| GLOBAL DISCONTINUOUS SOLUTIONS TO A CLASS OF DISCONTINUOUS INITIAL VALUE PROBLEMS FOR THE SYSTEM OF ISENTROPIC FLOW AND APPLICATIONS~(***) |
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| 引用本文： | Li Daqian,Zhao Yanchun. GLOBAL DISCONTINUOUS SOLUTIONS TO A CLASS OF DISCONTINUOUS INITIAL VALUE PROBLEMS FOR THE SYSTEM OF ISENTROPIC FLOW AND APPLICATIONS~(***)[J]. 数学年刊B辑(英文版), 1989, 10(1): 1-18 |
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| 作者姓名： | Li Daqian Zhao Yanchun |
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| 作者单位： | Department of Mathematics and Institute of Mathematics Fudan University Shanghai China，Institute of Mathematics Fudan University Shanghai China |
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| 基金项目： | 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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| 摘 要： | 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 global discontinuous solutions only containing one shock in a class of piecewise continuous and piecewise smooth functions. As applications, various interaction problems of a typical shock with a rarefaction wave are considered.
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| 收稿时间： | 1986-02-27 |
GLOBAL DISCONTINUOUS SOLUTIONS TO A CLASS OF DISCONTINUOUS INITIALVALUE PROBLEMS FOR THE SYSTEM OF ISENTROPIC FLOW AND APPLICATIONS |
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| Li Daqian and 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,Series B, 1989, 10(1): 1-18 |
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| Authors: | Li Daqian and Zhao Yanchun |
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| Affiliation: | Department of Mathematics and Institute of Mathematics, Fudan University, Shanghai, China. and Institute of Mathematics, Fudan University, Shanghai, China. |
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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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