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Some aspects of mean curvature flow

Course Type: 
PhD Course
Academic Year: 
2021-2022
Period: 
March-June
Duration: 
20 h
Description: 

A review on properties of classical mean curvature flow.
Position of the problem.
Local well-posedness.
Comparison principle.
Convexity preserving.
Evolution of graphs.
The phase-field approximation and the Allen-Cahn equation.
The solution of Almgren-Taylor-Wang.

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