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Funktsional'nyi Analiz i ego Prilozheniya, 2015, Volume 49, Issue 3, Pages 91–96
DOI: https://doi.org/10.4213/faa3200 (Mi faa3200) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Nonlocal Problems for the Vlasov–Poisson Equations in an Infinite Cylinder

A. L. Skubachevskii

Peoples Friendship University of Russia, Moscow
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DOI: https://doi.org/10.4213/faa3200
Abstract: The Vlasov–Poisson equations with an external magnetic field in an infinite cylinder for a two-component high-temperature plasma with initial conditions on the distribution densities of charged particles and nonlocal boundary condition on the electric field potential are considered. For sufficiently small initial distribution densities, the existence and uniqueness of a classical solution for which the distribution densities of charged particles are supported on an inner cylinder are proved.
Keywords: Vlasov–Poisson equations, nonlocal problems.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00265
Received: 05.09.2014
English version:
Functional Analysis and Its Applications, 2015, Volume 49, Issue 3, Pages 234–238
DOI: https://doi.org/10.1007/s10688-015-0112-1
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. L. Skubachevskii, “Nonlocal Problems for the Vlasov–Poisson Equations in an Infinite Cylinder”, Funktsional. Anal. i Prilozhen., 49:3 (2015), 91–96; Funct. Anal. Appl., 49:3 (2015), 234–238
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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