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Bulletin of the Institute of
Mathematics Academia Sinica
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2007 / June Volume 2 No.2
Kinetic profiles for shock waves of scalar conservation laws
Published Date
2007 / June
Title
Kinetic profiles for shock waves of scalar conservation laws
Author
C. M. Cuesta, C. Schmeiser
Keyword
Shock waves, kinetic BGK model, scalar conservation laws
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Pagination
391-408
Abstract
The subject of this work are one-dimensional kinetic BGK models, regarded as relaxation models for genuinely non-linear scalar conservation laws. Kinetic profiles of shock waves in the form of travelling wave solutions of the kinetic model are studied. In particular, recent results on the existence and dynamic stability of small amplitude travelling waves are reviewed, and a new result on the existence of big travelling waves is proven.
Received
2004-12-01
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