| 双层浅水波模型柯西问题的经典解 |
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| 引用本文： | 刘见礼,张小丹.双层浅水波模型柯西问题的经典解[J].数学学报,2015,58(6):985-992. |
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| 作者姓名： | 刘见礼 张小丹 |
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| 作者单位： | 上海大学数学系 上海 200444 |
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| 基金项目： | 国家自然科学基金资助项目(11401367);教育部博士点基金资助项目(20133108120002) |
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| 摘 要： | 主要研究浅水理论中双层浅水波模型柯西问题的经典解.在适当的初值条件下,得到整体经典解存在唯一性的充要条件.同时对单层浅水波模型也得到相应结果.
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| 关 键 词： | 柯西问题 经典解 浅水波方程 |
Classical Solutions to Cauchy Problem for the Model of Two-Layer Flows |
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| Jian Li LIU,Xiao Dan ZHANG.Classical Solutions to Cauchy Problem for the Model of Two-Layer Flows[J].Acta Mathematica Sinica,2015,58(6):985-992. |
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| Authors: | Jian Li LIU Xiao Dan ZHANG |
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| Institution: | Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | We consider classical solutions to Cauchy problem for the model of twolayer flows, which appears in shallow water theory. Under the appropriate assumptions on initial data, we can obtain the necessary and sufficient conditions of the global existence of C1 solutions. Furthermore, similar conclusion can be obtained for the system of one-layer flow. |
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| Keywords: | Cauchy problem classical solutions shallow water equations |
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