ÞÉÒÉÈÀÃÉ ÓÀÌÄÝÍÉÄÒÏ ÍÀÛÒÏÌÄÁÉÓ ÍÖÓáÀ

  1. Steady-state filtration from the channels. (Russian) Dissertation for the degree of candidate of the phys.-math. sciences. Institute of Mechanics of Acad. Sci. SSSR, Moscow, 1956, 167 p.

  2. On the iterative method of N. M. Gersevanov. (Russian) Prikl. Mat. Mekh. 26 (1957), No. 2, 291-296.

  3. Filtration from the channels of trapezoidal cross-section. (Russian) Izv. AN SSSR, Otdelenie Technich. Nauk, 1957, No. 3, 125-133.

  4. Steady-state filtration from the channels. (Russian) Thesis of the dissertation presented for the degree of the phys.-math. sciences, Moscow, 1957, 9 p.

  5. Semi-inverse method in the theory of filtration from curvilinear channels. (Russian) Izv. AN SSSR, Otdelenie Technich. Nauk, 1957, No. 4, 129-133.

  6. On one case of filtration from curvilinear channels in the case of hydrostatic upthrust. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 25 (1960), No. 3, 263-266.

  7. Filtration from the channels of small depth with regard for the slope of natural underground water stream. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 27 (1960), 359-366.

  8. Filtration from curvilinear channels in the presence of a strong water-permeable stratum of finite depth. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 27 (1962), No. 3, 265-272.

  9. Solution of the problem on filtration into the earth dam on a permeable base. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 29 (1963), 271-281.

  10. On filtration into the plane earth dam with horizontal drainage on a permeable base of finite depth. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 41 (1966), No. 3, 585-541.

  11. Solution of the problem on the filtration for the plane earth dam with a diaphragm on a water-permeable base of finite length. (Russian) Soobshch. Acad. Nauk Gruzin. SSR 46 (1967), No. 3, 567-574.

  12. On the filtration through a plane earth dam with two diaphragms. (Russian) Soobshch. Acad. Nauk Gruzin. SSR 47 (1967), No. 3, 535-540.

  13. On filtration into the plane earth dam on a water-permeable base of finite depth. (Russian) Trudy Tbiliss. Univ., Mat. Mekh. Astronom. 129 (1968), No. 6, 137-147.

  14. An the effective solution of the conjugacy problem for several unknown functions in the case of a piecewise constant matrix. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 35 (1969), 67-103.

  15. On the effective solution of the problem of conjugation. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 58 (1970), No. 1, 289-291.

  16. On the effective solution of some plane problems of the theory of filtration. (Russian) Soobshch. Acad. Nauk Gruzin. SSR 58 (1970), No. 2, 17-20.

  17. On the effective solution of the problem of linear conjugation in the case of piecewise constant matrix. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 39 (1971), 61-65.

  18. Underground water inflow to the drainage ditch of trapezoidal cross-section. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 39 (1971), 66-74.

  19. On the conformal mapping of a half-plane onto circular polygons. (Russian) Dokl. Akad. Nauk SSSR 211 (1973), 300-303; English transl.: Sov. Math., Dokl. 14 (1973), 1030-1034.

  20. Application of I. A. Lappo-Danilevskii's method in the determination of functions mapping a half-plane conformally on a circular-arc-sided polygon. Differ. Equations 10 (1974), 342-351.

  21. Solution of certain plane problems in filtration theory (the conformal mapping of arc polygons onto the half-plane). (Russian) Dokl. Akad. Nauk SSSR 215 (1974), 1325-1328; English transl.: Sov. Phys., Dokl. 19 (1974), 183-185.

  22. On filtration in dams with slopping backs. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 11 (1976), 94-104.

  23. On the conformal mapping of a half-plane onto circular quadrangles. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 84 (1976), No. 3, 553-556.

  24. On the conformal mapping of a half-plane onto circular polygons with cuts. (Russian) Differentsial’nye Uravnenija 12 (1976), No. 1, 2044-2051.

  25. On conformal mapping of a half-plane onto circular quadrangles. (Russian) Dokl. Akad. Nauk SSSR 233 (1977), No. 4, 563-566.

