Geodesic
Some families of solutions of the Vlasov–Maxwell system and their stability
Matematičeskoe modelirovanie, Tome 2 (1990) no. 12, pp. 88-101 Cet article a éte moissonné depuis la source Math-Net.Ru

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The study of a class of nonstationary solutions for the Vlasov–Maxwell integrodifferential system equations [1]–[2] has been reduced to the nonlinear hyperbolic equation. It is shown, that the electromagnetic fields and $n$-component of distribution function are expressed by means of solution of this equation. In case of a two-component model [10] the Lyapunov functional is constructed and question on some stability of stationary solutions, corresponding to certain symmetry of problem and its perturbations is considered. By these, the methods of papers [3]–[8] are used. This paper has being studied by the authors [9]–[13]. 
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     author = {Yu. A. Markov and G. A. Rudykh and N. A. Sidorov and A. V. Sinitsyn},
     title = {Some families of solutions of the {Vlasov{\textendash}Maxwell} system and their stability},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {88--101},
     year = {1990},
     volume = {2},
     number = {12},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1990_2_12_a6/}
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Yu. A. Markov; G. A. Rudykh; N. A. Sidorov; A. V. Sinitsyn. Some families of solutions of the Vlasov–Maxwell system and their stability. Matematičeskoe modelirovanie, Tome 2 (1990) no. 12, pp. 88-101. http://geodesic.mathdoc.fr/item/MM_1990_2_12_a6/