Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

A variational principle for surface waves in magnetohydrodynamics


Author: Bhimsen K. Shivamoggi
Journal: Quart. Appl. Math. 41 (1983), 31-33
MSC: Primary 76W05; Secondary 49H05
DOI: https://doi.org/10.1090/qam/720366
MathSciNet review: 720366
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Abstract: A variational principle for the motion of the interface between an infinitely conducting fluid and a vacuum magnetic field is given. This variational principle not only gives the Laplace equation governing the velocity potential and the magnetic-field potential, but also provides all the boundary conditions appropriate to the interface between an infinitely conducting fluid and a vacuum magnetic field. However, unlike the hydrodynamical case, this variational principle does not have the simple physical interpretation of the stationarity of the fluid pressure + magnetic field pressure.


References [Enhancements On Off] (What's this?)

  • [1] H. Bateman, Partial differential equations, Cambridge Univ. Press, 1944 MR 0009686
  • [2] L. Debnath, Plasma Phys. 19, 263 (1977)
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  • [4] J. C. Luke, J. Fluid Mech. 27, 395 (1967) MR 0210376
  • [5] B. K. Shivamoggi, J. Plasma Phys., 27, 321 (1982)

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Additional Information

DOI: https://doi.org/10.1090/qam/720366
Article copyright: © Copyright 1983 American Mathematical Society

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