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《Journal of Anhui Normal University(Natural Science)》 2014-01
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Generalization of the Boltzmann H-theorem for Binary Mixtures of Maxwell Gases

TIAN Hong-xiao;LIU Quan-sheng;Achilatu;School of Mathematics, Physics and Biological Engineering, Inner Mongolia University of Science and Technology;School of Mathematical Science, Inner Mongolia University;  
Boltzmann equations and generalization of the Boltzmann H-theorem for binary mixtures of Maxwell gases are discussed.Sufficient conditions for convex and isotropic functions,which are defined on the solution space of the spatially homogeneous Boltzmann equations, are given in the present paper. These functions are monotonically decreasing with time. The distribution functions and the Boltzmann equations for binary mixtures of Maxwell gases are processed by Fourier transform at first.Then, the functions with the monotonic behavior along time for the Boltzmann equations are characterized. In addition, a theorem shows that the sufficient conditions valid for axially symmetric solutions in any dimension.
【Fund】: Supported by National Natural Science Foundation of China(11202092;51264030);; Natural Science Foundation of Inner Mongolia(2013MS0111;2012MS0107)
【CateGory Index】: O354
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Chinese Journal Full-text Database 2 Hits
1 Burenmandula 1,and ZHAO Ying-Chun 2 1 School of Mathematics and Statistics,Chifeng University,Chifeng 024001,China 2 Primary Education College,Chifeng University,Chifeng 024001,China;An Exact Solution to the Two-Particle Boltzmann Equation System for Maxwell Gases[J];理论物理通讯(英文版);2012-10
2 Irene M.Gamba Department of Mathematics & Institute of Computational Engineering and Sciences, University of Texas Austin Sri Harsha Tharkabhushanam Institute of Computational Engineering and Sciences,University of Texas Austin;SHOCK AND BOUNDARY STRUCTURE FORMATION BY SPECTRAL-LAGRANGIAN METHODS FOR THE INHOMOGENEOUS BOLTZMANN TRANSPORT EQUATION[J];计算数学(英文版);2010-04
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