Special Session 66: 

Instantaneous vortex-stretching and anomalous dissipation on the 3D Euler equations

Tsuyoshi Yoneda
University of Tokyo
Japan
Co-Author(s):    
Abstract:
By DNS of Navier-Stokes turbulence, Goto-Saito-Kawahara (2017) showed that the turbulence consists of a self-similar hierarchy of anti-parallel pairs of vortex tubes, in particular, stretching in larger-scale strain fields create smaller-scale vortices. Inspired by their numerical result, in this talk, we give a typical example of instantaneous vortex-stretching Euler flow, and suggest that it may be related to ``anomalous dissipation" which is closely related to the famous Onsager conjecture.