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Matematicheskie Zametki, 2015, Volume 98, Issue 3, Pages 386–392
DOI: https://doi.org/10.4213/mzm10816 (Mi mzm10816) 		 
This article is cited in 3 scientific papers (total in 3 papers)

An Exact Solution of the Space Charge Problem for the Motion of a Spherically Symmetric Beam in a Homogeneous Electric Field

E. E. Perepelkina, N. P. Repnikovaa, N. G. Inozemtsevab

a Lomonosov Moscow State University
b Dubna International University for Nature, Society, and Man
Full-text PDF (420 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm10816
Abstract: We obtain an exact solution of the space charge problem for a uniformly charged ball moving in an exterior constant homogeneous electric field. The results obtained can be used as tests in the numerical simulation of the effect of a space charge of actual beams and for estimating the accuracy of the numerical methods used in the solution of the space charge problem.
Keywords: space charge problem, motion of a spherically symmetric beam (ball), homogeneous electric field, Newton's second law, Cauchy problem, Gauss's theorem.
Received: 25.12.2014
English version:
Mathematical Notes, 2015, Volume 98, Issue 3, Pages 448–453
DOI: https://doi.org/10.1134/S0001434615090102
Bibliographic databases:
Document Type: Article
UDC: 519.62+517.958
Language: Russian
Citation: E. E. Perepelkin, N. P. Repnikova, N. G. Inozemtseva, “An Exact Solution of the Space Charge Problem for the Motion of a Spherically Symmetric Beam in a Homogeneous Electric Field”, Mat. Zametki, 98:3 (2015), 386–392; Math. Notes, 98:3 (2015), 448–453
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm10816
  • https://www.mathnet.ru/eng/mzm/v98/i3/p386
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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