Decay in Time for a One-Dimensional Two-Component Plasma

Details Decay in Time for a One-Dimensional Two-Component Plasma Decay in Time for a One-Dimensional Two-Component Plasma

2010-02-26

arxiv.org/abs/1002.4925v1

Math. Meth. Appl. Sci. 31: 2115-2132, 2008

Mathematics

Analysis of PDEs

17 pages, no figures

Scientific paper

The motion of a collisionless plasma is described by the Vlasov-Poisson
system, or in the presence of large velocities, the relativistic Vlasov-Poisson
system. Both systems are considered in one space and one momentum dimension,
with two species of oppositely charged particles. A new identity is derived for
both systems and is used to study the behavior of solutions for large times.

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