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Interaction of elementary waves on a boundary for a hyperbolic system of conservation laws

✍ Scribed by Aidi Yao; Wancheng Sheng

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
761 KB
Volume
31
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper, we study the interaction of elementary waves including delta‐shock waves on a boundary for a hyperbolic system of conservation laws. A boundary entropy condition is derived, thanks to the results of Dubois and Le Floch (J. Differ. Equations 1988; 71:93–122) by taking a suitable entropy–flux pair. We obtain the solutions of the initial‐boundary value problem for the system constructively, in which initial‐boundary data are piecewise constant states. Copyright Β© 2008 John Wiley & Sons, Ltd.

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