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Effect of evaporation or infiltration on the free surface of groundwater in certain problems of underground hydromechanics

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Abstract

Within the framework of the theory of plane steady filtration of an incompressible fluid according to Darcy’s law, two limiting schemes modeling the filtration flows under the Joukowski tongue through a soil massif spread over an impermeable foundation or strongly permeable confined water-bearing horizon are considered.

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References

  1. N. E. Joukowski, Infiltration of Water through Dams. Collected Works (Gostekhizdat, Moscow, 1950), Vol. 7, [in Russian].

  2. P. Ya. Polubarinova-Kochina, Theory of Motion of Soil Waters (Gostekhizdat, Moscow, 1952; Nauka, Moscow, 1977) [in Russian].

    Google Scholar 

  3. Development of Investigations on the Theory of Filtration in the USSR (1917–1967), Ed. by P. Ya.PolubarinovaKochina (Nauka, Moscow, 1967) [in Russian].

  4. P. Ya. Kochina, E. N. Bereslavskii, and N. N. Kochina, Analytical Theory of Linear Differential Equations of the Fuks Class and Certain Problems of Underground Hydromechanics. Preprint. No. 567 (In-t Problems of Mechanics of the RAS, Moscow, 1996), Part 1 [in Russian].

    Google Scholar 

  5. E. N. Bereslavskii and P. Ya. Kochina, Izv. Rus. Akad. Nauk. Mekh. Zhidk. Gaza, No. 5, 3 (1992).

    MathSciNet  Google Scholar 

  6. E. N. Bereslavskii and P. Ya. Kochina, Izv. Rus. Akad. Nauk. Mekh. Zhidk. Gaza, No. 5, 9 (1997).

    MathSciNet  Google Scholar 

  7. V. V. Golubev, Lectures on Analytical Theory of Differential Equations (Gostekhizdat, Moscow, 1950) [in Russian].

    MATH  Google Scholar 

  8. E. N. Bereslavskii, Prikl. Mat. Mekh. 53 (3), 455 (1989).

    MathSciNet  Google Scholar 

  9. E. N. Bereslavskii, Prikl. Mat. Mekh. 54 (5), 867 (1990).

    Google Scholar 

  10. E. N. Bereslavskii, Dokl. Phys. 43 (12), 775 (1998).

    ADS  Google Scholar 

  11. V. V. Vedernikov, Dokl. Akad. Nauk SSSR 23 (4), 335 (1939).

    Google Scholar 

  12. V. V. Vedernikov, Dokl. Akad. Nauk SSSR 59 (6), 1069 (1948).

    MathSciNet  Google Scholar 

  13. V. V. Vedernikov, Dokl. Akad. Nauk SSSR 69 (5), 619 (1949).

    MathSciNet  Google Scholar 

  14. F. B. Nel’son-Skornyakov, Izv. Akad. Nauk USSR, Otd. Tekh. Nauk, No. 1, 126 (1941).

    Google Scholar 

  15. F. B. Nel’son-Skornyakov, Izv. Akad. Nauk USSR. Otd. Tekh. Nauk, No. 3, 39 (1941).

    Google Scholar 

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Correspondence to E. N. Bereslavskii.

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Original Russian Text © E.N. Bereslavskii, 2016, published in Doklady Akademii Nauk, 2016, Vol. 468, No. 4, pp. 395–400.

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Bereslavskii, E.N. Effect of evaporation or infiltration on the free surface of groundwater in certain problems of underground hydromechanics. Dokl. Phys. 61, 279–284 (2016). https://doi.org/10.1134/S1028335816060033

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  • DOI: https://doi.org/10.1134/S1028335816060033

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