4 papers
Linear decay of the beta-plane equation near Couette flow on the plane
Jacob Bedrossian, Patrick Flynn, Sameer Iyer
We prove new time decay estimates for the linearized -plane equation near the Couette flow on the plane that combine inviscid damping and the dispersion of Rossby waves. Specifi…
Stability threshold of close-to-Couette shear flows with no-slip boundary conditions in 2D
Jacob Bedrossian, Siming He, Sameer Iyer +2
In this paper, we develop a stability threshold theorem for the 2D incompressible Navier-Stokes equations on the channel, supplemented with the no-slip boundary condition. The init…
Uniform Inviscid Damping and Inviscid Limit of the 2D Navier-Stokes equation with Navier Boundary Conditions
Jacob Bedrossian, Siming He, Sameer Iyer +1
We consider the 2D, incompressible Navier-Stokes equations near the Couette flow, , set on the channel , supplemented with Navier boun…
Pseudo-Gevrey Smoothing for the Passive Scalar Equations near Couette
Jacob Bedrossian, Siming He, Sameer Iyer +1
In this article, we study the regularity theory for two linear equations that are important in fluid dynamics: the passive scalar equation for (time-varying) shear flows close to C…