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SUMMARY:The quasi-neutral limit for the ionic Vlasov-Poisson system with r
 ough data - Megan Griffin-Pickering\, UCL
DTSTART:20231120T140000Z
DTEND:20231120T150000Z
UID:TALK208201@talks.cam.ac.uk
CONTACT:Amelie Justine Loher
DESCRIPTION:Vlasov-Poisson type systems are well known as kinetic models f
 or plasma. The version of the equation describing ions includes an additio
 nal exponential nonlinearity in the equation for the electrostatic potenti
 al compared to the electron case\, which creates several new mathematical 
 difficulties.\n \nThe quasineutral limit is the limit of vanishing Debye l
 ength\, a length scale governing electrostatic interactions and typically 
 very small in physical plasmas. In the case of the ionic model\, the forma
 l limit is the kinetic isothermal Euler system\; however\, this limit is h
 ighly non-trivial to justify rigorously and known to be false in general w
 ithout very strong regularity conditions and/or structural conditions.\n \
 nI will present a recent work\, joint with Mikaela Iacobelli\, in which we
  prove the quasi-neutral limit for the ionic Vlasov-Poisson system for a c
 lass of rough (L^\\infty) data: that is\, data that may be expressed as pe
 rturbations of an analytic function\, vanishing like a single exponential 
 of the inverse Debye length in the sense of Monge-Kantorovich distances. T
 he condition we obtain is much less restrictive than previous results\, an
 d the single exponential form is essentially optimal.
LOCATION:MR13
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