Year: 2020
Type: preprint
Abstract: The purpose of this paper is to bridge kinetic plasma descriptions and low frequency single fluid models. More specifically, the asymptotics leading to Magneto-Hydro-Dynamic (MHD) regimes starting from the Vlasov-Maxwell system are investigated. The analogy with the derivation, from the Vlasov-Poisson system, of a fluid representation for the ions coupled to the Boltzmann relation for electrons is also outlined. The aim is to identify asymptotic parameters explaining the transitions from one microscopic description to a macroscopic low frequency model. These investigations provide ground work for the derivation of multi-scale numerical methods, model coupling or physics based preconditioning.
Source: arXiv (Cornell University)
Authors: Crestetto, A., Deluzet, F., Doyen, D.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3016867172