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SUMMARY:A particle approximation for quasi-neutral plasma - Megan Griffin-
 Pickering
DTSTART:20181031T160000Z
DTEND:20181031T170000Z
UID:TALK114187@talks.cam.ac.uk
CONTACT:Simon Becker
DESCRIPTION:In this talk\, I will discuss several models for plasma. A pla
 sma is an ionised gas\, and can be modelled as a large number of charged p
 articles interacting with each other through their self-generated electric
  field. When the number of particles is very large\, a particle model is i
 mpractical and it is common to use a PDE instead. A well-known example is 
 the Vlasov-Poisson equation. \nPhysical plasmas typically have an addition
 al property called `quasi-neutrality'. In this regime\, an appropriate mod
 el is the kinetic isothermal Euler equation\, which can be obtained from t
 he Vlasov-Poisson equation under a suitable scaling. Deriving these PDE mo
 dels from the associated particle dynamics is an important mathematical pr
 oblem.\nI will begin by introducing the kinetic isothermal Euler and Vlaso
 v-Poisson equations and discussing the difficulties involved in relating t
 hese models rigorously to the underlying particle dynamics. I will then pr
 esent some recent results\, obtained in collaboration with Mikaela Iacobel
 li\, in which we derive the kinetic isothermal Euler equation from a syste
 m of extended charges.
LOCATION:MR14\, Centre for Mathematical Sciences
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