Deterministic and random approaches to the Derivation of kinetic and macroscopic equations

被引：0
|
作者：
Bardos, C [1 ]
机构：
[1] Univ Paris 06, CMLA, ENS Cachan & LAN, Paris, France
来源：
OPTIMAL CONTROL AND PARTIAL DIFFERENTIAL EQUATIONS: IN HONOR OF PROFESSOR ALAIN BENSOUSSAN'S 60TH BIRTHDAY | 2001年
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D O I：
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中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
Hierarchies of equations play an important role in the derivation of "coarser" models. This is in particular the case for the derivation of kinetic equations from Liouville equations. In this contribution the emphazis is put on the role of the randomness. One model is given which shows that the introduction of this randomness is compulsory to obtain the natural kinetic equation.
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页码：105 / 115
页数：11
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