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

Kyoto University
Laboratoire de Probabilités et Modèles Aléatoires
Pole Universitaire de Montfoulon

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

19 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Pages (de - à)	1581-1595
Nombre de pages	15
journal	Mathematical Models and Methods in Applied Sciences
Volume	11
Numéro de publication	9
Les DOIs	https://doi.org/10.1142/S0218202501001483
état	Publié - 1 déc. 2001

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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.",

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AU - Dogbe, Christian

AU - Golse, François

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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.

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

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