Shock waves for the hyperbolic balance laws with discontinuous sources |
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| Authors: | Pingfan Tang Ya‐Guang Wang |
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| Institution: | 1. Department of Mathematics, Shanghai Jiao Tong University, , Shanghai, 200240 China;2. Department of Mathematics, MOE‐LSC, Shanghai Jiao Tong University, , Shanghai, 200240 China |
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| Abstract: | In this paper, we are concerned with the behavior of shock waves in a 2 × 2 balance law with discontinuous source terms. We obtain the existence of a local shock wave solution of this problem and deduce that the discontinuous source terms create a weak discontinuity in this solution. Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | balance law Riemann problems discontinuous source terms shock waves |
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