Lecturer:
Course Type:
PhD Course
Academic Year:
2013-2014
Period:
March-May
Duration:
40 h
Description:
- Mean curvature flow of hypersurfaces. Introduction to the problem.
- First variation of the perimeter.
- Uniqueness of smooth flows. Short time existence.
- Examples of singularities: Grayson example.
- Fattening of the crossing.
- Anisotropic mean curvature flow.
- Finsler metrics and their duals.
- The Wulff shape. Duality mappings.
- Relations between the Minkowski content (or anisotropic perimeter) and the Hausdorff measure.
- First variation of the anisotropic perimeter. The Cahn-Hoffman vector.
- Anisotropic mean curvature. Anisotropic mean curvature flow.
- Crystalline mean curvature flow. The evolution problem in two and three dimensions. The phenomenon of facet breaking.
Warning: the lesson of May 5th will be held in room 134.
Research Group:
Location:
A-133