2 papers
math.PR2016
The Navier-Stokes- equation via forward-backward stochastic differential systems
Guoping Liu
In this paper, we use forward-backward stochastic differential systems to study the solution of two and d dimensional () Navier-Stokes- equation. For the two dimensiona…
math.PR2015
A stochastic variational approach to the viscous Camassa-Holm and Leray-alpha equations
Ana Bela Cruzeiro, Guoping Liu
We derive the (d-dimensional) periodic incompressible and viscous Camassa-Holm equation as well as the Leray-alpha equations via a stochastic variational principle. We discuss the…