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SUMMARY:Stability theory in a collisionless plasma - Strauss\, W (Brown)
DTSTART:20101019T130000Z
DTEND:20101019T134500Z
UID:TALK27487@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:For a collisionless plasma that is modeled by the relativistic
  Vlasov-Maxwell system\, many equilibria are stable but many others are un
 stable.  In this talk\, presenting joint work with Zhiwu Lin\, I will cons
 ider axisymmetric equilibria of the form f(e\, p) that are decreasing in t
 he particle energy e and also depend on the particle angular momentum p. T
 hen a necessary and sufficient condition for linear stability is the posit
 ivity of a certain linear operator L^0. This operator L^0 is much less com
 plicated than the generator of the full linearized system. It has\nan inte
 resting non-local term that can definitely affect its positivity.  There i
 s a similar reduction in the simpler case of 1.5 dimensional symmetry.  Fo
 r the important example of a purely magnetic equilibrium\, explicit condit
 ions for the linear/nonlinear stability/instability are obtained. 
LOCATION:Seminar Room 1\, Newton Institute
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