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| GLOBAL DISCONTINUOUS SOLUTIONS TO A CLASS OF DISCONTINUOUS INITIALVALUE PROBLEMS FOR THE SYSTEM OF ISENTROPIC FLOW AND APPLICATIONS |
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Citation： |
Li Daqian,Zhao Yanchun.GLOBAL DISCONTINUOUS SOLUTIONS TO A CLASS OF DISCONTINUOUS INITIALVALUE PROBLEMS FOR THE SYSTEM OF ISENTROPIC FLOW AND APPLICATIONS[J].Chinese Annals of Mathematics B,1989,10(1):1~18 |
| Page view： 759
Net amount： 714 |
Authors： |
Li Daqian; Zhao Yanchun |
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This research is supported by the National Natural Science Foundation of China and by a TWAS Research Grant under Contract No. 87-93. |
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| Abstract： |
In this paper, the authors discuss a kind of discontinuous initial value problems for the system of one-dimensional isentropic flow and prove the existence or nonexistence of globle discontinuous solutions only containing one shock in a class of piecewise continuous are piecewise smooth functions. As applications, various interaction problems of a typical shock with a rarefaction wave are considered. |
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