Global magnetic confinement for the 1.5D Vlasov-Maxwell system

Toan T. Nguyen, Truyen V. Nguyen, Walter A. Strauss

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We establish the global-in-time existence and uniqueness of classi- cal 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 mag- netic 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 offthe boundary. In addition to the confinement, we follow the techniques introduced by Glassey and Schaeffer, who studied the Cauchy problem without boundaries.

Original languageEnglish (US)
Pages (from-to)153-168
Number of pages16
JournalKinetic and Related Models
Volume8
Issue number1
DOIs
StatePublished - Jan 1 2015

Fingerprint

Maxwell System
Magnetic fields
Bounce
Compact Set
External Field
Cauchy Problem
Existence and Uniqueness
Magnetic Field
Singularity
Interval

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation

Cite this

Nguyen, Toan T. ; Nguyen, Truyen V. ; Strauss, Walter A. / Global magnetic confinement for the 1.5D Vlasov-Maxwell system. In: Kinetic and Related Models. 2015 ; Vol. 8, No. 1. pp. 153-168.
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Global magnetic confinement for the 1.5D Vlasov-Maxwell system. / Nguyen, Toan T.; Nguyen, Truyen V.; Strauss, Walter A.

In: Kinetic and Related Models, Vol. 8, No. 1, 01.01.2015, p. 153-168.

Research output: Contribution to journalArticle

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