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
Journal Title
Journal ISSN
Volume Title
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.
Rights
Attribution 4.0 International