A CLUSTER-EXPANSION APPROACH TO A ONE-DIMENSIONAL BOLTZMANN-EQUATION - A VALIDITY RESULT

被引：15

作者：

CAPRINO, S ^{[1
]}

PULVIRENTI, M ^{[1
]}

机构：

[1] UNIV ROMA LA SAPIENZA,DIPARTIMENTO MATEMAT,I-00185 ROME,ITALY

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1995年 / 166卷 / 03期

关键词：

D O I：

10.1007/BF02099889

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a stochastic particle system on the Line and prove that, when the number of particles diverges and the probability of a collision is suitably rescaled, the system is well described by a one-dimensional Boltzmann equation. The result holds globally in time, without any smallness assumption.

引用

页码：603 / 631

页数：29

共 6 条

[1] A DERIVATION OF THE BROADWELL EQUATION [J].

CAPRINO, S ;

DEMASI, A ;

PRESUTTI, E ;

PULVIRENTI, M .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 135 (03) :443-465

[2]

CERCIGNANI C, P NONLINEAR HYPERBOL, P47

[3] 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

[4] STATIONARY NONEQUILIBRIUM SOLUTIONS OF MODEL BOLTZMANN-EQUATION [J].

IANIRO, N ;

LEBOWITZ, JL .

FOUNDATIONS OF PHYSICS, 1985, 15 (05) :531-544

[5] GLOBAL VALIDITY OF THE BOLTZMANN-EQUATION FOR TWO-DIMENSIONAL AND 3-DIMENSIONAL RARE-GAS IN VACUUM - ERRATUM AND IMPROVED RESULT [J].

ILLNER, R ;

PULVIRENTI, M .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 121 (01) :143-146

[6]

LANFORD III O. E., 1975, LECT NOTE PHYS, V38, P1

← 1 →