Imperial College London

ProfessorPierreDegond

Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 1474p.degond Website CV

 
 
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Location

 

6M38Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Degond,
author = {Degond, P and Hirstoaga, S and Vignal, M-H},
title = {The Vlasov model under large magnetic fields in the low-Mach number regime},
url = {http://arxiv.org/abs/0905.2400v1},
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - This article is concerned with the kinetic modeling, by means of the Vlasovequation, of charged particles under the influence of a strong externalelectromagnetic field, i.e. when epsilon^2, the dimensionless cyclotron period,tends to zero. This leads us to split the velocity variable in the Vlasovequation into fluid and random components. The latter is supposed to have alarge magnitude of order 1/epsilon (which corresponds to the low Mach numberregime). In the limit epsilon -> 0, the resulting model is a hybrid model whichcouples a kinetic description of the microscopic random motion of the particlesto a fluid description of the macroscopic behavior of the plasma. Themicroscopic model is a first-order partial differential system for thedistribution function, which is averaged over the ultra-fast Larmor gyrationand the fast parallel motion along the magnetic field lines. The perpendicularcomponent (with respect to the magnetic field lines) of the bulk velocity isgoverned by the classical relations describing the E X B and diamagneticdrifts, while its parallel component satisfies an elliptic equation along themagnetic field lines.
AU - Degond,P
AU - Hirstoaga,S
AU - Vignal,M-H
TI - The Vlasov model under large magnetic fields in the low-Mach number regime
UR - http://arxiv.org/abs/0905.2400v1
ER -