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The Vlasov equation with strong magnetic field and oscillating electric field as a model of isotope resonant separation
Frenod, Emmanuel ; Watbled, Frederique
HAL, hal-00133420 / Harvested from HAL
Text on HAL
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.
Publié le : 2002-07-05
Classification:  Vlasov equation,  Homogenization,  Two-scale convergence,  Memory effects,  Pseudo-differential equations,  Isotop separation,  [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA],  [PHYS.PHYS.PHYS-PLASM-PH]Physics [physics]/Physics [physics]/Plasma Physics [physics.plasm-ph] 
@article{hal-00133420,
     author = {Frenod, Emmanuel and Watbled, Frederique},
     title = {The Vlasov equation with strong magnetic field and oscillating electric field as a model of isotope resonant separation},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00133420}
}

Frenod, Emmanuel; Watbled, Frederique. The Vlasov equation with strong magnetic field and oscillating electric field as a model of isotope resonant separation. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00133420/