About the splitting algorithm for Boltzmann and BGK equations

被引:40
作者
Desvillettes, L [1 ]
Mischler, S [1 ]
机构
[1] UNIV VERSAILLES,DEPT MATH,F-78055 VERSAILLES,FRANCE
关键词
D O I
10.1142/S0218202596000444
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove the convergence of splitting algorithms for transport and collision operators for Boltzmann and B.G.K. equations.
引用
收藏
页码:1079 / 1101
页数:23
相关论文
共 17 条
[1]   A MODEL FOR COLLISION PROCESSES IN GASES .1. SMALL AMPLITUDE PROCESSES IN CHARGED AND NEUTRAL ONE-COMPONENT SYSTEMS [J].
BHATNAGAR, PL ;
GROSS, EP ;
KROOK, M .
PHYSICAL REVIEW, 1954, 94 (03) :511-525
[2]  
Cercignani C., 1988, Applied mathematical sciences
[3]  
Chapman S., 1990, The Mathematical Theory of Non-Uniform Gases, Vthird
[4]  
Desvillettes L., 1993, ASYMPTOTIC ANAL, V6, P315
[5]  
DESVILLETTES L, IN PRESS MATH MODED
[6]  
DESVILLETTES L, 1990, THESIS U PARIS 7
[7]   LP REGULARITY OF VELOCITY AVERAGES [J].
DIPERNA, RJ ;
LIONS, PL ;
MEYER, Y .
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1991, 8 (3-4) :271-287
[8]   ON THE CAUCHY-PROBLEM FOR BOLTZMANN EQUATIONS - GLOBAL EXISTENCE AND WEAK STABILITY [J].
DIPERNA, RJ ;
LIONS, PL .
ANNALS OF MATHEMATICS, 1989, 130 (02) :321-366
[9]   GLOBAL-SOLUTIONS OF BOLTZMANN-EQUATION AND THE ENTROPY INEQUALITY [J].
DIPERNA, RJ ;
LIONS, PL .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1991, 114 (01) :47-55
[10]   REGULARITY OF THE MOMENTS OF THE SOLUTION OF A TRANSPORT-EQUATION [J].
GOLSE, F ;
LIONS, PL ;
PERTHAME, B ;
SENTIS, R .
JOURNAL OF FUNCTIONAL ANALYSIS, 1988, 76 (01) :110-125