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Linear instability of nonmonotone plasmas

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We consider the relativistic Vlasov-Maxwell system of equations which describes the evolution of a collisionless charged plasma. We show that under rather general conditions, one can test for linear instability by checking the spectral properties of Schrodinger-type operators that act only on the spatial variable, not the full phase space. This extends previous results that show linear and nonlinear stability and instability in more restrictive settings.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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