A new model is suggested to investigate the influence of a beam charge on the evolution of the charge-density distribution function. The spherically symmetric charge-density distribution of a beam acting on an external homogeneous constant electric field is considered. A new nonlinear boundary problem that takes the influence of a beam’s electric field on the evolution of the charge-density distribution function into account is formulated. The solutions of such a problem can be used as tests in calculation methods that are applied in practice.
47.11.-j Computational methods in fluid dynamics
41.20.-q Applied classical electromagnetism
$^1$Department of Physics, Moscow State University, Moscow, 119991, Russia
$^2$Dubna International University for Nature, Society, and Man, Dubna, 141980, Russia
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