The paper formulates LA SALT stochastic fluid equations whose mean field satisfies a closed Lie-Laplacian Navier-Stokes equation, and establishes well-posedness and fluctuation variance dynamics.
A stochastic Lagrangi an representation of the three-dimensional incompressible Navier-Stokes equations
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Lagrangian averaged stochastic advection by Lie transport for fluids
The paper formulates LA SALT stochastic fluid equations whose mean field satisfies a closed Lie-Laplacian Navier-Stokes equation, and establishes well-posedness and fluctuation variance dynamics.