Globally hyperbolic moment model of arbitrary order for the three-dimensional special relativistic Boltzmann equation with the Anderson-Witting collision

作     者：Yangyu Kuang Huazhong Tang Yangyu Kuang;Huazhong Tang

作者机构：Center for Applied Physics and TechnologyHEDPS and LMAMSchool of Mathematical SciencesPeking UniversityBeijing 100871China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2022年第65卷第5期

页      面：1029-1064页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 070201[理学-理论物理] 0701[理学-数学] 0702[理学-物理学] 

基　　金：supported by the Special Project on High-performance Computing under the National Key R&D Program (Grant No. 2016YFB0200603) the Science Challenge Project (Grant No. TZ2016002) the Sino-German Research Group Project (Grant No. GZ 1465) National Natural Science Foundation of China (Grant Nos. 91630310 and 11421101) 

主　　题：moment method hyperbolicity special relativistic Boltzmann equation model reduction operator projection 

摘      要：This paper continues to derive the globally hyperbolic moment model of arbitrary order for the three-dimensional special relativistic Boltzmann equation with the Anderson-Witting *** method is the model reduction by the operator *** an orthogonal basis of the weighted polynomial space is crucial and built on infinite families of the complicate relativistic Grad type orthogonal polynomials depending on a parameter and the real spherical harmonics instead of the irreducible *** study the properties of those functions carefully,including their recurrence relations,their derivatives with respect to the independent variable and the parameter,and the zeros of the orthogonal *** moment model is proved to be globally hyperbolic and linearly ***,the Lorentz covariance,the quasi-one-dimensional case,and the non-relativistic and ultra-relativistic limits are also studied.