Bounds on the attractor dimension for low-Rm wall-bound magnetohydrodynamic turbulence

DOI10.1063/1.2391841zbMath1146.76504arXiv2006.03881OpenAlexW3101640405MaRDI QIDQ3531803

A. Pothérat, Thierry Alboussière

Publication date: 3 November 2008

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.03881

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (2)

Spectral methods based on the least dissipative modes for wall bounded MHD flows ⋮ Direct numerical simulations of low-Rm MHD turbulence based on the least dissipative modes

Cites Work

• On the dimension of the attractors in two-dimensional turbulence
• Log-corrected energy spectrum and dimension of attractor in two-dimensional turbulence
• A model for the turbulent Hartmann layer
• Small scales and anisotropy in low Rm magnetohydrodynamic turbulence
• Visual analysis of two-dimensional magnetohydrodynamics
• Determining modes and fractal dimension of turbulent flows
• Why, how, and when, MHD turbulence becomes two-dimensional
• An effective two-dimensional model for MHD flows with transverse magnetic field
• Numerical study of the instability of the Hartmann layer
• Applied Analysis of the Navier-Stokes Equations
• Numerical simulations of an effective two-dimensional model for flows with a transverse magnetic field
• ON THE COMPLETENESS OF THE EIGENFUNCTIONS OF SOME CLASSES OF NON-SELFADJOINT LINEAR OPERATORS
• Damping rate of magnetohydrodynamic vortices at low magnetic Reynolds number

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