On the Existence of Global Compactly Supported Weak Solutions of the Vlasov–Poisson System with an External Magnetic Field-Reference-Cited by-同舟云学术

On the Existence of Global Compactly Supported Weak Solutions of the Vlasov–Poisson System with an External Magnetic Field

Published:2023-12-15 Issue:11 Volume:59 Page:1471-1499
ISSN:0374-0641
Container-title:Дифференциальные уравнения
language:
Short-container-title:Differencialʹnye uravneniâ

Author:

Skubachevskiy A. L.¹²

Affiliation:

1. RUDN University, Moscow, 117198, Russia

2. Moscow Center for Fundamental and Applied Mathematics, Moscow, 119991, Russia

Abstract

We consider the first mixed problem for the Vlasov–Poisson system with an external magnetic field in a domain with piecewise smooth boundary. This problem describes the kinetics of a two-component high-temperature plasma under the influence of a self-consistent electric field and an external magnetic field. The existence of global weak solutions is proved. In the case of a cylindrical domain, sufficient conditions are obtained for the existence of global weak solutions with supports in a strictly internal cylinder; this corresponds to the confinement of high-temperature plasma in a mirror trap.

Publisher

The Russian Academy of Sciences

Reference34 articles.

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