Stationary particle systems approximating stationary solutions to the Boltzmann equation

被引：21

作者：

Caprino, S

Pulvirenti, M

Wagner, W

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[2] Univ Rome La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

[3] Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1998年 / 29卷 / 04期

关键词：

stationary Boltzmann equation; diffusive boundary conditions; stochastic particle system; rate of convergence;

D O I：

10.1137/S0036141096309988

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that a regularized stationary Boltzmann equation with diffusive boundary conditions can be rigorously derived from a suitable stochastic N-particle system. To do this, we prove that the L-1-distance between the k-particle density and the k-fold product of the solution to the stationary Boltzmann equation is of order 1/N.

引用

页码：913 / 934

页数：22

共 17 条

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Arkeryd L, 1995, INDIANA U MATH J, V44, P815

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