Steady-state solutions of the Vlasov-Maxwell system and their stability
type: Item
instance of: scholarly article
title: Steady-state solutions of the Vlasov-Maxwell system and their stability
zbMATH Open document ID: 0761.35108
DOI: 10.1007/BF00047089
published in: Acta Applicandae Mathematicae
publication date: 1993-01-16T00:00:00Z
review text: The study of the Vlasov-Maxwell system is reduced to nonlinear elliptic equations in the stationary case and hyperbolic equations in the nonstationary case. On this basis, theorems on the existence of solutions and sufficient conditions of Lyapunov stability are obtained. The cases are considered when electromagnetic fields and distribution functions can be constructed in an implicit form.
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 82D10
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 95387
zbMATH Keywords: existence of solutions
zbMATH Keywords: Lyapunov stability
author: Y. A. Markov
author: Gennady Alekseevich Rudykh
author: Nikolaĭ Aleksandrovich Sidorov
author: Aleksandr Vladimirovich Sinitsyn
author: D. A. Tolstonogov
reviewed by: A. A. Martynyuk
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00047089
OpenAlex ID: W1966068113
description: scientific article; zbMATH DE number 95387