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Interaction of elementary waves for equations of potential flow

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Abstract

Interaction of elementary waves for equations of unsteady potential flow in gas dynamics is considered. Under the assumptions on weakness of strength of the elementary waves the structure of solutions has been given in various cases of interaction of simple wave with shock, or interaction between simple waves or shocks. Hence the complete results on interaction of weak elementary waves for second-order equation of potential flow are obtained.

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Authors and Affiliations

  1. Institute of Mathematics, Fudan University, 200433, Shanghai, China

    Shuxing Chen & Hui Wang

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  1. Shuxing Chen
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  2. Hui Wang
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Project supported by the National Natural Science Foundation of China and the State Education Commission of China.

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Chen, S., Wang, H. Interaction of elementary waves for equations of potential flow. Sci. China Ser. A-Math. 40, 459–468 (1997). https://doi.org/10.1007/BF02896953

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  • DOI: https://doi.org/10.1007/BF02896953

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