The Riemann problem with delta initial data for a class of coupled hyperbolic systems of conservation laws |
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Authors: | Hanchun Yang Wenhua Sun |
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Institution: | 1. Department of Mathematics, Yunnan University, Kunming 650091, China;2. Department of Mathematics, Shanghai University, Shanghai 200436, China |
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Abstract: | In this paper, we solve the Riemann problem with the initial data containing Dirac delta functions for a class of coupled hyperbolic systems of conservation laws. Under suitably generalized Rankine–Hugoniot relation and entropy condition, the existence and uniqueness of solutions involving delta shock waves are proved. Further, four kinds of different structure for solutions are established uniquely. |
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Keywords: | 35L65 76N15 |
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