GLOBAL MAGNETIC CONFINEMENT FOR THE 1.5D VLASOV-MAXWELL SYSTEM

被引：17

作者：

Nguyen, Toan T. ^{[1
]}

Nguyen, Truyen V. ^{[2
]}

Strauss, Walter A. ^{[3
]}

机构：

[1] Penn State Univ, Dept Math, State Coll, PA 16802 USA

[2] Univ Akron, Dept Math, Akron, OH 44325 USA

[3] Brown Univ, Dept Math, Lefschetz Ctr Dynamical Syst, Providence, RI 02912 USA

来源：

基金：

美国国家科学基金会;

关键词：

Vlasov-Maxwell system; global smooth solution; magnetic confinement; boundary conditions; BOUNDARY-CONDITIONS; WEAK SOLUTIONS; PLASMA;

D O I：

10.3934/krm.2015.8.153

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the global-in-time existence and uniqueness of classical solutions to the "one and one-half" dimensional relativistic Vlasov Maxwell systems in a bounded interval, subject to an external magnetic field which is infinitely large at the spatial boundary. We prove that the large external magnetic field confines the particles to a compact set away from the boundary. This excludes the known singularities that typically occur due to particles that repeatedly bounce off the boundary. In addition to the confinement, we follow the techniques introduced by Glassey and Schaeffer, who studied the Cauchy problem without boundaries.

引用

页码：153 / 168

页数：16

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