14 Giugno, 2017 14:15

Sezione di Analisi

A gradient flow approach to a porous medium equation with fractional pressure

Antonio Segatti, Università degli studi di Pavia

Aula seminari 3° piano

In this seminar I will show how a porous medium equation with fractional pressure,
that has been recently introduced and studied by Caffarelli and Vazquez,can be understood as
a Wasserstein gradient flow.
The results include the energy dissipation inequality, the regularizing effect and decay estimates for the L^p norms.
This is a joint work with S. Lisini and E. Mainini. dimat.unipv.it/segatti