Stability analysis of collisionless plasmas with specularly reflecting boundary

Toan T. Nguyen; Walter A. Strauss

doi:10.1137/110859695

Stability analysis of collisionless plasmas with specularly reflecting boundary

Toan T. Nguyen, Walter A. Strauss

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this paper we provide sharp criteria for linear stability or instability of equilibria of collisionless plasmas in the presence of boundaries. Specifically, we consider the relativistic Vlasov-Maxwell system with specular reflection at the boundary for the particles and with the perfectly conducting boundary condition for the electromagnetic field. Here we initiate our investigation in the simple geometry of radial and longitudinal symmetry.

Original language	English (US)
Pages (from-to)	777-808
Number of pages	32
Journal	SIAM Journal on Mathematical Analysis
Volume	45
Issue number	2
DOIs	https://doi.org/10.1137/110859695
State	Published - 2013

All Science Journal Classification (ASJC) codes

Analysis
Computational Mathematics
Applied Mathematics

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abstract = "In this paper we provide sharp criteria for linear stability or instability of equilibria of collisionless plasmas in the presence of boundaries. Specifically, we consider the relativistic Vlasov-Maxwell system with specular reflection at the boundary for the particles and with the perfectly conducting boundary condition for the electromagnetic field. Here we initiate our investigation in the simple geometry of radial and longitudinal symmetry.",

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AU - Strauss, Walter A.

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AB - In this paper we provide sharp criteria for linear stability or instability of equilibria of collisionless plasmas in the presence of boundaries. Specifically, we consider the relativistic Vlasov-Maxwell system with specular reflection at the boundary for the particles and with the perfectly conducting boundary condition for the electromagnetic field. Here we initiate our investigation in the simple geometry of radial and longitudinal symmetry.

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JO - SIAM Journal on Mathematical Analysis

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Stability analysis of collisionless plasmas with specularly reflecting boundary

Abstract

All Science Journal Classification (ASJC) codes

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