Elliptical instabilities of stratified, hydromagnetic waves

References

• Acheson , D. J. 1973 . “Hydromagnetic wavelike instabilities in a rapidly rotating stratified fluid” . J. Fluid Mech. , 61 : 609 – 624 .
   Web of Science ®Google Scholar
• Acheson , D. J. 1978 . “Magnetohydrodynamic waves and instabilities in rotating fluids” . In Rotating Fluids in Geophysics , Edited by: Roberts , P. H. and Soward , A. M. 315 – 349 . London : Academic Press .
   Google Scholar
• Acheson , D. J. 1983 . “Local analysis of thermal and magnetic instabilities in a rapidly rotating fluid” . Geophys. Astrophys. Fluid Dynam. , 27 : 123 – 136 .
   Web of Science ®Google Scholar
• Bayly , B. J. 1986 . “Three dimensional instability of elliptical flow” . Phys. Rev. Lett. , 57 : 2160 – 2163 .
   PubMed Web of Science ®Google Scholar
• Braginsky , S. I. 1991 . “Towards a realistic theory of the geodynamo” . Geophys. Astrophys. Fluid Dynam. , 60 : 89 – 134 .
   Web of Science ®Google Scholar
• Brazell , L. 1987 . “The instability of an elliptical flow in the presence of a magnetic field” W.H.O.I.G.F.D. Fellow's report
   Google Scholar
• Craik , A. D. D. 1988 . “A class of exact solutions in viscous incompressible magnetohydrodynamics” . Proc. R. Soc. Land. A , 417 : 235 – 244 .
   Web of Science ®Google Scholar
• Craik , A. D. D. 1989 . “The stability of unbounded two- and three-dimensional flows subject to body forces: some exact solutions” . J. Fluid Mech. , 198 : 275 – 292 .
   Web of Science ®Google Scholar
• Fearn , D. R. 1984 . “Hydromagnetic waves in a differentially rotating annulus II. Resistive Instabilities” . Geophys. Astrophys. Fluid Dynam. , 30 : 227 – 239 .
   Web of Science ®Google Scholar
• Fearn , D. R. 1988 . “Instabilities of toroidal magnetic fields” . In Structure and Dynamics of the Earth's Deep Interior , Edited by: Smylie , D. E. and Hide , R. 129 – 133 . A.G.U. .
   Google Scholar
• Friedlander , S. and Siegmann , W. L. 1982a . “Internal waves in a contained rotating stratified fluid” . J. Fluid Mech. , 114 : 123 – 156 .
   Web of Science ®Google Scholar
• Friedlander , S. and Siegmann , W. L. 1982b . “Internal waves in a rotating stratified fluid in an arbitrary gravitational field” . Geophys. Astrophys. Fluid Dynam. , 19 : 267 – 291 .
   Web of Science ®Google Scholar
• Greenspan , H. P. 1968 . The Theory of Rotating Fluids , Cambridge : Cambridge University Press . reprinted Breukelen Press, Brookline (1990)
   Google Scholar
• Landman , M. and Saffman , P. 1987 . “The three-dimensional instability of strained vortices in a viscous fluid” . Phys. Fluids , 30 : 2339
   Web of Science ®Google Scholar
• Malkus , W. V. R. 1967 . “Hydromagnetic planetary waves” . J. Fluid Mech. , 28 : 793 – 802 .
   Web of Science ®Google Scholar
• Malkus , W. V. R. 1989 . “An experimental study of global instabilities due to tidal (elliptical) distortion of a rotating elastic cylinder” . Geophys. Astrophys. Fluid Dynam. , 48 : 123 – 134 .
   Web of Science ®Google Scholar
• Pierrehumbert , R. T. 1986 . “Universal short-wave instability of 2-dimensional eddies in an inviscid fluid” . Phys. Rev. Lett. , 57 : 2157 – 2159 .
   PubMed Web of Science ®Google Scholar
• Roberts , P. H. 1988 . “Future of Geodynamo theory” . Geophys. Astrophys. Fluid Dynam. , 44 : 3 – 31 .
   Web of Science ®Google Scholar
• Roberts , P. H. and Loper , D. E. 1979 . “On the diffusive instability of some simple steady magnetohydrodynamic flows” . J. Fluid Mech. , 90 : 641 – 668 .
   Web of Science ®Google Scholar
• Soward , A. M. 1979 . “Thermal and magnetically driven convection in a rapidly rotating fluid layer” . J. Fluid Mech. , 90 : 669 – 684 .
   Web of Science ®Google Scholar
• Suess , S. T. 1971 . “Viscous flow in a deformable rotating container” . J. Fluid Mech. , 45 : 189 – 201 .
   Web of Science ®Google Scholar
• Waleffe , F. A. 1989 . “The 3D instability of a strained vortex and its relation to turbulence” , Ph.D. Thesis M.I.T. .
   Google Scholar
• Waleffe , F. A. 1990 . “On the three-dimensional instability of a strained vortex” . Phys. Fluids A , 2 ( 1 ) : 76 – 80 .
   Web of Science ®Google Scholar