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On some exact solutions in magnetohydrodynamics with astrophysical applications

Published online by Cambridge University Press:  29 March 2006

C. Sozou
C. Sozou
Affiliation:
Department of Applied Mathematics & Computing Science, The University, Sheffield
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Abstract

Some exact solutions of the steady magnetohydrodynamic equations for a perfectly conducting inviscid self-gravitating incompressible fluid are discussed. It is shown that there exist solutions for which the free surface of the liquid is that of a planetary ellipsoid and rotates with constant angular velocity about its axis. The stability of the equilibrium configuration is not investigated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 51 , Issue 1 , 11 January 1972 , pp. 33 - 38
Copyright
© 1972 Cambridge University Press

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References

Chandrasekhar, S. 1956a Proc. Natn. Acad. Sci. U.S.A. 42, 1.
Chandrasekhar, S. 1956b Proc. Natn. Acad. Sci. U.S.A. 42, 273.
Chandrasekhar, S. 1956c Astro. phys. J. 124, 232.
Chandrasekhar, S. 1969 Ellipsoidal Figures of Equilibrium. New Haven : Yale University Press.
Erdélyi, A. (ed.) 1955 Higher Transcendental Functions, vol. 3. McGraw-Hill.
Ferraro, V. C. A. 1954 Astrophys. J. 119, 407.
Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
Lüst, R. & Schlüter, A. 1954 2. Astrophys. 34, 263.
Prendergast, K. H. 1956 Astrophys. J. 123, 498.
Ranger, K. B. 1970 J. Fluid Mech. 44, 481.
Roberts, P. H. 1955 Astrophys. J. 122, 508.