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Some aspects of mean curvature flow

Course Type: 
PhD Course
Academic Year: 
2020-2021
Period: 
June
Duration: 
20 h
Description: 

Main arguments of the course:

  • A review on properties of classical mean curvature flow.
  • Local well-posedness.
  • Comparison principle.
  • Convexity preserving.
  • Evolution of graphs.
  • Formation of singularities and weak solutions.
  • The minimizing movement method and the solution of Almgren-Taylor-Wang.
  • The phase-field approximation and the Allen-Cahn equation.
Location: 
A-133
Next Lectures: 

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