A note on Constantin and Iyers representation formula for the Navier-Stokes equations
主 题: A note on Constantin and Iyers representation formula for the Navier-Stokes equations
报告人: 罗德军 (中国科学院数学院)
时 间: 2015-09-28 15:00 - 16:00
地 点: 理科一号楼 1479
The purpose of this note is to establish a probabilistic representation formula for Navier--Stokes equations on a compact Riemannian manifold. To this end, we first give a geometric interpretation of Constantin and Iyer's representation formula for the Navier--Stokes equation, then extend it to a compact Riemannian manifold. We shall use Elworthy--Le Jan--Li's idea to decompose de Rham--Hodge Laplacian operator on a manifold as a sum of the square of vector fields. This is a joint work with Professor Shizan Fang.