Title: Confined Vortex Surface and Irreversibility (slides)

Speaker: Alexander (Sasha) Migdal (NYU)

Time: 14:00-14:35 (GMT+0), 2021.08.13

Abstract:

We introduce the concept of CVS (confined vortex surface). This is a vortex surface satisfying the stability conditions, which we derive from the NS equations. These conditions include the requirement that the tangent velocity gap is a null vector of the strain tensor. Another requirement is the negative normal component of this strain. The enstrophy is conserved in the turbulent limit in the NS equations on these vortex surfaces. We find and investigate the exact solutions of the Euler equations for CVS, depending on the two eigenvalues of the background strain. This background strain is distributed as a Gaussian random matrix, which leads to a calculable distribution for enstrophy and other observables. The talk is addressed to theoretical physicists and mathematicians who are still interested in solving this ancient problem of turbulence.