Linear instability of the Relativistic Vlasov-Maxwell system
- đ¤ Speaker: Jonathan Ben-Artzi (Brown University)
- đ Date & Time: Tuesday 18 January 2011, 15:30 - 16:30
- đ Venue: CMS, MR15
Abstract
We consider the Relativistic Vlasov-Maxwell system of equations which describes the evolution of a collisionless relativistic plasma. We show that under rather general conditions, one can test for linear instability by checking the spectral properties of Schroedinger-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.
Series This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.
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Jonathan Ben-Artzi (Brown University)
Tuesday 18 January 2011, 15:30-16:30