The Vlasov equation with strong magnetic field and oscillating electric field as a model of isotope resonant separation

Emmanuel Frenod; Frederique Watbled

hal-00133420, version 1

The Vlasov equation with strong magnetic field and oscillating electric field as a model of isotope resonant separation

Emmanuel Frenod ( Author to contact preferably ) ^1, 2, Frederique Watbled ¹

Electronic Journal of Differential Equations 2000 (2002) 1--20

Abstract: We study qualitative behavior of the Vlasov equation with strong external magnetic field and oscillating electric field. This model is relevant in order to understand 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. In some particular cases, the kernel is explicitly given.

1: Laboratoire de Mathématiques et Applications des Mathématiques, EA 3885 (LMAM)
Université de Bretagne Sud
2: CALVI (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA)
CNRS : UMR7005 – INRIA – Université de Strasbourg – Université de Lorraine

hal-00133420, version 1
http://hal.archives-ouvertes.fr/hal-00133420
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From: Emmanuel Frenod <>
Submitted on: Monday, 26 February 2007 12:10:39
Updated on: Saturday, 13 November 2010 13:20:10

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arXiv: math.FA/0702767

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