On Classical Solutions to the First Mixed Problem for the Vlasov–Poisson System in an Infinite Cylinder
- Авторлар: Belyaeva Y.1, Skubachevskii A.1
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Мекемелер:
- RUDN University
- Шығарылым: Том 99, № 1 (2019)
- Беттер: 87-90
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225629
- DOI: https://doi.org/10.1134/S1064562419010277
- ID: 225629
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
Yu. Belyaeva
RUDN University
Хат алмасуға жауапты Автор.
Email: yilia-b@yandex.ru
Ресей, Moscow, 117198
A. Skubachevskii
RUDN University
Хат алмасуға жауапты Автор.
Email: skublector@gmail.com
Ресей, Moscow, 117198