26 citations · 59 across the 24 of their papers we have counts for
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math.PR2010★ 1 cited
Lagrangian Navier-Stokes diffusions on manifolds: variational principle and stability
Marc Arnaudon, Ana Bela Cruzeiro
We prove a variational principle for stochastic Lagrangian Navier-Stokes trajectories on manifolds. We study the behaviour of such trajectories concerning stability as well as rota…
math.PR2010
On a forward-backward stochastic system associated to the Burgers equation
Ana Bela Cruzeiro, Evelina Shamarova
We describe a probabilistic construction of -regular solutions for the spatially periodic forced Burgers equation by using a characterization of this solution through a forwar…