7 citations · 9 across the 2 of their papers we have counts for
6 papers
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…
Lagrangian chaos and scalar advection in stochastic fluid mechanics
Jacob Bedrossian, Alex Blumenthal, Samuel Punshon-Smith
We study the Lagrangian flow associated to velocity fields arising from various models of fluid mechanics subject to white-in-time, -in-space stochastic forcing in a periodic…
A sufficient condition for the Kolmogorov 4/5 law for stationary martingale solutions to the 3D Navier-Stokes equations
Jacob Bedrossian, Michele Coti Zelati, Samuel Punshon-Smith +1
We prove that statistically stationary martingale solutions of the 3D Navier-Stokes equations on subjected to white-in-time (colored-in-space) forcing satisfy the Ko…
Renormalized Solutions to Stochastic Continuity Equations with Rough Coefficients
Samuel Punshon-Smith
We consider the stochastic continuity equation associated to an Itô diffusion with irregular drift and diffusion coefficients. We give regularity conditions under which weak soluti…