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

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dc.contributor.authorFrenod, Emmanuel
dc.contributor.authorWatbled, Frederique
dc.date.accessioned2020-07-07T20:37:12Z
dc.date.available2020-07-07T20:37:12Z
dc.date.issued2002-01-01
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationFrenod, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/11984
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectVlasov equation
dc.subjectHomogenization
dc.subjectTwo-scale convergence
dc.subjectMemory effects
dc.subjectPseudo-differential equations
dc.subjectIsotop separation
dc.titleThe Vlasov Equation with Strong Magnetic Field and Oscillating Electric Field as a Model for Isotop Resonant Separation
dc.typeArticle

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