On the derivation of hydrodynamics from the Boltzmann equation

被引：21

作者：

Esposito, R ^{[1
]}

Lebowitz, JL

Marra, R

机构：

[1] Univ Aquila, Dipartimento Matemat, I-67100 Laquila, Italy

[2] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA

[3] Rutgers State Univ, Dept Phys, New Brunswick, NJ 08903 USA

[4] Univ Roma Tor Vergata, Dipartimento Fis, I-00133 Rome, Italy

来源：

PHYSICS OF FLUIDS | 1999年 / 11卷 / 08期

关键词：

D O I：

10.1063/1.870097

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We review the main ideas on the derivation of hydrodynamical equations from microscopic models. The Boltzmann equation, which is a good approximation for the evolution of rare gases, provides a useful tool to test these ideas in mathematically controllable situations such as the Euler and incompressible Navier-Stokes limits, which we describe in some detail. We also discuss the heuristics and some rigorous results available for stochastic particle systems. (C) 1999 American Institute of Physics. [S1070-6631(99)02008-5].

引用

页码：2354 / 2366

页数：13

共 35 条

[1] 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

[2]

BARDOS C, 1989, COMPTES RENDUS ACA 1, V11, P727

[3]

BENOIS O, IN PRESS J STAT PHYS

[4]

Bobylev A. V., 1982, Soviet Physics - Doklady, V27, P29

[5]

BOLDRIGHINI C, 1980, TIME ASYMPTOTIC DEGE

[6]

Boussinesq J., 1903, Theorie Analytique de la Chaleur, V2

[7]

CAFLISCH R, 1983, FLUID DYNAMICS BOLTZ, P193

[8] THE FLUID DYNAMIC LIMIT OF THE NON-LINEAR BOLTZMANN-EQUATION [J].

CAFLISCH, RE .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1980, 33 (05) :651-666

[9]

Cercignani C, 1988, BOLTZMANN EQUATION I

[10] INCOMPRESSIBLE NAVIER-STOKES AND EULER LIMITS OF THE BOLTZMANN-EQUATION [J].

DEMASI, A ;

ESPOSITO, R ;

LEBOWITZ, JL .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1989, 42 (08) :1189-1214

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