We consider the first mixed problem for the Vlasov–Poisson equations with an external magnetic field in a half-space. This problem describes the evolution of the density distributions of ions and electrons in a high temperature plasma with a fixed potential of electric field on a boundary. For arbitrary potential of electric field and sufficiently large induction of external magnetic field, it is shown that the characteristics of the Vlasov equations do not reach the boundary of the halfspace. It is proved the existence and uniqueness of classical solution with the supports of charged-particle density distributions at some distance from the boundary, if initial density distributions are sufficiently small. © 2017, Pleiades Publishing, Ltd.

Authors

Number of issue

3

Language

English

Pages

541-557

Status

Published

Link

Volume

57

Year

2017

Organizations

^{1}RUDN University, Moscow, 119991, Russian Federation^{2}Hirosima Shudo University, TK9583410, I-I-I, Ozukahigashi Asaminami–ku, Hirosima, 731-3195, Japan

Keywords

classical solutions; external magnetic field; half-space; mixed problem; Vlasov–Poisson equations

Date of creation

19.10.2018

Date of change

19.10.2018

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