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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 11, Pages 1844–1859
DOI: https://doi.org/10.7868/S0044466917110060 (Mi zvmmf10640) 		 
Breaking of two-dimensional relativistic electron oscillations under small deviations from axial symmetry

A. A. Frolova, E. V. Chizhonkovb

a Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow, Russia
b Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia
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DOI: https://doi.org/10.7868/S0044466917110060
Abstract: A numerical asymptotic model for the breaking of two-dimensional plane relativistic electron oscillations under a small deviation from axial symmetry is developed. The asymptotic theory makes use of the construction of time-uniformly applicable solutions to weakly nonlinear equations. A special finite-difference algorithm on staggered grids is used for numerical simulation. The numerical solutions of axially symmetric one-dimensional relativistic problems yield two-sided estimates for the breaking time. Some of the computations were performed on the “Chebyshev” supercomputer (Moscow State University).
Key words: numerical simulation, plasma oscillations, breaking effect, finite-difference method, perturbation method.
Received: 05.12.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 11, Pages 1808–1821
DOI: https://doi.org/10.1134/S0965542517110069
Bibliographic databases:
Document Type: Article
UDC: 519.633.6
Language: Russian
Citation: A. A. Frolov, E. V. Chizhonkov, “Breaking of two-dimensional relativistic electron oscillations under small deviations from axial symmetry”, Zh. Vychisl. Mat. Mat. Fiz., 57:11 (2017), 1844–1859; Comput. Math. Math. Phys., 57:11 (2017), 1808–1821
Citation in format AMSBIB
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