Homogenization of the Vlasov Equation and of the Vlasov - Poisson System with a Strong External Magnetic Field

Details Homogenization of the Vlasov Equation and of the Vlasov - Poisson System with a Strong External Magnetic Field Homogenization of the Vlasov Equation and of the Vlasov - Poisson System with a Strong External Magnetic Field

2010-11-18

arxiv.org/abs/1011.4282v1

Asymptotic Analysis 18, 3-4 (1998) 193--214

Mathematics

Analysis of PDEs

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Homogenization of the Vlasov Equation and of the Vlasov - Poisson System with a Strong External Magnetic Field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Homogenization of the Vlasov Equation and of the Vlasov - Poisson System with a Strong External Magnetic Field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homogenization of the Vlasov Equation and of the Vlasov - Poisson System with a Strong External Magnetic Field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-116363