On the instability of magnetohydrodynamic shear flows

Authors
Hughes, DW Tobias, SM
Citation
Dw. Hughes et Sm. Tobias, On the instability of magnetohydrodynamic shear flows, P ROY SOC A, 457(2010), 2001, pp. 1365-1384
Citations number
29
Categorie Soggetti
Multidisciplinary
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
ISSN journal
13645021 → ACNP
Volume
457
Issue
2010
Year of publication
2001
Pages
1365 - 1384
Database
ISI
SICI code
1364-5021(20010608)457:2010<1365:OTIOMS>2.0.ZU;2-B
Abstract
We consider the linear stability of an ideal, plane-parallel magnetohydrody namic shear flow with velocity u = (U(z),0,0) and magnetic field B = (B(z), 0,0). We show how Howard's semicircle theorem is modified by the presence o f a magnetic field and how this leads to new sufficient conditions for the stability of the how. The issue of how tight, these stability bounds actual ly are is addressed, by numerical computation, for one particular shear flo w.