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math.AP2019
The Batchelor spectrum of passive scalar turbulence in stochastic fluid mechanics at fixed Reynolds number
Jacob Bedrossian, Alex Blumenthal, Sam Punshon-Smith
In 1959, Batchelor predicted that the stationary statistics of passive scalars advected in fluids with small diffusivity should display a power spectrum along an ine…
math.AP2019★ 7 cited
Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equations
Jacob Bedrossian, Alex Blumenthal, Samuel Punshon-Smith
We deduce almost-sure exponentially fast mixing of passive scalars advected by solutions of the stochastically-forced 2D Navier-Stokes equations and 3D hyper-viscous Navier-Stokes…