Generalization of the Boltzmann Htheorem for Binary Mixtures of Maxwell Gases
TIAN Hongxiao;LIU Quansheng;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 Htheorem 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
【CateGory Index】： O354
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