| 多孔介质中可压缩流体力学方程组经典解的整体存在性与破裂现象 |
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| 引用本文： | 刘法贵,孔德兴.多孔介质中可压缩流体力学方程组经典解的整体存在性与破裂现象[J].应用数学和力学,2004,25(6):643-652. |
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| 作者姓名： | 刘法贵 孔德兴 |
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| 作者单位： | 华北水利水电学院 数学与信息科学系,郑州 450008;2.上海交通大学 应用数学系,上海 200030 |
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| 基金项目： | 国家自然科学基金资助项目(10001024)，国家基础研究资助课题(G2000077306) |
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| 摘 要： | 利用拟线性双曲型方程组极值原理,改进了HSIAO Ling和D.Serre得到的关于多孔介质中可压缩流体力学方程组解的存在性结果,给出了其Cauchy问题的一个关于经典解整体存在和破裂的完整结果．这些结果说明强耗散有助于“小”解的光滑性．
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| 关 键 词： | 多孔介质 可压缩流体力学 方程组 经典解 整体存在性 破裂 |
| 文章编号： | 1000-0887(2004)06-0643-10 |
| 收稿时间： | 2001-11-27 |
| 修稿时间： | 2001年11月27 |
Global Existence and Blow-up Phenomena of Classical Solutions for the System of Compressible Adiabatic Flow Through Porous Media |
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| LIU Fa_gui,KONG De_xing.Global Existence and Blow-up Phenomena of Classical Solutions for the System of Compressible Adiabatic Flow Through Porous Media[J].Applied Mathematics and Mechanics,2004,25(6):643-652. |
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| Authors: | LIU Fa_gui KONG De_xing |
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| Institution: | Department of Mathematics and Information Sciences, North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450008, P. R. China; |
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| Abstract: | By means of maximum principle for nonlinear hyperbolic systems, the results given by HSIAO Ling and D. Serre was improved for Cauchy problem of compressible adiabatic flow through porous media, and a complete result on the global existence and the blow_up phenomena of classical solutions of these systems. These results show that the dissipation is strong enough to preserve the smoothness of 'small' solution. |
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| Keywords: | porous media compressible adiabatic flow system of equations classical solution global existence blow-up |
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