MENU

You are here

On the Commutativity of Flows of Rough Vector Fields

Riccardo Tione
Institution: 
EPFL
Schedule: 
Friday, February 26, 2021 - 16:00
Location: 
Online
Abstract: 

a classical Theorem in Differential Geometry states that the flows of two smooth vector fields $X,Y$ commute for all times if and only if their Lie bracket $[X,Y]$ vanishes. In this talk, I will consider Sobolev vector fields with bounded divergence, and I will discuss an extension of this result in the context of Regular Lagrangian Flows.

Based on joint work with Maria Colombo.

Sign in