GLOBAL EXISTENCE IN L1 FOR THE ENSKOG EQUATION AND CONVERGENCE OF THE SOLUTIONS TO SOLUTIONS OF THE BOLTZMANN-EQUATION

被引：29

作者：

ARKERYD, L

CERCIGNANI, C

机构：

[1] GOTHENBURG UNIV,S-41124 GOTHENBURG,SWEDEN

[2] POLITECN MILAN,DEPT MATH,I-20133 MILAN,ITALY

来源：

JOURNAL OF STATISTICAL PHYSICS | 1990年 / 59卷 / 3-4期

关键词：

Boltzmann equation; Enskog equation; kinetic theory;

D O I：

10.1007/BF01025854

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For the Enskog equation in a box an existence theorem is proved for initial data with finite mass, energy, and entropy. Then, by letting the diameter of the molecules go to zero, the weak convergence of solutions of the Enskog equation to solutions of the Boltzmann equation is proved. © 1990 Plenum Publishing Corporation.

引用

页码：845 / 867

页数：23

共 14 条

[1] ON THE CONVERGENCE OF SOLUTIONS OF THE ENSKOG EQUATION TO SOLUTIONS OF THE BOLTZMANN-EQUATION [J].

ARKERYD, L ;

CERCIGNANI, C .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1989, 14 (8-9) :1071-1089

[2] LOEB SOLUTIONS OF THE BOLTZMANN-EQUATION [J].

ARKERYD, L .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1984, 86 (01) :85-97

[3]

Arkeryd L., 1986, Transport Theory and Statistical Physics, V15, P673, DOI 10.1080/00411458608212709

[4]

ARKERYD L, 1989, SIAM J MATH ANAL

[5] ON THE ASYMPTOTIC EQUIVALENCE BETWEEN THE ENSKOG AND THE BOLTZMANN EQUATIONS [J].

BELLOMO, N ;

LACHOWICZ, M .

JOURNAL OF STATISTICAL PHYSICS, 1988, 51 (1-2) :233-247

[6]

Cercignani C., 1987, Transport Theory and Statistical Physics, V16, P213, DOI 10.1080/00411458708204660

[7] ON THE KINETIC-THEORY OF A DENSE GAS OF ROUGH SPHERES [J].

CERCIGNANI, C ;

LAMPIS, M .

JOURNAL OF STATISTICAL PHYSICS, 1988, 53 (3-4) :655-672

[8] SMALL DATA EXISTENCE FOR THE ENSKOG EQUATION IN L1 [J].

CERCIGNANI, C .

JOURNAL OF STATISTICAL PHYSICS, 1988, 51 (1-2) :291-297

[9] THE GRAD LIMIT FOR A SYSTEM OF SOFT SPHERES [J].

CERCIGNANI, C .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1983, 36 (04) :479-494

[10] 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

← 1 2 →