Stochastic Formulation for the Initial-Boundary Value Problems of the Boltzmann Equation

被引:18
作者
Yu, Shih-Hsien [1 ]
机构
[1] Natl Univ Singapore, Dept Math, Singapore 117548, Singapore
关键词
MICROSCOPIC MODEL; GLOBAL EXISTENCE; THERMAL CREEP; EQUILIBRIUM; EVAPORATION; FLOW;
D O I
10.1007/s00205-008-0139-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
[No abstract available]
引用
收藏
页码:217 / 274
页数:58
相关论文
共 38 条
[1]   EVAPORATION AND CONDENSATION ON 2 PARALLEL PLATES AT FINITE REYNOLDS-NUMBERS [J].
AOKI, K ;
CERCIGNANI, C .
PHYSICS OF FLUIDS, 1983, 26 (05) :1163-1164
[2]  
Aoki K, 2007, BULL INST MATH ACAD, V2, P805
[3]   ON DIFFUSE REFLECTION AT THE BOUNDARY FOR THE BOLTZMANN-EQUATION AND RELATED EQUATIONS [J].
ARKERYD, L ;
MASLOVA, N .
JOURNAL OF STATISTICAL PHYSICS, 1994, 77 (5-6) :1051-1077
[4]   MEASURE SOLUTIONS OF THE STEADY BOLTZMANN-EQUATION IN A SLAB [J].
ARKERYD, L ;
CERCIGNANI, C ;
ILLNER, R .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 142 (02) :285-296
[5]   Boltzmann asymptotics with diffuse reflection boundary conditions [J].
Arkeryd, L ;
Nouri, A .
MONATSHEFTE FUR MATHEMATIK, 1997, 123 (04) :285-298
[6]  
Arkeryd L, 1995, INDIANA U MATH J, V44, P815
[7]   A GLOBAL EXISTENCE THEOREM FOR THE INITIAL-BOUNDARY-VALUE PROBLEM FOR THE BOLTZMANN-EQUATION WHEN THE BOUNDARIES ARE NOT ISOTHERMAL [J].
ARKERYD, L ;
CERCIGNANI, C .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1993, 125 (03) :271-287
[8]   On the distribution of free path lengths for the periodic Lorentz gas [J].
Bourgain, J ;
Golse, F ;
Wennberg, B .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 190 (03) :491-508
[10]   SHOCK PROFILE SOLUTIONS OF THE BOLTZMANN-EQUATION [J].
CAFLISCH, RE ;
NICOLAENKO, B .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 86 (02) :161-194