# John-von-Neumann lecture - Sommersemester 2015

### The total variation flow and the mean curvature flow.

### Prof. Matteo Novaga

**The course will take place from April, 13 until May, 29, 2015.**Exact times and locations tba.

#### **Content:**

I will present two important evolution equations which attracted a lot of attention in recent years: the total variation flow and the mean curvature flow. After an introduction on BV functions and sets of finite perimeter, I will discuss the main theoretical features of these evolutions, such as existence and properties of solutions, together with a few applications.