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The Quarterly Journal of Mechanics and Applied Mathematics 1981 34(3):327-343; doi:10.1093/qjmam/34.3.327
© 1981 by Oxford University Press
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EQUILIBRIA AND STABILITY OF A FLUID TYPE II SUPERCONDUCTOR

P. H. ROBERTS{dagger}

( NORDITA Copenhagen )

{dagger}Permanent address: School of Mathematics, University of Newcastle upon Tyne

The linear stability theory of magnetostatic equilibria in general magnetic media is developed in analogy with the corresponding theory of Bernstein, Frieman, Kruskal and Kulsrud (1), but by a different méthod which makes use of a Cauchy stress tensor analogous to that defined for a general elastic material. The self-adjointness of the stability theory is established by a new method. Application is made to fluids that are type II superconductors. Two-dimensional and axisymmetric magnetostatic equilibria are found. It is shown that the state of uniform density, entropy and magnetic field is unstable.


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