Energy Cascades in Physical Scales of 3D Incompressible Magnetohydrodynamic Turbulence

Abstract

The existence of a total energy cascade and the scale-locality of the total energy flux are rigorously established working directly from the 3D MHD equations and under assumptions consistent with physical properties of turbulent plasmas. Secondary results are included identifying scenarios where inertial effects on specific energies effect cascade-like behavior as well as a scenario in which the inter-field energy transfer is predominantly from the fluid to the magnetic field.

expanded and rewrote the introduction; to appear in JMP

References in corpus (6)

• Strong Imbalanced Turbulence
• Current sheet formation and non-ideal behaviour at three-dimensional magnetic null points
• Basic Properties of MHD Turbulence in the Inertial Range
• Energy cascades and flux locality in physical scales of the 3D Navier-Stokes equations
• Coherent vortex structures and 3D enstrophy cascade
• Anomalous dissipation and energy cascade in 3D inviscid flows

Cited by in corpus (2)

• Continuous data assimilation for the magnetohydrodynamic equations in 2D using one component of the velocity and magnetic fields
• On the Well-posedness of Magnetohydrodynamics Equations for Incompressible Electrically-Conducting Fluids