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

Kazuo Aoki; Claude Bardos; Christian Dogbe; François Golse

doi:10.1142/S0218202501001483

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

Kazuo Aoki, Claude Bardos, Christian Dogbe, François Golse

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	1581-1595
Number of pages	15
Journal	Mathematical Models and Methods in Applied Sciences
Volume	11
Issue number	9
DOIs	https://doi.org/10.1142/S0218202501001483
Publication status	Published - 1 Dec 2001

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title = "A note on the propagation of boundary induced discontinuities in kinetic theory",

abstract = "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.",

author = "Kazuo Aoki and Claude Bardos and Christian Dogbe and Fran{\c c}ois Golse",

year = "2001",

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AU - Aoki, Kazuo

AU - Bardos, Claude

AU - Dogbe, Christian

AU - Golse, François

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Y1 - 2001/12/1

N2 - 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.

AB - 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.

U2 - 10.1142/S0218202501001483

DO - 10.1142/S0218202501001483

M3 - Article

AN - SCOPUS:0035732904

SN - 0218-2025

VL - 11

SP - 1581

EP - 1595

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

IS - 9

ER -

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

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