelegt am 16.06.2017 10:21:48 von
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Kolloquium der Mathematischen Institute (unterstŁtzt durch den SFB 878)