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On the Vlasov-Poisson limit of the Vlasov-Maxwell equation. (English) Zbl 0623.35059
Pattern and waves. Qualitative analysis of nonlinear differential equations, Stud. Math. Appl. 18, 369-383 (1986).
[For the entire collection see Zbl 0604.00007.]
The Vlasov-Maxwell equation is shown to converge to the Vlasov-Poisson equation at the limit of the infinite light velocity. The initial layer and the asymptotic expansion of solutions as the light velocity tends to infinity are discussed in detail.

MSC:
35Q99 Partial differential equations of mathematical physics and other areas of application
82D10 Statistical mechanical studies of plasmas
78A25 Electromagnetic theory, general
35B40 Asymptotic behavior of solutions to PDEs