Singular Limits for Plasmas with Thermalised Electrons
Accepted version
Peer-reviewed
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Authors
Griffin-Pickering, Megan https://orcid.org/0000-0001-6463-6671
Iacobelli, Mikaela
Abstract
This work is concerned with the study of singular limits for the Vlasov-Poisson system in the case of massless electrons (VPME), which is a kinetic system modelling the ions in a plasma. Our objective is threefold: first, we provide a mean field derivation of the VPME system in dimensions from a system of N extended charges. Secondly, we prove a rigorous quasineutral limit for initial data that are perturbations of analytic data, deriving the Kinetic Isothermal Euler (KIE) system from the VPME system in dimensions . Lastly, we combine these two singular limits in order to show how to obtain the KIE system from an underlying particle system.
Description
Keywords
Plasma, Vlasov-Poisson for massless electrons, Mean-field derivation, Quasineutral limit, Kinetic isothermal Euler system
Journal Title
Journal de Mathematiques Pures et Appliquees
Conference Name
Journal ISSN
0021-7824
1776-3371
1776-3371
Volume Title
Publisher
Elsevier
Publisher DOI
Sponsorship
EPSRC (1650484)
European Research Council (726386)
Engineering and Physical Sciences Research Council (EP/L016516/1)
European Research Council (726386)
Engineering and Physical Sciences Research Council (EP/L016516/1)
This work was supported by the UK Engineering and Physical Sciences Research Council (EPSRC) grant EP/L016516/1 for the University of Cambridge Centre for Doctoral Training, the Cambridge Centre for Analysis; and the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No 726386).