Dissipation anomaly and energy cascade in 3D incompressible flows

TL;DR

This paper provides mathematical evidence of dissipation anomaly in 3D turbulent flows, supporting the understanding of energy cascade phenomena in incompressible turbulence.

Contribution

It introduces a general framework for analyzing energy cascade and dissipation anomaly in 3D incompressible flows, advancing theoretical understanding.

Findings

Mathematical proof of dissipation anomaly in 3D turbulence

Framework for studying energy cascade in physical scales

Supports the existence of dissipation anomaly in theoretical models

Abstract

The purpose of this note is to present a mathematical evidence of dissipation anomaly in 3D turbulent flows within a general setting for the study of energy cascade in physical scales of 3D incompressible flows recently introduced by the authors.