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Extremal estimates in the theory of freezing of filtering soils

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Abstract

The problem of obtaining the lower limit of the strength of cold sources necessary to maintain the equilibrium shape of a body of given crosssectional area is formulated.

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Literature cited

  1. I. D. Nasonov, Freezing of Filtering Soils [in Russian], Nedra, Moscow (1969).

    Google Scholar 

  2. V. A. Chugunov and K. G. Kornev, “Dynamics of ice-soil barriers in the freezing of filtering soils,” Inzh.-Fiz. Zh.,51, 305 (1986).

    Google Scholar 

  3. V. M. Aleksandrov and E. V. Kovalenko, Problems of Continuum Mechanics with Mixed Boundary Conditions [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  4. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  5. G. Pólya and G. Szegö, Isoperimetric Inequalities in Mathematical Physics, Princeton (1951).

  6. G. Pólya and G. Szegö, Problems and Theorems in Analysis, Springer-Verlag (1978).

  7. G. M. Goluzin, Geometric Theory of Functions of a Complex Variable [in Russian], Gostekhizdat, Moscow (1952).

    Google Scholar 

  8. W. K. Hayman, Multivalent Functions, Cambridge University Press (1954).

  9. A. V. Kosterin and É. V. Skvortsov, “Estimation of the minimum flow rate for a given area of the percolation zone,” in: Research on Subterranean Hydromechanics, No. 6 [in Russian], Publishing House of Kazan' State University, Kazan' (1983), p. 47.

    Google Scholar 

  10. V. M. Entov, A. V. Kosterin, and É. V. Skvortsov, “Estimation of percolation flow rates,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 80 (1986).

    Google Scholar 

  11. G. Birkhoff and E. H. Zarantonello, Jets, Wakes and Cavities, Academic Press (1957).

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Authors and Affiliations

  1. Kazan'

    G. K. Kornev

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  1. G. K. Kornev
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 97–102, July–August, 1989.

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Kornev, G.K. Extremal estimates in the theory of freezing of filtering soils. Fluid Dyn 24, 569–574 (1989). https://doi.org/10.1007/BF01052419

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  • DOI: https://doi.org/10.1007/BF01052419

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