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On the one- and one-half-dimensional relativistic Vlasov-Fokker-Planck-Maxwell system

✍ Scribed by Raymond Lai

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
811 KB
Volume
18
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper, we study the relativistic Vlasov‐Fokker‐Planck‐Maxwell system in one space variable and two momentum variables. This non‐linear system of equations consists of a transport equation for the phase space distribution function combined with Maxwell's equations for the electric and magnetic fields. It is important in modelling distribution of charged particles in the kinetic theory of plasma. We prove the existence of a classical solution when the initial density decays fast enough with respect to the momentum variables. The solution which shares this same decay condition along with its first derivatives in the momentum variables is unique.

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