11 citations · 43 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
Vortex filament solutions of the Navier-Stokes equations
Jacob Bedrossian, Pierre Germain, Benjamin Harrop-Griffiths
We consider solutions of the Navier-Stokes equations in with vortex filament initial data of arbitrary circulation, that is, initial vorticity given by a divergence-free vecto…
The linearized Vlasov and Vlasov-Fokker-Planck equations in a uniform magnetic field
Jacob Bedrossian, Fei Wang
We study the linearized Vlasov equations and the linearized Vlasov-Fokker-Planck equations in the weakly collisional limit in a uniform magnetic field. In both cases, we consider p…
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…