  26. On the conformal mapping of a half-plane onto circular polygons. (Russian) Trudy Tbiliss. Univ. Mat. Mekh. Astronom. 185 (1977), 65-89.

  27. On the filtration in trapezoidal plane earth dams. (Russian) Trudy Tbiliss. Univ. Mat. Mekh. Astronom. 210 (1980), No. 8, 12-42.

  28. On the filtration through a triangular kernel of the plane earth dams. (Russian) Trudy Tbiliss. Univ. Mat. Mekh. Astronom. 210 (1980), No. 8, 42-51.

  29. On the solution of Schwartz equation at the points at which the difference of roots of the defining equation is equal to an integer. (Russian) Soobshch. Acad. Nauk Gruzin. SSR 97 (1980), No.1, 37-40.

  30. On the effective method of solutions of problems of filtration in plane earth dams. Theses of Bull. of All-Union Symposium “Numerical Methods in Hydraulics”, Telavi, Georgian SSR, 1980, 184-185.

  31. The effective methods of solution of the problems of conformal mapping and the theory of filtration. (Russian) Dissertation for the degree of doctor of phys.-math. sciences. Inst. of Poblems of Mechanics. Acad. Sci. USSR, Moscow, 1980, 260 p.

  32. The effective methods of solution of the problems of conformal mapping and the theory of filtration. (Russian) Thesis of the dissertation for the degree of doctor of phys.-math. sciences. 01.02.05. Mechanics of liquid, gaz and plazma. Moscow, 1981.

  33. On the solution of some problems of the theory of filtration in a drainage channel of curvilinear cross-section (with N. P. Jorbenadze). (Russian) Soobshch. Akad. Nauk Gruzin. SSR 108 (1982), No. 3, 505-508.

  34. Application of the theory of linear differential equations with analytical coefficients to the solution of some plane problems of the theory of filtration. (Russian) Trudy Tbiliss. Univ. Mat. Mekh. Astronom. 259 (1985), 295-329.

  35. On the construction of analytic functions, mapping conformally a half-plane onto circular polygons. Differential Equations 21 (1985), No. 4, 646-655.

  36. Some problems of mechanical oscillations. Methodical instructions in theoretical mechanics (with N. Jorbenadze). (Georgian) Technical University Press, Tbilisi, 1986, p. 41.

  37. Solution of some plane problems of filtration by means of solutions of differential Fuchs class equations. Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 2 (1986), No. 2, 123-126.

  38. On one particular solution of spatial axially symmetric problems of the theory of filtration. Modern problems of mathematics and physics. Proc. All-Union Symposium I. Vekua Institute of Applied Mathematics, Tbilisi State University 2 (1987), 367-373.

  39. A new approach to the solution of one class of plane problems of the theory of filtration. (Russian) Trudy Tbiliss. Univ. Mat. Mekh. Astronom. 284 (1989), No. 25, 175-207.

  40. Application of the methods of complex analysis to the solution of one class of two-dimensional problems of filtration. Boundary value problems of filtration of underground waters. Kazan, Kazan State University, 1988, 72-73.

  41. Further development of P.Ja. Polubarinova-Kochina method and its application. Filtration and mass transfer in porous media. (Russian) Siberian Division of Acad. Sci. USSR, Novosibirsk, Vyp. 90 (1989), 133-143.

  42. On transformations of some circular polygons into linear ones. Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 5 (1990), No. 1, 193-196.

  43. The effective method of solutions of one class of plane problems of filtration. Georgian Technical University 379 (1991), No. 6, 13-20.

  44. Application of the methods of a complex analysis to the solution of one class of filtration problems with unknown boundaries. (Russian) Theses of the VII All-Union Congress in Theoretical and Applied Mechanics. Moscow, August 15-21, 1991, p. 359.

  45. A new method of solution of one class of the plane problems of filtration. Boundary value problems of filtration and their application. (Russian) Theses of the reports of the All-Union Conference. Kazan State Univ., Kazan, 1991, 23-27.

  46. On the problem of filtration from a system of channels. Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 7 (1992), No. 1, 71-75.

  47. New effective method of solution of one class of plane problems of filtration. Abstract, Continuum Mechanics and Related Problems of Analysis, “Metsniereba” Publishing House, Tbilisi, 1991, p. 14.

