Linear instability of the Relativistic Vlasov-Maxwell system
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Mon, 17/01/2011 17:00 |
Jonathan Ben-Artzi (Brown University) |
Partial Differential Equations Seminar  |
Gibson 1st Floor SR |
| We consider the Relativistic Vlasov-Maxwell system of equations which describes the evolution of a collisionless 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. | |||