Enhanced dissipation in the Navier-Stokes equations near the Poiseuille flow

Michele Coti Zelati, Tarek M. Elgindi, Klaus Widmayer

We consider solutions to the 2d Navier-Stokes equations on $\mathbb{T}\times \mathbb{R}$ close to the Poiseuille flow, with small viscosity $\nu >0$. Our first result concerns a semigr…