Lagrangian Navier–Stokes diffusions on manifolds: Variational principle and stability

Topological Methods in Hydrodynamics

Vladimir I. Arnold, Boris Khesin · Annual Review of Fluid Mechanics · 1992 · 1.1K citations

Computing, Physics, Fluid Dynamics +14

A stochastic Lagrangian representation of the three‐dimensional incompressible Navier‐Stokes equations

Communications on Pure and Applied Mathematics · 2007 · 110 citations · Full text

Engineering, Mathematics, Fluid Dynamics +16

Nonnegative ricci curvature and the brownian coupling property

Wilfrid S. Kendall · Stochastics · 1986 · 104 citations

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A variational principle for the Navier-Stokes equation

Kunio Yasue · Journal of Functional Analysis · 1983 · 66 citations

Natural Sciences, Mathematics, Mechanical Engineering +14

Stochastic least-action principle for the incompressible Navier–Stokes equation

Gregory L. Eyink · Physica D Nonlinear Phenomena · 2008 · 63 citations

Engineering, Mechanical Engineering, Fluid Dynamics +12