Anomalous dissipation and energy cascade in 3D inviscid flows

Abstract

Adopting the setting for the study of existence and scale locality of the energy cascade in 3D viscous flows in physical space recently introduced by the authors to 3D inviscid flows, it is shown that the anomalous dissipation is -- in the case of decaying turbulence -- indeed capable of triggering the cascade which then continues ad infinitum, confirming Onsager's predictions.

14 pages, 1 figure, accepted to Comm. Math. Phys

References in corpus (2)

• The vanishing viscosity limit for a dyadic model
• Energy cascades and flux locality in physical scales of the 3D Navier-Stokes equations

Cited by in corpus (4)

• On the weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations
• Coherent vortex structures and 3D enstrophy cascade
• Energy Cascades in Physical Scales of 3D Incompressible Magnetohydrodynamic Turbulence
• On Maximum Enstrophy Dissipation in 2D Navier-Stokes Flows in the Limit of Vanishing Viscosity