ANALYSIS OF THE BOUNDARY LAYER EQUATION IN THE KINETIC THEORY OF GASES

被引：0
|
作者：
Golse, Francois [1 ]
机构：
[1] Ctr Mathemat Laurent Schwartz, F-91128 Palaiseau, France
来源：
BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2008年 / 3卷 / 01期
关键词：
Boltzmann equation; Boundary layers; Half-space problem;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present paper completes an earlier result by S. Ukai, T. Yang, and S.-H. Yu [Commun. Math. Phys. 236 (2003), 373-393] on weakly nonlinear half-space problems for the steady Boltzmann equation with hard-sphere potential.
引用
收藏
页码：211 / 242
页数：32
相关论文
共 50 条
  • [21] The nonlinear boundary layer to the Boltzmann equation with mixed boundary conditions for hard potentials
    Sun, Jie
    Tian, Qianzhu
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 375 (02) : 725 - 737
  • [22] Kinetic theory for dilute cohesive granular gases with a square well potential
    Takada, Satoshi
    Saitoh, Kuniyasu
    Hayakawa, Hisao
    PHYSICAL REVIEW E, 2016, 94 (01):
  • [23] The nonlinear boundary layer to the Boltzmann equation for cutoff soft potential with physical boundary condition
    Sun, Jie
    Tian, Qianzhu
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (06) : 3207 - 3223
  • [24] The Concept of Mass-Density in Classical Thermodynamics and the Boltzmann Kinetic Equation for Dilute Gases
    Dadzie, S. Kokou
    Reese, Jason M.
    RAREFIED GAS DYNAMICS, 2009, 1084 : 117 - 122
  • [25] Discrete null field equation methods for solving Laplace's equation: Boundary layer computations
    Zhang, Li-Ping
    Li, Zi-Cai
    Lee, Ming-Gong
    Huang, Hung-Tsai
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2024, 40 (04)
  • [26] BOUNDARY LAYER SOLUTION OF THE BOLTZMANN EQUATION FOR DIFFUSIVE REFLECTION BOUNDARY CONDITIONS IN HALF-SPACE
    Huang, Feimin
    Wang, Yong
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 54 (03) : 3480 - 3534
  • [27] Method of calculating the collision integral and solution of the Boltzmann kinetic equation for simple gases, gas mixtures and gases with rotational degrees of freedom
    Anikin, Yu. A.
    Dodulad, O. I.
    Kloss, Yu. Yu.
    Tcheremissine, F. G.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (09) : 1775 - 1789
  • [28] The Solutions for the Boundary Layer Problem of Boltzmann Equation in a Half-Space
    Xiongfeng Yang
    Journal of Statistical Physics, 2011, 143 : 168 - 196
  • [29] POINTWISE CONVERGENCE OF THE BOUNDARY LAYER OF THE BOLTZMANN EQUATION FOR THE CUTOFF HARD POTENTIAL
    Deng, Shijin
    Wang, Weike
    Yu, Shih-Hsien
    METHODS AND APPLICATIONS OF ANALYSIS, 2007, 14 (04) : 307 - 344
  • [30] The Solutions for the Boundary Layer Problem of Boltzmann Equation in a Half-Space
    Yang, Xiongfeng
    JOURNAL OF STATISTICAL PHYSICS, 2011, 143 (01) : 168 - 196
12345