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CATEGORIES:Cambridge Analysts' Knowledge Exchange
SUMMARY:A particle approximation for quasi-neutral plasma
- Megan Griffin-Pickering
DTSTART;TZID=Europe/London:20181031T160000
DTEND;TZID=Europe/London:20181031T170000
UID:TALK114187AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/114187
DESCRIPTION:In this talk\, I will discuss several models for p
lasma. A plasma is an ionised gas\, and can be mod
elled as a large number of charged particles inter
acting with each other through their self-generate
d electric field. When the number of particles is
very large\, a particle model is impractical and i
t is common to use a PDE instead. A well-known exa
mple is the Vlasov-Poisson equation. \nPhysical pl
asmas typically have an additional property called
`quasi-neutrality'. In this regime\, an appropria
te model is the kinetic isothermal Euler equation\
, which can be obtained from the Vlasov-Poisson eq
uation under a suitable scaling. Deriving these PD
E models from the associated particle dynamics is
an important mathematical problem.\nI will begin b
y introducing the kinetic isothermal Euler and Vla
sov-Poisson equations and discussing the difficult
ies involved in relating these models rigorously t
o the underlying particle dynamics. I will then pr
esent some recent results\, obtained in collaborat
ion with Mikaela Iacobelli\, in which we derive th
e kinetic isothermal Euler equation from a system
of extended charges.
LOCATION:MR14\, Centre for Mathematical Sciences
CONTACT:Simon Becker
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