Geodesic
The Vlasov equation with strong mangnetic field and oscillating electric field as a model for isotop resonant separation
Electronic Journal of Differential Equations, Tome 2002 (2002).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 82D10, 35B27, 35Q99, 76X05, 47G10, 47G20
Keywords: vlasov equation, homogenization, two-scale convergence, memory effects, pseudo-differential equations, isotop separation 
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     author = {Fr\'enod, Emmanuel and Watbled, Fr\'ed\'erique},
     title = {The {Vlasov} equation with strong mangnetic field and oscillating electric field as a model for isotop resonant separation},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a253/}
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Frénod, Emmanuel; Watbled, Frédérique. The Vlasov equation with strong mangnetic field and oscillating electric field as a model for isotop resonant separation. Electronic Journal of Differential Equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a253/