On Classical Solutions to the First Mixed Problem for the Vlasov–Poisson System in an Infinite Cylinder

Abstract: The first mixed problem for the Vlasov–Poisson system in an infinite cylinder is considered. This problem describes the kinetics of charged particles in a high-temperature two-component plasma under an external magnetic field. For an arbitrary electric field potential and a sufficiently strong external magnetic field, it is shown that the characteristics of the Vlasov equations do not reach the boundary of the cylinder. It is proved that the Vlasov–Poisson system with ion and electron distribution density functions supported at some distance from the cylinder boundary has a unique classical solution. © 2019, Pleiades Publishing, Ltd.

Авторы
Редакторы
-
Журнал
Издательство
-
Номер выпуска
1
Язык
Английский
Страницы
87-90
Статус
Опубликовано
Подразделение
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Номер
-
Том
99
Год
2019
Организации
  • 1 RUDN University, Moscow, 117198, Russian Federation
Ключевые слова
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Дата создания
19.07.2019
Дата изменения
19.07.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/38914/