Anomalous dissipation and energy cascade in 3D inviscid flows
Analysis of PDEs
2015-05-27 v3 Mathematical Physics
math.MP
Fluid Dynamics
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.
Keywords
Cite
@article{arxiv.1102.1951,
title = {Anomalous dissipation and energy cascade in 3D inviscid flows},
author = {Radu Dascaliuc and Zoran Grujić},
journal= {arXiv preprint arXiv:1102.1951},
year = {2015}
}
Comments
14 pages, 1 figure, accepted to Comm. Math. Phys