| 耗散拟线性双曲型方程组的真空问题 |
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| 引用本文： | 郑永树.耗散拟线性双曲型方程组的真空问题[J].华侨大学学报(自然科学版),1992,13(4):442-447. |
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| 作者姓名： | 郑永树 |
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| 作者单位： | 华侨大学管理信息科学系 |
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| 摘 要： | 本文考虑耗散的η方程组初值问题的光滑解.我们得到,对于任意的大初值,如果初始数据离开真空,则初值问题的光滑解一致地(即与时间无关)离开真空.同时给出了整体光滑解存在性与非存在性的结果.
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| 关 键 词： | 耗散 拟线性 双曲型方程 真空问题 |
Vacuum Problem of Quasilinear Hyperbolic Systems with Dissipation |
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| Zheng Yongshu.Vacuum Problem of Quasilinear Hyperbolic Systems with Dissipation[J].Journal of Huaqiao University(Natural Science),1992,13(4):442-447. |
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| Authors: | Zheng Yongshu |
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| Institution: | Department of Management Information Science |
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| Abstract: | In this paper, the smooth solutions to the initial value problem of p-system with dissipation are considered and the results are obtained as follows. For arbitrary large initial data, if it is away from vacuum, the smooth solutions to the initial value problem are uniformly (namely, independent of time) away from vacuum. The results of both existence and non-existence of global smooth solutions are given simultaneously. |
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| Keywords: | dissipation quasilinear hyperbolic equation vacuum problem |
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