Speaker
Jincheng Yang
(Johns Hopkins University)
Description
Co-author: Alexis Vasseur
Abstract: I will discuss several recent results on vanishing-viscosity limits for incompressible Navier-Stokes flows near boundaries. I will begin with boundary vorticity estimates and their application to weak inviscid limits near plug flow in a periodic tunnel, giving short-time control of deviations from the shear profile. I will then present unconditional $L^2$ bounds on boundary layer separation between Leray-Hopf Navier-Stokes solutions and smooth Euler flows in bounded domains. Finally, I will discuss joint work on non-characteristic boundaries, where one can quantify energy dissipation and enstrophy production near outflow in terms of the boundary mismatch between Navier-Stokes and Euler flows.