Phenomenologies of intermittent Hall MHD turbulence

DOI10.3934/dcdsb.2021285zbMath1496.35312arXiv2012.10781OpenAlexW4205958579MaRDI QIDQ2169015

Mimi Dai

Publication date: 29 August 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.10781

zbMATH Keywords

energy spectrummagnetohydrodynamicsintermittencyHall effectdissipation wavenumber

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fundamentals of turbulence (76F02)

Cites Work

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• On the Cauchy problem for the Hall and electron magnetohydrodynamic equations without resistivity I: Illposedness near degenerate stationary solutions
• Regularity of the \(3D\) stationary Hall magnetohydrodynamic equations on the plane
• On the weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations
• On the temporal decay for the Hall-magnetohydrodynamic equations
• Weak solutions of ideal MHD which do not conserve magnetic helicity
• Critical balance in magnetohydrodynamic, rotating and stratified turbulence: towards a universal scaling conjecture
• Some specific features of atmospheric tubulence
• A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
• Nonunique Weak Solutions in Leray--Hopf Class for the Three-Dimensional Hall-MHD System
• Kolmogorov's dissipation number and the number of degrees of freedom for the 3D Navier–Stokes equations
• Euler Equations and Turbulence: Analytical Approach to Intermittency
• The multifractal nature of turbulent energy dissipation
• The Hydromagnetic Equations

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