47 citations · 60 across the 5 of their papers we have counts for
4 papers · 1 filter
Exponential mixing for random dynamical systems and an example of Pierrehumbert
Alex Blumenthal, Michele Coti Zelati, Rishabh S. Gvalani
We consider the question of exponential mixing for random dynamical systems on arbitrary compact manifolds without boundary. We put forward a robust, dynamics-based framework that…
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…
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…