On some related non homogeneous 3D Boltzmann models in the non cutoff case

被引：16
作者：
Alexandre, R [1 ]
机构：
[1] Univ Orleans, Dept Math, F-45067 Orleans 2, France
来源：
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY | 2000年 / 40卷 / 03期
关键词：
D O I：
10.1215/kjm/1250517678
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study some issues concerning the existence of weak solutions for two Boltzmann like equations: a Modified Boltzmann model and the Boltzmann Dirac model. The analysis of the collision operators rests on suitable decompositions. These are also provided for the Generalised Boltzmann operator. This study is performed without assuming Grad's angular cutoff hypothesis on the cross sections.
引用
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页码：493 / 524
页数：32
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