A note on the propagation of boundary induced discontinuities in kinetic theory

被引：17

作者：

Aoki, K ^{[1
]}

Bardos, C

Dogbe, C

Golse, F

机构：

[1] Kyoto Univ, Grad Sch Engn, Dept Aeronaut & Astronaut, Kyoto 6068501, Japan

[2] Univ Paris 07, UFR Math, F-75231 Paris 05, France

[3] IUT Alencon, F-61250 Damigny, France

[4] Inst Univ France, F-75230 Paris 05, France

[5] Ecole Normale Super, Dept Math & Applicat, F-75230 Paris 05, France

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2001年 / 11卷 / 09期

关键词：

D O I：

10.1142/S0218202501001483

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study, on a very simple kinetic model, the flow structure induced by a discontinuity of the boundary data. The model considered is a stationary one-speed transport equation posed in a half-plane; for simplicity, the boundary data consist of the number density of incoming particles. The propagation of singularities is studied with the velocity averaging method.

引用

页码：1581 / 1595

页数：15

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