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Original Articles

Magnetic instabilities in rapidly rotating spherical geometries II. more realistic fields and resistive instabilities

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Pages 275-294 | Received 21 Dec 1990, Published online: 19 Aug 2006

References

  • Acheson , D. J. 1973 . Hydromagnetic wavelike instabilities in a rapidly rotating stratified fluid . J. Fluid Mech. , 61 : 609 – 624 .
  • 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 .
  • Acheson , D. J. 1983 . Local analysis of thermal and magnetic instabilities in a rapidly rotating fluid . Geophys. Astrophys. Fluid Dynam. , 27 : 123 – 136 .
  • Bateman , G. 1978 . MED Instabilities , Cambridge, Massachusetts : MIT Press .
  • Fearn , D. R. 1979a . Thermally driven hydromagnetic convection in a rapidly rotating sphere . Proc. R. Soc. Lond. , A369 : 227 – 242 .
  • Fearn , D. R. 1979b . Thermal and magnetic instabilities in a rapidly rotating fluid sphere . Geophys. Astrophys. Fluid Dynam. , 14 : 103 – 126 .
  • Fearn , D. R. 1983 . Hydromagnetic waves in a differentially rotating annulus I. A test of local stability analysis . Geophys. Astrophys. Fluid Dynam. , 27 : 137 – 162 .
  • Fearn , D. R. 1984 . Hydromagnetic waves in a differentially rotating annulus II. Resistive instabilities . Geophys. Astrophys. Dynam. , 30 : 227 – 239 .
  • Fearn , D. R. 1985 . Hydromagnetic waves in a differentially rotating annulus III. The effect of an axial field . Geophys. Astrophys. Fluid Dynam. , 33 : 185 – 197 .
  • Fearn , D. R. 1988a . Hydromagnetic waves in a differentially rotating annulus IV. Insulating boundaries . Geophys. Astrophys. Fluid Dynam. , 44 : 55 – 75 .
  • Fearn , D. R. 1988b . “ Instabilities of toroidal magnetic fields. ” . In Structure and Dynamics of Earth's Deep Interior , Edited by: Smylie , D. E. and Hide , R. 129 – 133 . Washington : AGU .
  • Fearn , D. R. and Proctor , M. R. E. 1983 . Hydromagnetic waves in a differentially rotating sphere . J. Fluid Mech. , 128 : 1 – 20 .
  • Fearn , D. R. , Roberts , P. H. and Soward , A. M. 1987 . “ Convection, stability and the dynamo. ” . In Energy, Stability and Convection Edited by: Straughan , B. and Galdi , P. 60 – 324 . Longman
  • Fearn , D. R. and Weiglhofer , W. S. 1991a . Magnetic instabilities in rapidly rotating spherical geometries I. From cylinders to spheres . Geophys. Astrophys. Fluid Dynam. , 56 : 159 – 181 .
  • Fearn , D. R. and Weiglhofer , W. S. 1991b . Resistive instability and the magnetostrophic approximation . to appear
  • Friedlander , S. 1987 . Hydromagnetic waves in the Earth's fluid core . Geophys. Astrophys. Fluid Dynam. , 39 : 315 – 337 .
  • Friedlander , S. 1989 . Hydromagnetic waves in a differentially rotating stratified spherical shell . Geophys. Astrophys. Fluid Dynam. , 48 : 53 – 67 .
  • Gilman , P. A. 1983 . Dynamically consistent nonlinear dynamos driven by convection in a rotating spherical shell ii. Dynamos with cycles and strong feedbacks . Astrophys. J. Suppl. , 53 : 243 – 268 .
  • Gilman , P. A. and Miller , J. 1981 . Dynamically consistent nonlinear dynamos driven by convection in a rotating spherical shell . Astrophys. J. Suppl. , 46 : 211 – 238 .
  • Glatzmaier , G. A. 1984 . Numerical simulations of stellar convective dynamos I. The model and method . J. Comp. Phys. , 55 : 461 – 484 .
  • Glatzmaier , G. A. 1985a . Numerical simulations of stellar convective dynamos II. Field propagation in the convection zone . Astrophys. J. , 291 : 300 – 307 .
  • Glatzmaier , G. A. 1985b . Numerical simulations of stellar convective dynamos III. At the base of the convection zone . Geophys. Astrophys. Fluid Dynam. , 31 : 137 – 150 .
  • Glatzmaier , G. A. 1985c . Magnetic field propagation in a stellar dynamo . J. Stat. Phys. , 39 : 493 – 499 .
  • Kuang , W. and Roberts , P. H. 1990 . Resistive instabilities in rapidly rotating fluids: Linear theory of the tearing mode . Geophys. Astrophys. Fluid Dynam. , 53 : 199 – 239 .
  • Roberts , P. H. 1988 . Future of geodynamo theory . Geophys. Astrophys. Fluid Dynam. , 44 : 3 – 31 .
  • Wesson , J. A. 1978 . Hydromagnetic stability of tokamaks . Nuclear Fusion , 18 : 87 – 132 .

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