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Solutions of Vlasov-Maxwell equations for a magnetically confined relativistic cold plasma. (English) Zbl 0653.76075

Special representation of the distribution function is employed to obtain new solutions of the coupled Vlasov-Maxwell equations. This approach combines two modes of description used in plasma physics: magnetohydrodynamics and the theory of orbits. Using this method, we described plasma configurations confined in one and two directions in space, with plane and cylindrical symmetry, respectively.

MSC:

76X05 Ionized gas flow in electromagnetic fields; plasmic flow
82D10 Statistical mechanics of plasmas
35Q99 Partial differential equations of mathematical physics and other areas of application
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
Full Text: DOI

References:

[1] Longmire, C. L., Elementary Plasma Physics (1963), Interscience: Interscience New York, chap. 5 · Zbl 0121.23004
[2] Mjolsness, R. C., Phys. Fluids, 6, 1730 (1963)
[3] Marx, K. D., Phys. Fluids, 11, 357 (1968)
[4] Benford, G.; Book, D. L., (Simon, A.; Thompson, W. B., Advances in Plasma Physics (1971), Interscience: Interscience New York)
[5] Peter, W.; Ron, A.; Rostoker, N., Phys. Fluids, 22, 1471 (1979) · Zbl 0409.76098
[6] Silin, V. P., Introduction into Kinetic Theory of Gases, ((1971), Nauka: Nauka Moscow), 119, (in Russian)
[7] Davidson, R. C., Theory of Nonneutral Plasmas (1974), Benjamin: Benjamin Reading, chap. 1
[8] Abramovitz, M.; Stegun, I., Handbook of Mathematical Functions, ((1970), Dover: Dover New York), 589
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