This article is cited in 1 paper

Computational methods and algorithms

Some families of solutions of the Vlasov–Maxwell system and their stability

Yu. A. Markov^a, G. A. Rudykh, N. A. Sidorov^b, A. V. Sinitsyn

^a Irkutsk Computer Centre of USSR Academy of Sciences, Siberian Branch
^b Irkutsk State University

Abstract: 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].

UDC: 530.1

Received: 16.05.1990

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