On the Milne problem and the hydrodynamic limit for a steady Boltzmann equation model

被引：14

作者：

Arkeryd, L

Nouri, A

机构：

[1] Chalmers Institute of Technology,Department of Mathematics

[2] UMR 5585,undefined

[3] INSA,undefined

来源：

JOURNAL OF STATISTICAL PHYSICS | 2000年 / 99卷 / 3-4期

关键词：

Boltzmann asymptotics; boundary layer; hydrodynamic limit; Maxwellian limit; Milne problem; stationary gas kinetics; weak methods;

D O I：

10.1023/A:1018655815285

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For a stationary nonlinear Boltzmann equation in a slab with a particular truncation in the collision operator, the Milne problem for the boundary layer together with a weak type of hydrodynamic behavior in the interior of the slab are studied by nonperturbative methods in the small-mean-free-path limit.

引用

收藏

页码：993 / 1019

页数：27

相关论文

共 32 条

[1] On the stationary Povzner equation in Rn [J].

Arkeryd, L ;

Nouri, A .

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1999, 39 (01) :115-153

[2] A condensation-evaporation problem in kinetic theory [J].

Arkeryd, L ;

Nouri, A .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1998, 29 (01) :30-47

[3]

ARKERYD L, 1998, ANN SCUOLA NORM SUP, V27, P533

[4]

ARKERYD L, 1998, L1 SOLUTIONS STATION

[5] NONEXISTENCE OF A STEADY RAREFIED SUPERSONIC-FLOW IN A HALF-SPACE [J].

ARTHUR, MD ;

CERCIGNANI, C .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1980, 31 (05) :634-645

[6]

Bardos C., 1991, Mathematical Models & Methods in Applied Sciences, V1, P235, DOI 10.1142/S0218202591000137

[7] THE MILNE AND KRAMERS PROBLEMS FOR THE BOLTZMANN-EQUATION OF A HARD-SPHERE GAS [J].

BARDOS, C ;

CAFLISCH, RE ;

NICOLAENKO, B .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1986, 39 (03) :323-352

[8] FLUID DYNAMIC LIMITS OF KINETIC-EQUATIONS .1. FORMAL DERIVATIONS [J].

BARDOS, C ;

GOLSE, F ;

LEVERMORE, D .

JOURNAL OF STATISTICAL PHYSICS, 1991, 63 (1-2) :323-344

[9] FLUID DYNAMIC LIMITS OF KINETIC EQUATIONS-II CONVERGENCE PROOFS FOR THE BOLTZMANN-EQUATION [J].

BARDOS, C ;

GOLSE, F ;

LEVERMORE, CD .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1993, 46 (05) :667-753

[10]

BARDOS C, 1985, PROGR PHYS, V10, P235

← 1 2 3 4 →