摘要

The one-dimensional Vlasov-Poisson system is considered and a particle method is developed to approximate solutions without compact support which tend to a fixed background of charge as vertical bar x vertical bar -> infinity. Such a system of equations can be used to model kinetic phenomena occurring in plasma physics. A localized particle method is constructed and implemented using the fact that solutions to the Vlasov-Poisson system propagate at finite speeds. Finally, the numerical method is utilized to ascertain information regarding the time asymptotics of the generated electrostatic field.

  • 出版日期2012-3

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