Journal of Applied Mechanics and Technical Physics

, Volume 41, Issue 5, pp 930–936 | Cite as

Filtration of a liquid with free boundaries in unbounded regions

  • E. V. Gubkina
  • V. N. Monakhov


The variational method is used to solve problems of filtration of a liquid in unbounded regions (inflow of a liquid to a drain, filtration of a liquid through a plain earth dam on a permeable base, etc.).


Free Boundary Porous Layer Simple Polygon Interior Angle Filtration Theory 
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  1. 1.
    V. N. Monakhov,Boundary-Value Problems with Free Boundaries for Elliptic Systems of Equations [in Russian], Nauka, Novosibirsk (1977).Google Scholar
  2. 2.
    P. Ya. Polubarinova-Kochina,Theory of Motion of Ground Waters [in Russian], Gostekhteoretizdat, Moscow (1952).Google Scholar
  3. 3.
    V. I. Aravin and S. N. Numerov,Theory of Motion of Liquids and Gases in a Nondeformable Porous Medium [in Russian], Gostekhteoretizdat, Moscow (1953).Google Scholar

Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • E. V. Gubkina
    • 1
  • V. N. Monakhov
    • 2
  1. 1.Gorno-Altaisk State UniversityGorno-Altaisk
  2. 2.Lavrent’ev Institute of Hydrodynamics, Siberian DivisionRussian Academy of SciencesNovosibirsk

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