139 citations · 562 across the 42 of their papers we have counts for
5 papers · 1 filter
On the stability threshold for the 3D Couette flow in Sobolev regularity
Jacob Bedrossian, Pierre Germain, Nader Masmoudi
We study Sobolev regularity disturbances to the periodic, plane Couette flow in the 3D incompressible Navier-Stokes equations at high Reynolds number . Our goal is to…
Enhanced dissipation, hypoellipticity, and anomalous small noise inviscid limits in shear flows
Jacob Bedrossian, Michele Coti Zelati
We analyze the decay and instant regularization properties of the evolution semigroups generated by two-dimensional drift-diffusion equations in which the scalar is advected by a s…
Dynamics near the subcritical transition of the 3D Couette flow II: Above threshold case
Jacob Bedrossian, Pierre Germain, Nader Masmoudi
This is the second in a pair of works which study small disturbances to the plane, periodic 3D Couette flow in the incompressible Navier-Stokes equations at high Reynolds number $\…
Dynamics near the subcritical transition of the 3D Couette flow I: Below threshold case
Jacob Bedrossian, Pierre Germain, Nader Masmoudi
We study small disturbances to the periodic, plane Couette flow in the 3D incompressible Navier-Stokes equations at high Reynolds number . We prove that for sufficient…
Invariant measures for passive scalars in the small noise inviscid limit
Jacob Bedrossian, Michele Coti Zelati, Nathan Glatt-Holtz
We consider a class of invariant measures for a passive scalar driven by an incompressible velocity field , on a -dimensional periodic domain, satisfying $$…