Special Session 92: 

Energy equality for the Navier-Stokes equations in weak-in-time Onsager spaces

Alexey Cheskidov
University of Illinois at Chicago
USA
Co-Author(s):    Xiaoyutao Luo
Abstract:
Onsager's conjecture for 3D Navier-Stokes equations concerns the validity of energy equality of weak solutions with regards to their smoothness. We establish energy equality for weak solutions in a large class of function spaces. These conditions are weak-in-time with optimal space regularity and therefore weaker than all previous classical results. Heuristics using intermittency argument suggests the possible sharpness of our results.