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Fluctuation Theory for a Three-Dimensional Model of Maxwellian Molecules
Authors:P. H. Bezandry  T. Diagana
Affiliation:(1) Department of Mathematics, Howard University, 2441 Sixth Street, NW, Washington, DC, 20059
Abstract:Under suitable assumptions, a functional central limit theorem is obtained for a three-dimensional model of Maxwellian molecules. This model is related to a nonlinear Boltzmann-type equation. It will be proved that the family of the distributions induced by fluctuation processes converges weakly.
Keywords:Boltzmann equation  fluctuation  nonlinear evolution equation  Markov process  weak convergence
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