Paper Info
Title
Homogenization of the Vlasov Equation and of the Vlasov - Poisson System with a Strong External Magnetic Field
Abstract
Motivated by the difficulty arising in the numerical simulation of the movement of charged particles in presence of a large external magnetic field, which adds an additional time scale and thus imposes to use a much smaller time step, we perform in this paper a homogenization of the Vlasov equation and of the Vlasov-Poisson system which yield approximate equations describing the mean behavior of the particles. The convergence proof is based on the two scale convergence tools introduced by N'Guetseng and Allaire. We also consider the case where, in addition to the magnetic field, a large external electric field orthogonal to the magnetic field and of the same magnitude is applied.
Year
Venue
Keywords
2010
Computing Research Repository
multiple time scales,homogenization,vlasov-poisson equations,two scale convergence.,kinetic equations,gyrokinetic approximation
DocType
Volume
ISSN
Journal
abs/1011.4282
Asymptotic Analysis 18, 3-4 (1998) 193--214
Citations 
PageRank 
References 
2
0.59
0
Authors
2
Name
Order
Citations
PageRank
Emmanuel Frénod131.29
Eric Sonnendrücker216118.72