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Funktsional. Anal. i Prilozhen., 2015, Volume 49, Issue 3, Pages 91–96 (Mi faa3200)  
Brief communications

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

A. L. Skubachevskii

Peoples Friendship University of Russia, Moscow

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


DOI: https://doi.org/10.4213/faa3200

Full text: PDF file (152 kB)
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English version:
Functional Analysis and Its Applications, 2015, 49:3, 234–238

Bibliographic databases:

UDC: 517.9
Received: 05.09.2014

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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