Interaction of elementary waves on a boundary for a hyperbolic system of conservation laws |
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| Authors: | Aidi Yao Wancheng Sheng |
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| Affiliation: | Department of Mathematics, Shanghai University, Shanghai 200444, People's Republic of China |
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| 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 © 2008 John Wiley & Sons, Ltd. |
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| Keywords: | interaction of elementary waves delta‐shock wave nonstrictly hyperbolicity entropy– flux pair entropy boundary condition |
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