The Vlasov Equation with Strong Magnetic Field and Oscillating Electric Field as a Model for Isotop Resonant Separation

Date

2002-01-01

Authors

Frenod, Emmanuel
Watbled, Frederique

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Publisher

Southwest Texas State University, Department of Mathematics

Abstract

We study the qualitative behavior of solutions to the Vlasov equation with strong external magnetic field and oscillating electric field. This model is relevant to the understanding of isotop resonant separation. We show that the effective equation is a kinetic equation with a memory term. This memory term involves a pseudo-differential operator whose kernel is characterized by an integral equation involving Bessel functions. The kernel is explicitly given in some particular cases.

Description

Keywords

Vlasov equation, Homogenization, Two-scale convergence, Memory effects, Pseudo-differential equations, Isotop separation

Citation

Frenod, E., & Watbled, F. (2002). The Vlasov equation with strong magnetic field and oscillating electric field as a model for isotop resonant separation. <i>Electronic Journal of Differential Equations, 2002</i>(06), pp. 1-20.

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Attribution 4.0 International

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