Special Session 185: Multiscale Analysis: Geometry and Evolution Problems (mSPACE)

Regularity by duality for minimising movements with nonlinear mobility
Lorenzo Portinale
Universita` di Milano statale
Italy
Co-Author(s):    Emanuela Radici, Simone di Marino
Abstract:
In this talk, we discuss conservation laws that can be written as gradient flows with respect to a Wasserstein distance with nonlinear mobility. In particular, we discuss ideas for inferring regularity estimates for time-discretisation schemes using two important tools: (dynamical) duality and comparison principles.