  48. Method of the explicit solution of one class of plane problems of the theory of filtration. (Russian) Soobshch. Akad. Nauk Gruzii 142 (1991), No. 2, 285-288.

  49. Some remarks to one method of solution of Fuchs class differential equation. (Russian) Soobshch. Akad. Nauk Gruzii 146 (1992), No. 3, 509-514.

  50. The effective methods of solution of a class of plane problems of the filtration theory. Continuum mechanics and related problems of analysis. Proc. of the Intern. Symp. dedicated to the centenary of Academician N. Muskhelishvili, Tbilisi, June 6-11, 1991, “Metsniereba” Publishing House, Tbilisi, 1993, 212-218.

  51. The flow with a segment stream separation with a wedge at the end. Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 8 (1993), No. 2, 99-102.

  52. Application of solutions of Schwartz differential equations to the theory of filtration. Abstracts, Differential Equations and Mathematical Physics. International Symposium dedicated to the 90th Birthday Anniversary of Academician I. Vekua 21.06.97-25.06.97, Tbilisi, 1997, p.169.

  53. Solution of the Schwartz differential equation. Mem. Differential Equations Math. Phys. 11 (1997), 129-156.

  54. On the problem of construction of the underground model of apron (with E. N. Bereslavskij and V. V. Matveev). (Russian) Dopov. Akad. Nauk Ukr., 1997, No. 9, 54-57.

  55. Solution of some filtration problems with partially unknown boundaries. Mem. Differential Equations Math. Phys. 15 (1998), 109-138.

  56. Methods of solution of one class of plane problems of filtration. Mathematical methods of filtration and their applications. Collection of scientific works. Russian Academy of Sciences. Siberian branch of M. A. Lavrent’ev Institute of Hydrodynamics, Novosibirsk, 1999, 177-188.

  57. On the modeling of the two-dimensional solar wind plasma flow around the Earth's magnetosphere (with A. Gvelesiani and R. Tsitskishvili). Journal Georgian Geophysical Society Issue B. Physics of Atmosphere, Ocean and Comic Rays, Vol. 4B, 1999, “Geoprint” Publishing House, Tbilisi.

  58. On the exact solution of the equations of viscous, compressible and conductive liquid motion (with A. Gvelesiani and R. Tsitskishvili). Journal Georgian Geophysical Society, Issue B. Physics of Atmosphere, Ocean and Cosmic Rays, Vol. 3B, 1998, "Geoprint" Publishing House, Tbilisi, 2000, 102-112.

  59. On the analytical solution of some mechanical ordinary nonlinear differential equations (with A. Gvelesiani and R. Tsitskishvili). Journal Georgian Geophysical Society, Issue B. Physics of Atmosphere, Ocean and Cosmic Rays, Vol. 3B, 1998, “Geoprint” Publishing House, Tbilisi, 2000, 123-131.

  60. Solutions of the problem of the theory of filtration through a plane earth dam (coffer-dam) when water depth in a downstream can be neglected. Proc A. Razmadze Math. Inst. 126 (2001), 75-96.

  61. On the motion of underground waters towards a slope of an earth structure. Proc. A. Razmadze Math. Inst. 128 (2002), 121-146.

  62. Connection between solutions of the Schwarz nonlinear differential equation and those of the plane problems filtration. Mem. Differential Equations Math. Phys. 28 (2003), 109-137.

  63. On the problem of filtration through the plane earth dam of trapezoidal form. (Russian) Proc. Georgian Technical Univ., 2003, No. 1.

  64. Influx of underground waters to a perfect water catcher of triangular shape (with N. Jorbenadze and R. Tsitskishvili). (Russian) Trudy Tbiliss. Univ. Mat. Mekh. Astron. 346 (2003).

  65. Solution of the two-dimensional problem of the theory of filtration through the plane earth dam of trapezoidal profile in the absence of leaking interval (with R. Tsitskishvili). Trudy Tbiliss. Univ. Mat. Mekh. Astron. 346 (2003).

  66. Extensions of a class of effectively solvable two-dimensional problems with partially unknown boundaries in the theory of filtration. Mem. Differential Equations Math. Phys. (accepted).