1999•Journal of Physics A Mathematical and GeneralOpen access

Attractors of magnetohydrodynamic flows in an Alfvénic state

Manuel Nunez Manzano, Javier Sanz

Abstract

We present a simplified form of the magnetohydrodynamic system which describes the evolution of a plasma where the small-scale velocity and magnetic field are aligned in the form of Alfvén waves, such as happens in several turbulent situations. Bounds on the dimension of the global attractor are found, and are shown to be an improvement of the standard ones for the full magnetohydrodynamic equations.

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Key concepts: Magnetohydrodynamic drive, Attractor, Magnetohydrodynamic turbulence, Physics, Magnetohydrodynamics, Magnetic field, Turbulence, Dimension (graph theory)