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含多种多孔介质区域中流体的流动
引用本文:谭启建.含多种多孔介质区域中流体的流动[J].四川教育学院学报,2013,29(5):105-108.
作者姓名:谭启建
作者单位:成都师范学院数学系,成都,611130
基金项目:四川省教育厅项目,成都师范学院重点项目
摘    要:利用Darcy定律和质量守恒定律,得到了含多种多孔介质区域中可压缩流体流动的数学模型;在适当的假设条件下,利用上下解方法,得到了模型解的存在唯一性。

关 键 词:多孔介质  间断系数  Darcy定律

Flow of the Fluid in a Domain Filled with Different Kinds of Porous Mediums
TAN Qi-jian.Flow of the Fluid in a Domain Filled with Different Kinds of Porous Mediums[J].Journal of Sichuan College of Education,2013,29(5):105-108.
Authors:TAN Qi-jian
Institution:TAN Qi-jian (Department of Mathematics, Chengdu Normal University, Chengdu 611130, China)
Abstract:By using Darcy's law and the law of mass conservation, this paper gets the mathematical model of the flow of the compressible fluid in a domain filled with different kinds of porous mediums. By the method of upper and lower solutions this paper obtains the existence and uniqueness of the solutions under some suitable assumptions.
Keywords:porous medium  discontinuous coefficients  Darcy's law
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