文献类型：期刊文献

中文题名：Non-Maxwellian Kinetic Modelling of City Size Distribution

英文题名：Non-Maxwellian Kinetic Modelling of City Size Distribution

作者：Lijuan Yu[1];Jie Liao[1]

机构：[1]Department of Mathematics, East China University of Science and Technology, Shanghai, China

年份：2021

卷号：9

期号：6

起止页码：1329

中文期刊名：Journal of Applied Mathematics and Physics

外文期刊名：应用数学与应用物理（英文）

语种：英文

中文关键词：Variable Collision Kernel;Kinetic Fokker-Planck Equation;Generalized Gamma Distribution

外文关键词：Variable Collision Kernel;Kinetic Fokker-Planck Equation;Generalized Gamma Distribution

摘要：To extend the kinetic formulation of city size distribution introduced in [1], the non-Maxwellian kinetic modeling is introduced in the present study, in which a variable collision kernel is used in the underlying kinetic equation of Boltzmann type. By resorting to the well-known grazing asymptotic, a kinetic Fokker-Planck counterpart is obtained. The equilibrium of the Fokker-Planck equation belongs to the class of generalized Gamma distributions. Numerical test shows good fit of the generalized Gamma distribution with the city size distribution of China.
To extend the kinetic formulation of city size distribution introduced in [1], the non-Maxwellian kinetic modeling is introduced in the present study, in which a variable collision kernel is used in the underlying kinetic equation of Boltzmann type. By resorting to the well-known grazing asymptotic, a kinetic Fokker-Planck counterpart is obtained. The equilibrium of the Fokker-Planck equation belongs to the class of generalized Gamma distributions. Numerical test shows good fit of the generalized Gamma distribution with the city size distribution of China.