A sufficient condition for the linear stability of magnetohydrodynamic equilibria with field aligned incompressible flows
G. N. Throumoulopoulos, H. Tasso
TL;DR
This paper derives a sufficient condition for the linear stability of three-dimensional magnetohydrodynamic equilibria with incompressible, field-aligned flows, linking magnetic and flow shear to stability.
Contribution
It introduces a new sufficient stability criterion for MHD equilibria with parallel incompressible flows, enhancing understanding of stability conditions.
Findings
Derived a stability condition involving magnetic and flow shear
Applicable to three-dimensional equilibria with parallel flows
Provides physically interpretable criteria for stability
Abstract
A sufficient condition for the linear stability of three dimensional equilibria with incompressible flows parallel to the magnetic field is derived. The condition involves physically interpretable terms related to the magnetic shear and the flow shear.
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Taxonomy
TopicsSolar and Space Plasma Dynamics · Fluid Dynamics and Turbulent Flows · Geomagnetism and Paleomagnetism Studies