Breaking of two-dimensional relativistic electron oscillations under small deviations from axial symmetry |
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Authors: | A A Frolov E V Chizhonkov |
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Institution: | 1.Joint Institute for High Temperatures,Russian Academy of Sciences,Moscow,Russia;2.Faculty of Mechanics and Mathematics,Moscow State University,Moscow,Russia |
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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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