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).
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Original Russian Text © A.A. Frolov, E.V. Chizhonkov, 2017, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2017, Vol. 57, No. 11, pp. 1844–1859.
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Frolov, A.A., Chizhonkov, E.V. Breaking of two-dimensional relativistic electron oscillations under small deviations from axial symmetry. Comput. Math. and Math. Phys. 57, 1808–1821 (2017). https://doi.org/10.1134/S0965542517110069
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DOI: https://doi.org/10.1134/S0965542517110069