45 citations · 116 across the 16 of their papers we have counts for
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Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection-diffusion by stochastic Navier-Stokes
Jacob Bedrossian, Alex Blumenthal, Samuel Punshon-Smith
We study the mixing and dissipation properties of the advection-diffusion equation with diffusivity and advection by a class of random velocity fields on …
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…
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…
Sufficient conditions for dual cascade flux laws in the stochastic 2d Navier-Stokes equations
Jacob Bedrossian, Michele Coti Zelati, Sam Punshon-Smith +1
We provide sufficient conditions for mathematically rigorous proofs of the third order universal laws capturing the energy flux to large scales and enstrophy flux to small scales f…