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渗流方程的第二边值问题 被引量：3

The second boundary value problem of infiltration equation
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摘要 运用上、下解及闸函数讨论了渗流方程的第二边值问题解的存在性、唯一性及非饱和区域在有限时间消失的条件。 In this paper (i)A we prove the existence. The uniqueness (ii)A we discuss the condition under which the set ｛x｜c(u(x,t))<1｝ vanish in some finite time.
作者 师建国 赵占平
机构地区 驻马店师专数学系
出处 《河南科学》 2003年第4期379-384,共6页 Henan Science
关键词 渗流方程 第二边值问题 解 存在性 唯一性 非饱和区域 上解 下解 闸函数 existence uniqueness non-saturated area
分类号 O175.8 [理学—基础数学]
  • 相关文献

参考文献8

  • 1Su Ning, Li JianGuo. The boundary value problems for the filtration equation in partially saturated porous media[J]. Acta Math Appl sinica(English series), 1984, 1(2):180-192.
  • 2Xiao ShuTie, Huang ZhiDa, Zhou ChuanZhong. The infiltration problem with constant rate in partially saturated porous media[J]. Acta Math Appl Sinica(English series), 1984, 1(2):108-126.
  • 3LadyzensKaia O A, Solonnikov V A, Ural' ceva N N. Linear and Quasilinear Equation of parabolic Type, Translation of Mathematical Monographs, Volume 23[M]. Providence, R I. American Mathematical .society, 1968.
  • 4Van Duyn C J. Nonstationary filtration in partially Saturated. Porous media: Continuity of the free boundary[J]. Arch Rat Mech Anal, 1982,19(3) :261 - 265.
  • 5Van Duyn C J. Hulshof J. An elliptic-parabolic problem with a non-local boundary condition[J]. Arch Rat Meeh Anal, 1987,99(1):61-73.
  • 6An LianJun; some Properties of the solution of a filtration problem in partially saturated porous media[J]. Acta Math Appl Sinica(English series), 1984,1 ( 1 ) :44 - 56.
  • 7An LianJun. The infiltration problem with Large constant surface flux in partially saturated porous media[J]. Acta Math Appl Sinica(English series), 1985,2(4) :332 - 345.
  • 8Li JianGuo, Su Ning. The solution of an infiltration problem with ponded surface, flux condition[J]. Acta. Math Appl Sinica(English ,series), 19852( 1 ) :54 - 65.

同被引文献11

  • 1师建国,赵占平.渗流方程的第一边值问题[J].河南科学,2004,22(5):583-588. 被引量：2
  • 2Van Duyn CJ.Nonstationary filtration in partially Saturated. porous media: Continuity of the free boundary[J]. Arch Rat Mech Anal, 1982,19(3):261-265.
  • 3Van Duyn CJ. Hulshof J. An elliptic-parabolic problem with a non-local boundary condition[J]. Arch Rat Mech Anal,1987,99(1):61-73.
  • 4An LianJun; some Properties of the solution of a filtration problem in partially saturated porous media[J].Acta Math Appl Sinica(English series),1984,1(1):44-56.
  • 5An LianJun. The infiltration problem with Large constant surface flux in partially saturated porous media[J].Acta Math Appl Sinica(English series),1985,2(4):332-345.
  • 6Li JianGuo,Su Ning.The solution of an infiltration problem with ponded surface,flux condition[J].Acta. Math Appl Sinica (English series),1985,2(1):54-65.
  • 7Su Ning, Li JianGuo. The boundary value problems for the filtration equation in partially saturated porous media[J].Acta Math Appl sinica(English series), 1984,1(2):180-192.
  • 8Xiao ShuTie, Huang ZhiDa, Zhou ChuanZhong. The infiltration problem with constant rate in partially saturated porous \{media[J].\} Acta Math Appl Sinica (English series),1984,1(2):108-126.
  • 9LadyzensKaja O A,Solonnikov V A, Ural' ceva N N. Linear and Quasilinear Equation of parabolic Type, Translation of Mathematical Monographs, volume 23[M]. providence, RI.American Mathematical society,1968.
  • 10An Lian Jun. Some properties of the solution of a filtration problem in partially saturated porous media[J]. Acta Math Appl Sinica(English Series), 1984,1(1):44-56.

引证文献3

二级引证文献2

河南科学
2003年 第4期

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