DISCRETIZED BOLTZMANN-EQUATION - LATTICE LIMIT AND NON-MAXWELLIAN GASES

被引：11

作者：

GREENBERG, W

VOIGT, J

ZWEIFEL, PF

机构：

[1] Laboratory of Transport Theory and Mathematical Physics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia

来源：

JOURNAL OF STATISTICAL PHYSICS | 1979年 / 21卷 / 06期

关键词：

Boltzmann equation; finite-difference approximation; global solutions; lattice limit; non-Maxwellian gases;

D O I：

10.1007/BF01107907

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We continue the study of a discrete model of the Boltzmann equation, in which the spatial variable is replaced by a finite periodic lattice. Using a weak compactness criterion for L1, the existence of a lattice limit as the lattice spacing tends to zero is proved. The case of unbounded collision kernels (non-Maxwellian gases) is also treated. © 1979 Plenum Publishing Corporation.

引用

页码：649 / 657

页数：9

共 11 条

[1] ARKERYD L, 1972, ARCH RATION MECH AN, V45, P1
[2] GLOBAL SOLUTIONS OF THE BOLTZMANN-EQUATION ON A LATTICE
CERCIGNANI, C
GREENBERG, W
ZWEIFEL, PF
[J]. JOURNAL OF STATISTICAL PHYSICS, 1979, 20 (04) : 449 - 462
[3] EDWARDS RE, 1965, FUNCTIONAL ANAL, P635
[4] GRAD H, 1958, HDB PHYSIK, V12
[5] GREENBERG W, UNPUBLISHED
[6] NOTE ON ENTROPY PRODUCTION IN A DISCRETE MARKOV SYSTEM
MOREAU, M
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (12) : 2494 - 2498
[7] MORGENSTERN D, 1955, J RATION MECH ANAL, V4, P533
[8] ROYDEN HL, 1968, REAL ANAL, P110
[9] SPOHN H, UNPUBLISHED
[10] VOIGT J, H THEOREM BOLTZMANN

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