Linearized Navier Stokes equations at high Reynolds numbers: A unified approach to inviscid damping, vorticity depletion and enhanced dissipation

Abstract

In this article, we give an introduction to asymptotic stability in two dimensional incompressible flows, and a non-technical overview of the recent proof of uniform-in-viscosity inviscid damping and vorticity depletion near periodic shear flows on a non-square torus.