|
This article is cited in 12 scientific papers (total in 12 papers)
Classical solutions of the Vlasov–Poisson equations with external magnetic field in a half-space
A. L. Skubachevskiia, Y. Tsuzukib a RUDN University, Moscow, Russia
b Hirosima Shudo University, TK9583410, I-I-I, Ozukahigashi Asaminami–ku, Hirosima, Japan
Abstract:
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.
Key words:
Vlasov–Poisson equations, mixed problem, classical solutions, external magnetic field, half-space.
Received: 26.07.2016
Citation:
A. L. Skubachevskii, Y. Tsuzuki, “Classical solutions of the Vlasov–Poisson equations with external magnetic field in a half-space”, Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017), 536–552; Comput. Math. Math. Phys., 57:3 (2017), 541–557
Linking options:
https://www.mathnet.ru/eng/zvmmf10541 https://www.mathnet.ru/eng/zvmmf/v57/i3/p536
|
Statistics & downloads: |
Abstract page: | 3805 | Full-text PDF : | 72 | References: | 71 | First page: | 61 |
|