26 citations · 59 across the 24 of their papers we have counts for
Showing 2015 · math.PRShow all
3 papers · 2 filters
math.PR2015
Generalized stochastic Lagrangian paths for the Navier-Stokes equation
Marc Arnaudon, Ana Bela Cruzeiro, Shizan Fang
In the note added in proof of the seminal paper [Groups of diffeomorphisms andthe motion of an incompressible fluid, Ann. of Math. 92 (1970), 102-163], Ebinand Marsden introduced t…
math.PR2015★ 1 cited
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…
math.PR2015★ 3 cited
Weak calculus of variations for functionals of laws of semi-martingales
Ana Bela Cruzeiro, Rémi Lassalle
We develop a non-anticipating calculus of variations for functionals on a space of laws of continuous semi-martingales, which extends the classical one. We extend Hamilton's least…