Technion - Israel Institute of Technology
Department of Mathematics
DATE: Tuesday, January 25, 2011
SPEAKER: Jonathan Ben-Artzi  (Brown University)
TITLE: Linear instability of the Relativistic Vlasov-Maxwell system
PLACE: Room 814, Amado Mathematics Building, Technion
TIME: 14:30
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 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.
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