Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-23T21:21:30.290Z Has data issue: false hasContentIssue false

Excitation of surface waves in magnetohydrodynamics

Published online by Cambridge University Press:  13 March 2009

Bhimsen K. Shivamoggi
Affiliation:
University of Central Florida, Orlando, Florida 32816, U.S.A.

Abstract

A study is made of the transient development of two-dimensional linearized surface waves generated by a localized steady pressure distribution on the interface between a uniformly streaming, semi-infinite, infinitely conducting plasma subjected to a gravitational field and the confining vacuum magnetic field. The linearized equations associated with an initial-value problem are used to obtain the large-time asymptotic behaviour of the disturbance in the far field.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1990

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Appert, K., Vaclavik, J. & Villard, L. 1984 Phys. Fluids, 27, 432.CrossRefGoogle Scholar
Chen, L. & Hasegawa, A. 1974 a J. Geophys. Res. 79, 1033.CrossRefGoogle Scholar
Chen, L. & Hasegawa, A. 1974 b Phys. Fluids, 17, 1399.CrossRefGoogle Scholar
Collins, G. A., Cramer, N. F. & Donnely, I. J. 1984 Plasma Phys. Contr. Fusion, 26, 273.CrossRefGoogle Scholar
Debnath, L. 1977 Plasma Phys. 19, 263.CrossRefGoogle Scholar
Gerwin, R. 1967 Phys. Fluids, 10, 2164.Google Scholar
Goldsworthy, F. S. 1961 J. Fluid Mech. 11, 519.CrossRefGoogle Scholar
Ionson, J. A. 1979 Astrophys. J. 226, 650.CrossRefGoogle Scholar
Kruskal, M. D. & Schwarzschild, M. 1954 Proc. R. Soc. Lond. A 223, 348.Google Scholar
Lamb, H. 1932 Hydrodynamics. Cambridge University Press.Google Scholar
Lighthill, M. J. 1960 Phil. Trans. B. Soc. Lond. A 252, 397.Google Scholar
Roberts, B. 1981 Solar Phys. 69, 27.CrossRefGoogle Scholar
Rosenbluth, M. N. & Longmire, C. L. 1957 Ann. Phys. (NY), 1, 120.Google Scholar
Savage, M. D. 1967 J. Plasma Phys. 1, 229.CrossRefGoogle Scholar
Savage, M. D. 1970 J. Fluid Mech. 42, 289.CrossRefGoogle Scholar
Shivamoggi, B. K. 1982 a J. Plasma Phys. 27, 321.CrossRefGoogle Scholar
Shivamoggi, B. K. 1982 b J. Plasma Phys. 28, 13.CrossRefGoogle Scholar
Shivamoggi, B. K. 1983 Q. Appl. Maths, 41, 31.CrossRefGoogle Scholar
Stoker, J. J. 1957 Water Waves. Interscience.Google Scholar
Wentzel, D. G. 1979 Astron. Astrophys. 76, 20.Google Scholar