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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
DOI:
https://doi.org/10.4213/faa3200
Full text:
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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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Linking options:
http://mi.mathnet.ru/eng/faa3200https://doi.org/10.4213/faa3200 http://mi.mathnet.ru/eng/faa/v49/i3/p91
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