On modeling of nonrelativistic cylindrical oscillations in plasma

Authors

  • L.M. Gorbunov
  • A.A. Frolov
  • E.V. Chizhonkov

Keywords:

плазменные колебания
кильватерные волны
метод конечных разностей
метод возмущений
уравнения в частных производных

Abstract

In order to study the nonrelativistic cylindrical oscillations in plasma, an initial boundary value problem for a system of nonlinear partial differential equations is formulated. Approximate solutions to this problem are constructed on the basis of a finite-difference method and the numerical analytic perturbation techniques. It is found that the destruction of plasma oscillations is qualitatively similar to the plasma wakefield destruction. The asymptotic lower and upper estimates obtained for the time instant of oscillation destruction are in good agreement with the well-known results.

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Published

2008-03-04

Issue

Vol. 9 (2008): Issue 1.

Section

Section 1. Numerical methods and applications

Author Biographies

L.M. Gorbunov

Lebedev Physical Institute of RAS (LPI RAS)

A.A. Frolov

Joint Institute for High Temperatures of RAS (JIHT RAS)

E.V. Chizhonkov

Lomonosov Moscow State University,
Faculty of Mechanics and Mathematics

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