Young Researchers Workshop: Ki-Net 2012-2019

Inviscid limit and 2d turbulence

Theodore Drivas

Princeton University

Abstract:

The high Reynolds number limit, or "inviscid limit" is a basic question of fluid mechanics. In a smooth Euler regime without solid boundary, it is well known that solutions of Navier-Stokes equations converge to solutions of Euler equations. In non-smooth regimes, such a result is not generally known. I will present a result of global unconditional strong limit in the non-smooth Yudovich class in 2d. A consequence is that vorticity distribution functions converge to their inviscid counterparts. This provides a partial foundation for the Miller–Robert statistical equilibrium theory of vortices as it applies to slightly viscous fluids.