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

E. E. Perepelkin; N. P. Repnikova; N. G. Inozemtseva

Geodesic

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

E. E. Perepelkin ; N. P. Repnikova ; N. G. Inozemtseva

Matematičeskie zametki, Tome 98 (2015) no. 3, pp. 386-392

Voir la notice de l'article provenant de la source Math-Net.Ru

Résumé

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.

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     title = {An {Exact} {Solution} of the {Space} {Charge} {Problem} for the {Motion} of a {Spherically} {Symmetric} {Beam} in a {Homogeneous} {Electric} {Field}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {386--392},
     publisher = {mathdoc},
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     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_98_3_a6/}
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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. Matematičeskie zametki, Tome 98 (2015) no. 3, pp. 386-392. http://geodesic.mathdoc.fr/item/MZM_2015_98_3_a6/