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 |
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 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.