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一类渗流模型弱解的存在性 被引量：1

The Existence of the Weak Solution of the Infiltration Model
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摘要 主要研究三维渗流数学模型弱解的存在性,通过求问题(In)的古典解的弱极限得到问题(I)的弱解的存在性,并得到相应的比较原则. In this paper, the existence of the weak solution of the infiltration problem （I） is discussed. By the weak limit of the classical solution of the problem （ In ） to obtain the existence of the weak solution of the problem （I）, furthermore the Comparison Principle are proved correspondingly.
作者 方平 周裕中 张昕 宋瑞凤
机构地区 华南农业大学理学院
出处 《江西师范大学学报（自然科学版）》 CAS 北大核心 2009年第4期467-470,共4页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 国家自然科学基金(10871075) 华南农业大学校长基金(4900-K07277)资助项目
关键词 渗流模型 弱解 存在性 比较原则 infiltration model weak solution existence comparison principle
分类号 O175.2 [理学—基础数学]
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参考文献11

  • 1Xiao Shu-tie, Huang: Zhi-da,Zhou Chuan-zhong. The infiltration problem with constant rate in partially saturated porous media[ J]. Actra Math Appl Sinica, 1984,1 (2) : 108-126.
  • 2Oleinik O A, Kalasnikov A S, Czou Yui-lin. The Cauchy problem and boundary problem for equations of the type of non-stationary filteration[ J]. Izv Akad Nauk SSSR Ser,1958,22:667 -704.
  • 3Sabenina E S. On the Cauchy problem for the equation of nonstationary gas filtration in several space variable[J]. Dokl Akad Nauk SSSR, 1961,136 : 1034-1037.
  • 4Aronson D G. Regularity properties of flows through porous media [ J ]. SIAM J Appl Math, 1969,17:461-467.
  • 5Su Ning, Li Jian-gou. The boundary value problem for the filtration equation in partially saturated porous media[ J ], Acta Math Appl Sinica, 1984,1 (2) : 180-192.
  • 6Wang Shu-qiao. Support of weak solution of the filtration equation in one dimension [ J ]. Acta Math Appl Sinica, 1983,26 (2) :t99- 219.
  • 7Alt H W, Luckhaus S. Quasilinear elliptic-parabolic differential equations [ J ]. Math Z, 1983,183:311-341.
  • 8Peletier L A. A necessary and sufficient condition for existence of an interface in flows through porous media[ J ]. Arch Rat Mech Anal, 1974,56:183-190.
  • 9An Liangjun. The infiltration problem with large conatant surface flux in partially saturated porous media[J]. Acta Math Appl Sinica, 1985,2(4) :332-345.
  • 10Kalasnikov A S. On the differential properties of generallized solutions of equations of the nonsteadystate fdtration type[ ] ]. Vest Mosk univ Math, 1974,29:62-68.

同被引文献6

  • 1OLEINIK O A, KALASNIKOV A S, CZOU Yui - lin. The cauchy problem and boundary problem for equations of the type of non - stationary fiheration [J].Izv Akad Nauk Sssr Ser, 1958,22:667 - 704.
  • 2XIAO Shutie, HUANG Zhida, ZHOU Chuanzhong. The infiltration problem with constant rate in partially saturated porous media[J]. Acta Math Appl Sinica, 1984, 1 (2) : 108 - 126.
  • 3XIAO Shutie, HUANG Zhida. One dimensional filtration problem in partially saturated porous media [J ]. Acta Math Appl Sinica, 1996,12(4) :418 - 426.
  • 4ZHANG Daowen. The propagating speed problem of solutions to the filtration equation in N - dimensional porous medium [ D ]. Beijing: Peking University, 1986.
  • 5GILDING B H. A nonlinear degenerat parablic equations [J]. Anali Della Scuo Nor Sup Di Pisa, 1977,4:393 - 432.
  • 6LADYZHENSKAJA O A, SOLONNIKOV V A, URAL' CEVA N N. Linear and quasilinear equations of parabolic type [ M ]. Providence : American Mathematical Society, 1968.

引证文献1

江西师范大学学报（自然科学版）
2009年 第4期

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