Annuncio Seminario di Probabilita, Pisa,
Universita' di Pisa
Martedi' 16 maggio, ore 11:15, Aula Seminari
Seminario di Probabilita’
SPEAKER: Dejun Luo (Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing)
TITLE: Constantin and Iyer's representation formula for the Navier--Stokes equations on manifolds
ABSTRACT: In this talk, we will present a probabilistic representation formula for the Navier-Stokes equations on compact Riemannian manifolds. Such a formula has been provided by Constantin and Iyer in the flat case. On a Riemannian manifold, there are several different choices of Laplacian operators acting on vector fields. We shall use the de Rham-Hodge Laplacian operator which seems more relevant to the probabilistic setting, and adopt Elworthy-Le Jan-Li's idea to decompose it as a sum of the square of Lie derivatives. This is a joint work with Shizan Fang.
Tutti gli interessati sono invitati a partecipare. Per informazioni scrivere a carina.geldhauser@dm.unipi.it