A particle approximation for quasi-neutral plasma

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• Megan Griffin-Pickering
• Wednesday 31 October 2018, 16:00-17:00
• MR14, Centre for Mathematical Sciences.

If you have a question about this talk, please contact Simon Becker.

In this talk, I will discuss several models for plasma. A plasma is an ionised gas, and can be modelled as a large number of charged particles interacting with each other through their self-generated electric field. When the number of particles is very large, a particle model is impractical and it is common to use a PDE instead. A well-known example is the Vlasov-Poisson equation. Physical plasmas typically have an additional property called `quasi-neutrality’. In this regime, an appropriate model is the kinetic isothermal Euler equation, which can be obtained from the Vlasov-Poisson equation under a suitable scaling. Deriving these PDE models from the associated particle dynamics is an important mathematical problem. I will begin by introducing the kinetic isothermal Euler and Vlasov-Poisson equations and discussing the difficulties involved in relating these models rigorously to the underlying particle dynamics. I will then present some recent results, obtained in collaboration with Mikaela Iacobelli, in which we derive the kinetic isothermal Euler equation from a system of extended charges.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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