ENERGY-CONSERVATION AND H-THEOREM IN THE SCALAR NONLINEAR BOLTZMANN-EQUATION AND IN ITS MULTIGROUP REPRESENTATION

被引:9
|
作者
KUGERL, G
SCHURRER, F
机构
[1] Institute for Theoretical Physics, Graz University of Technology, A-8010 Graz
关键词
D O I
10.1016/0375-9601(90)90772-G
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A multigroup representation of the scalar nonlinear Boltzmann equation is given. In analogy to the properties of a well-formulated scattering kernel of the Boltzmann equation, the symmetries of the scattering coefficients, governing energy conservation and the H-theorem in the multigroup model, are discussed and illustrated by two examples. © 1990.
引用
收藏
页码:158 / 163
页数:6
相关论文
共 29 条
  • [1] THE H-THEOREM AND ONSAGER PRINCIPLE FOR THE STATIONARY BOLTZMANN-EQUATION
    BISHAEV, AM
    RYKOV, VA
    [J]. USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1983, 23 (04): : 116 - 123
  • [2] WEAK SOLUTIONS OF THE BOLTZMANN-EQUATION AND ENERGY-CONSERVATION
    CERCIGNANI, C
    [J]. APPLIED MATHEMATICS LETTERS, 1995, 8 (02) : 53 - 59
  • [3] MULTIGROUP SOLUTIONS OF THE NONLINEAR BOLTZMANN-EQUATION
    KUGERL, G
    SCHURRER, F
    [J]. PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1990, 2 (12): : 2204 - 2210
  • [4] A MULTIGROUP APPROACH TO THE NONLINEAR EXTENDED BOLTZMANN-EQUATION
    CARAFFINI, GL
    GANAPOL, BD
    SPIGA, G
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS, 1995, 17 (02): : 129 - 142
  • [5] On the conditions of validity of the Boltzmann equation and Boltzmann H-theorem
    Massimo Tessarotto
    Claudio Cremaschini
    Marco Tessarotto
    [J]. The European Physical Journal Plus, 128
  • [6] On the conditions of validity of the Boltzmann equation and Boltzmann H-theorem
    Tessarotto, Massimo
    Cremaschini, Claudio
    Tessarotto, Marco
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2013, 128 (03):
  • [7] BOLTZMANN H-THEOREM AND THE GENERALIZED MASTER EQUATION
    RAJAGOPAL, AK
    TEITLER, S
    NGAI, KL
    RENDELL, RW
    [J]. PHYSICAL REVIEW A, 1984, 29 (02) : 969 - 971
  • [8] WEAK SOLUTIONS OF THE BOLTZMANN-EQUATION AND ENERGY-CONSERVATION (VOL 8, PG 53, 1995)
    CERCIGNANI, C
    [J]. APPLIED MATHEMATICS LETTERS, 1995, 8 (05) : 95 - 99
  • [9] SCALAR NONLINEAR BOLTZMANN-EQUATION FOR GAS-MIXTURES
    KUGERL, G
    SCHURRER, F
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1991, 42 (03): : 364 - 369
  • [10] ON THE INITIAL LAYER AND THE EXISTENCE THEOREM FOR THE NONLINEAR BOLTZMANN-EQUATION
    LACHOWICZ, M
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1987, 9 (03) : 342 - 366