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SUMMARY:On the Massless Electron Limit for a Multispecies Kinetic System w
 ith External Magnetic Field - Maxime Herda\, Institut Camille Jordan\, Vil
 leurbanne
DTSTART:20150617T150000Z
DTEND:20150617T160000Z
UID:TALK59666@talks.cam.ac.uk
CONTACT:Dominic Dold
DESCRIPTION:We consider a three-dimensional kinetic model for a two-specie
 s plasma consisting of electrons and ions\nconfined by an external non-con
 stant magnetic field. Then we derive a kinetic-fluid model when the mass\n
 ratio m_e/m_i tends to zero.\n\nEach species initially obeys a Vlasov-type
  equation and the electrostatic coupling follows from a Poisson\nequation.
  In our modelling\, ions are assumed non-collisional while a Fokker-Planck
  collision operator is\ntaken into account in the electron equation. As th
 e mass ratio tends to zero\, we show convergence to a\nnew system where th
 e macroscopic electron density satisfies an anisotropic drift-diffusion eq
 uation. To\nachieve this task\, we overcome some specific technical issues
  of our model such as the strong effect of\nthe magnetic field on electron
 s and the lack of regularity at the limit. With methods usually adapted\nt
 o the diffusion limit of collisional kinetic equations and including renor
 malized solutions\, relative entropy\ndissipation and velocity averages\, 
 we establish the rigorous derivation of the limit model.\n\n[Maxime Herda.
  On massless electron limit for a multispecies kinetic system with externa
 l magnetic field. April 2015]
LOCATION:MR11\, Centre for Mathematical Sciences
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