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Title:
A Sufficient Condition for Instability in a Sheared Incompressible Magnetofluid
Authors:
Cally, P. S.
Affiliation:
AA(Department of Mathematics and Statistics, Monash University, Clayton, Victoria 3800, Australia, and High Altitude Observatory, National Center for Atmospheric Research, P.O. Box 3000, Boulder, CO 80307, U.S.A. ())
Publication:
Solar Physics, v. 194, Issue 2, p. 189-196 (2000). (SoPh Homepage)
Publication Date:
06/2000
Origin:
KLUWER
Bibliographic Code:
2000SoPh..194..189C

Abstract

It is shown that a sufficient condition for the stability of an incompressible sheared gravitationally stratified ideal magnetofluid with flow-aligned horizontal magnetic field is that there exists a Galilean frame in which the flow is nowhere super-Alfvénic (similarly, stability is assured in a compressible shear flow without gravity if there exists a frame in which the flow nowhere exceeds the cusp speed). Complex eigenvalue bounds are presented for unstable flows. The stability condition is applied to the solar tachocline; it suggests that any shear instabilities associated with radial gradients in flow speed should be stabilized by fields of above about 7 kG.
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