| 双曲型方程组的一类自由边界问题 |
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| 引用本文： | 郭宝琦,陈小宏.双曲型方程组的一类自由边界问题[J].哈尔滨工业大学学报,1988(2). |
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| 作者姓名： | 郭宝琦 陈小宏 |
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| 作者单位： | 哈尔滨工业大学数学教研室
(郭宝琦)，淮北煤师院数学系(陈小宏) |
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| 摘 要： | 本文研究了由管内可压缩流体推动活塞运动所引出的一类双曲型偏微分方程组的单相自由边界问题,用特征线方法逐次延拓地证明了问题的解的存在性和唯一性,并证明了解对数据的连续依赖性。
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| 关 键 词： | 偏微分方程 自由边界问题 |
Free Boundary Problem in a Hyperbolic System of Equations |
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| Guo Baoqi Chen Xiaohcng.Free Boundary Problem in a Hyperbolic System of Equations[J].Journal of Harbin Institute of Technology,1988(2). |
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| Authors: | Guo Baoqi Chen Xiaohcng |
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| Affiliation: | Guo Baoqi Chen Xiaohcng |
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| Abstract: | This paper discusses the problem of single-phase free boundary in a first order hyperbolic system of equations which originate from the movement of a piston propelled by a compressible fluid flow in a tube, The existence and uniqueness of its solution are proved by using the method of characteristic lines. The continuous dependence of the solution on data is also proved. |
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| Keywords: | Partial differential equation Free boundary problem |
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