Unique Solvability of the First Mixed Problem for the Vlasov–Poisson System in Infinite Cylinder

The first mixed problem for the Vlasov–Poisson system in an infinite cylinder is considered. This problem describes the kinetics of charged particles of high-temperature plasma. It is shown that the characteristics of the Vlasov equations do not reach the boundary of the cylinder if the external magnetic field is sufficiently large. Sufficient conditions are obtained for the existence and uniqueness of classical solution of the Vlasov–Poisson system with ions and electrons density distribution functions supported at some distance from the boundary of the cylinder. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

Publisher
Springer New York LLC
Number of issue
6
Language
English
Pages
930-945
Status
Published
Volume
244
Year
2020
Organizations
  • 1 RUDN University, Moscow, Russian Federation
Date of creation
10.02.2020
Date of change
10.02.2020
Short link
https://repository.rudn.ru/en/records/article/record/56521/