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We consider the plasma confined in a general axisymmetric spatial domain withperfect conducting boundary which reflects particles specularly, and look at acertain class of equilibria, assuming axisymmetry in the problem. We prove asharp criterion of spectral stability under these settings. Moreover, weprovide several explicit families of stable/unstable equilibria using thiscriterion.

Linear Stability Analysis of the Relativistic Vlasov-Maxwell System in an Axisymmetric Domain