Four-fifths laws in electron and Hall magnetohydrodynamic fluids: Energy, Magnetic helicity and Generalized helicity

2024/04/10 by Wang, Yanqing, Ye, Yulin, Chkhetiani, Otto
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Plasma Physics (physics.plasm-ph)

paper · doi:10.48550/arxiv.2404.07047

Abstract

This paper examines the Kolmogorov type laws of conserved quantities in the electron and Hall magnetohydrodynamic fluids. Inspired by Eyink's longitudinal structure functions and recent progress in classical MHD equations, we derive four-fifths laws for energy, magnetic helicity and generalized helicity in these systems.

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