On Classical Solutions to the First Mixed Problem for the Vlasov–Poisson System in an Infinite Cylinder
- 作者: Belyaeva Y.1, Skubachevskii A.1
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隶属关系:
- RUDN University
- 期: 卷 99, 编号 1 (2019)
- 页面: 87-90
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225629
- DOI: https://doi.org/10.1134/S1064562419010277
- ID: 225629
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详细
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.
作者简介
Yu. Belyaeva
RUDN University
编辑信件的主要联系方式.
Email: yilia-b@yandex.ru
俄罗斯联邦, Moscow, 117198
A. Skubachevskii
RUDN University
编辑信件的主要联系方式.
Email: skublector@gmail.com
俄罗斯联邦, Moscow, 117198