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Linear Stability Analysis of the Relativistic Vlasov-Maxwell System in an Axisymmetric Domain
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Linear Stability Analysis of the Relativistic Vlasov-Maxwell System in an Axisymmetric Domain
classification
math.AP
math-phmath.MP
keywords
axisymmetriccriteriondomainequilibriastabilityanalysisassumingaxisymmetry
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We consider the plasma confined in a general axisymmetric spatial domain with perfect conducting boundary which reflects particles specularly, and look at a certain class of equilibria, assuming axisymmetry in the problem. We prove a sharp criterion of spectral stability under these settings. Moreover, we provide several explicit families of stable/unstable equilibria using this criterion.
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