Ukrainian Mathematical Journal

, Volume 28, Issue 5, pp 524–527 | Cite as

Two boundary problems of unsteady convective diffusion in the filtration of groundwater with a free surface

  • V. I. Lavrik
Brief Communications


Free Surface Boundary Problem Convective Diffusion Unsteady Convective Diffusion 
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Literature cited

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    N. N. Verigin, “Some problems of chemical hydrodynamics arising in melioration and hydraulic engineering,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, No. 10, 1369–1382 (1953).Google Scholar
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    I. I. Lyashko, I. M. Velikoivanenko, V. I. Lavrik, and G. E. Mistetskii, Majorant-Region Method in Filtration Theory [in Russian], Naukova Dumka, Kiev (1974).Google Scholar
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    V. I. Lavrik, “Filtration from a reservoir to a receiving channel with a significant level of contamination from the water-bearing levels,” Dop. Akad. Nauk URSR, No. 9, 1131–1135 (1963).Google Scholar
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    S. N. Numerov and A. N. Patrashev, “Diffusion of soluble materials in the foundations of hydraulic-engineering structures,” in: Proceedings of L'vov Polytechnic Institute [in Russian], No. 4 (1947), pp. 165–169.Google Scholar
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    A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1966).Google Scholar
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    V. I. Lavrik and O. F. Milyutin, “Ground desalination in filtration from a channel to a horizontal drain,” Dop. Akad. Nauk URSR, Ser. A, No. 10, 901–906 (1974).Google Scholar
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    V. I. Lavrik and P. A. Rudchenko, “Formulation and solution of problems on the diffusion of soluble materials in the filtration of groundwater.” in: Boundary Problems of Underground Hydrodynamics [in Russian], Izd. Instituta Matematiki Akad. Nauk UkrSSR (1975), pp. 42–57.Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • V. I. Lavrik
    • 1
  1. 1.Institute of MathematicsAcademy of Sciences of the Ukrainian SSRUkraine

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