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Geophysical & Astrophysical Fluid Dynamics Volume 49, 1989 - Issue 1-4: Earth's Core Boundary and Geodynamos
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Original Articles

Differential rotation and thermal convection in a rapidly rotating hydromagnetic system

David R. Fearn Department of Mathematics, University of Glasgow, University Gardens, Glasgow, G12 8QW, UK
Pages 173-193 | Received 19 Sep 1988, Accepted 15 Jan 1989, Published online: 27 Sep 2006

References

  • Acheson , D. J. 1973 . Hydromagnetic wavelike instabilities in a rapidly rotating stratified fluid . J. Fluid Mech. , 61 : 609 – 624 .
  • Acheson , D. J. 1979 . On magnetoconvection in a rotating fluid layer of high thermal conductivity . Astrophys. Space Sci. , 65 : 453 – 458 .
  • Acheson , D. J. 1983 . Local analysis of thermal and magnetic instabilities in a rapidly rotating fluid . Geophys. Astrophys. Fluid Dynam. , 27 : 123 – 136 .
  • Braginskiǐ , S. I. 1967 . Magnetic waves in the Earth's core . Geomag. Aeron. , 7 : 851 – 859 .
  • Braginskiǐ , S. I. 1980 . Magnetic waves in the core of the Earth. II . Geophys. Astrophys. Fluid Dynam. , 14 : 189 – 208 .
  • Fearn , D. R. 1979 . Thermal and magnetic instabilities in a rapidly rotating fluid sphere . Geophys. Astrophys. Fluid Dynam. , 14 : 103 – 126 .
  • Fearn , D. R. 1983a . Boundary conditions for a rapidly rotating hydromagnetic system in a cylindrical container . Geophys. Astrophys. Fluid Dynam. , 25 : 65 – 75 .
  • Fearn , D. R. 1983b . 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. Fluid 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. 1989 . Eigensolutions of boundary value problems using inverse iteration . J. Comp. Phys. , submitted
  • Fearn , D. R. and Proctor , M. R. E. 1983a . Hydromagnetic waves in a differentially rotating sphere . J. Fluid Mech. , 128 : 1 – 20 .
  • Fearn , D. R. and Proctor , M. R. E. 1983b . The stabilising role of differential rotation on hydromagnetic waves . J. Fluid Mech. , 128 : 21 – 36 .
  • Fearn , D. R. , Roberts , P. H. and Soward , A. M. 1988 . “ Convection, stability and the dynamo ” . In Energy, Stability and Convection , Edited by: Straughan , B. and Galdi , P. 60 – 324 . Harlow : Longmans . referred to as FRS in the text.
  • Roberts , P. H. and Loper , D. E. 1979 . On the diffusive instability of some simple steady magnetohydro-dynamic flows . J. Fluid Mech. , 90 : 641 – 668 .
  • Soward , A. M. 1979 . Thermal and magnetically driven convection in a rapidly rotating fluid layer . J. Fluid Mech. , 90 : 669 – 684 .

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