Calculus of Variations and Geometric Measure Theory

E. Bruè - C. De Lellis

Anomalous dissipation for the forced 3D Navier-Stokes equations

created by bruè on 13 Jul 2022
modified on 15 Jul 2022

[BibTeX]

Preprint

Inserted: 13 jul 2022
Last Updated: 15 jul 2022

Year: 2022

Abstract:

In this paper, we consider the forced incompressible Navier-Stokes equations with vanishing viscosity on the three-dimensional torus. We show that there are (classical) solutions for which the dissipation rate of the kinetic energy is bounded away from zero, uniformly in the viscosity parameter, while the body forces are uniformly bounded in some reasonable regularity class.


Download: