115 citations · 423 across the 31 of their papers we have counts for
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math.PR2005★ 115 cited
A stochastic Lagrangian representation of the 3-dimensional incompressible Navier-Stokes equations
Peter Constantin, Gautam Iyer
In this paper we derive a representation of the deterministic 3-dimensional Navier-Stokes equations based on stochastic Lagrangian paths. The particle trajectories obey SDEs driven…
math.AP2005★ 21 cited
A stochastic perturbation of inviscid flows
Gautam Iyer
We prove existence and regularity of the stochastic flows used in the stochastic Lagrangian formulation of the incompressible Navier-Stokes equations (with periodic boundary condit…