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含多种多孔介质区域中流体的流动 被引量：1

Flow of the Fluid in a Domain Filled with Different Kinds of Porous Mediums
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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。 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.
作者 谭启建
机构地区 成都师范学院数学系
出处 《成都师范学院学报》 2013年第5期105-108,共4页 Journal of Chengdu Normal University
基金 四川省教育厅项目(10ZC127) 成都师范学院重点项目(CSYXM12-06)
关键词 多孔介质 间断系数 Darcy定律 porous medium discontinuous coefficients Darcy＇s law
分类号 O175.26 [理学—基础数学]
  • 相关文献

参考文献9

  • 1Bear J. Dynamics of Fluids in Porous Media[M].New York:American Elzevier Publishing Company Inc,1972.
  • 2Pao C V. Nonlinear Parabolic and Elliptic Equations[M].New York:Plenum Publishing Corporation,1992.1-25.
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二级参考文献6

  • 1白东华，四川大学学报，1991年，28卷，1期，1页
  • 2李竞生，多孔介质流体动力学
  • 3白东华，四川大学学报，1993年，28卷，2期，151页
  • 4白东华，四川大学学报，1993年，30卷，2期，154页
  • 5白东华，四川大学学报，1991年，28卷，1期，1页
  • 6李竞生，多孔介质流体动力学

共引文献3

同被引文献15

  • 1Evans L C.A free boundary problem:the flow of two immiscible fluids in a one-dimensional porous medium I [ J ].Indiana Univ Math J,1977,26(5):914-932.
  • 2Kim K,Lin Z.A free boundary problem for a parabolic system describing an ecological model[ J].Nonlinear Analysis:Real Word Applications,2009,(10):428-436.
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  • 5Boyadjiev G,Kutev N.Diffraction problems for quasilinear reaction-diffusion systems [ J].Nonlinear Analysis:Theory,Methods and Applications,2003,55(7):905-926.
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  • 7Ladyzenskaya O A,Solonnikov V A,Ural' ceva N N.Linear and Quasilinear Equations of Parabolic Type [ M].Providence:American Mathematical Society,1968.
  • 8Ladyzenskaya O A,Ural' ceva N N.Linear and Quasilinear Elliptic Equations [ M ].New York:Academic Press,1968.
  • 9Ladyzenskaya O A,Ryvkind V Ja,Ural' ceva N N.Solvability of diffraction problems in the classical sense[ J].Trudy Mat Inst Steklov,1966,(92):116-146(in Russian).
  • 10Yi F.Global classical solution of Muskat free boundary problem [ J ].Journal of mathematical analysis and applications,2003,288(2):442-461.

引证文献1

成都师范学院学报
2013年 第5期

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