Prof. Tengiz Gegelia

(28.1. 1928, village Patara Jikhaishi -
20.06. 1994, Tbilisi)



EDUCATION AND SCIENTIFIC DEGREES

1935-1945 Pupil of Patara Jikhaishi secondary school
1945-1950 Student of Tbilisi State University, Faculty of Physics and Mathematics
1950 Diploma in Mathematics, Tbilisi State University
1951-1954 Post-graduate student of Tbilisi State University
1954 Ph. D. in Mathematics, Tbilisi State University
1964 Dr. Sci. (Phys. & Math.), Tbilisi State University
1967 Full Professor of Tbilisi State University



POSITIONS HELD AND ACADEMIC EXPERIENCE

1949-1951 Senior Assistent at the Chair of Mathematics and Mechanics of Tbilisi State University
1951-1956 Assistent at the Chair of Differential and Integral Equations of Tbilisi State University
1956-1958 Junior researcher of A. Razmadze Mathematical Institute
1958-1966 Senior researcher of A. Razmadze Mathematical Institute
1966-1980 Head of the Department of Continuum Mechanics of Institute of Applied Mathematis
Head of the Chair of Theoretical Mechanics of Tbilisi State University (1966-1972)
1980-1994 Head of the Chair of Differential and Integral Equations of Tbilisi State University
Head of the Department of Continuum Mechanics of A. Razmadze Mathematical Institute



RESEARCH INTERESTS

Theory of partial differential equations and integral equations, General theory of spatial boundary value problems. Basic three-dimensional problems of the mathematical theory of elasticity and thermoelasticity.



MEMBERSHIP IN SCIENTIFIC ACADEMIES

Corresponding Member of the Georgian Academy of Sciences, 1974



PRIZES AND AWARDS

MEMBERSHIP IN SCIENTIFIC SOCIETIES



MAIN PUBLICATIONS

(i) Monographs

  1. Three-dimensional Problems of the Mathematical Theory of Elasticity (with V. D. Kupradze, M. O. Basheleishvili, T. V. Burchuladze). (Russian) Tbilisi, Gos. Yniversitet, 1968, pp. 627
  2. Wybrane zagadnienia teorii sprezystosci i termosprezystosci. (with V. D. Kupradze, M. O. Basheleishvili, T. V. Burchuladze). Zaklad. Narodowy Imienia Ossolinkich Wydawnictwe Polskej Akademij Nauk, Warszawa, 1970.
  3. Three-dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity (with V. D. Kupradze, M. O. Basheleishvili, T. V. Burchuladze). (Russian) Moscow, Nauka, 1976, pp. 663.
  4. Three-dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity (with V. D. Kupradze, M. O. Basheleishvili, T. V. Burchuladze) . North-Holland Publ. Comp., Amsterdam, 1979, pp. 929.
  5. Development of the potential method in the theory of elasticity. (with T. V. Burchuladze) . (Russian) Metsniereba, Tbilisi, 1985 pp. 226.

    (ii) Papers


  6. On some singular integral equations of particular form. (Russian) Soobshch. Akad. Nauk Gruzin. SSR, 13 (1952), 581-586.
  7. Hilbert's boundary value problem and singular integral equations in the case of intersecting contours. (Russian) Soobshch. Akad. Nauk Gruzin. SSR, 15 (1954), 69-76.
  8. On boundary values of Cauchy type integrals for unsmooth surfaces. (Russian) Soobshch. Akad. Nauk Gruzin. SSR, 15 (1954), 481-488.
  9. On a generalization of G. Giraud's theorem. (Russian) Soobshch. Akad. Nauk Gruzin. SSR, 16 (1955), 657-663.
  10. On the properties of certain classes of continuous functions under the Hilbert transformation in En. (Russian) Soobshch. Akad. Nauk Gruzin. SSR, 19 (1957), No. 3, 257-261.
  11. The fundamental lemma of I. I. Privalov for space potentials. (Russian) Soobshch. Akad. Nauk Gruzin. SSR, 18 (1957), 257-264.
  12. Boundedness of singular operators. (Russian) Soobshch. Akad. Nauk Gruzin. SSR, 20 (1958), 517-523.
  13. Behaviour of a generalized potential near the boundary of the region of integration. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR,26 (1959), 195-225.
  14. Differential properties of some integral transforms. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk. Gruzin. SSR, 26 (1959), 195-225.
  15. Composition of singular kernels. (Russian) Dokl. Akad. Nauk SSSR,135 (1960), No. 4, 767-770.
  16. Integral equations containing integrals taken over a surface with edges. (Russian)Dokl. Akad. Nauk SSSR, 141 (1961), 773-776.
  17. Properties of n-dimensional singular integrals in the space Lp(S;r)-(Russian) Dokl. Akad. Nauk SSSR, 139 (1961), No. 2, 279-282.
  18. On the boundary values of potential type functions. (Russian) Trudy Vychisl. Tsentra Akad. Nauk Gruzin. SSR, 2 (1961), 285-313.
  19. On the formula for the change of integration order in iterated singular integrals. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR , 28 (1962), 41-52.
  20. Some fundamental boundary value problems in elasticity theory in space. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk. Gruzin. SSR, 28 (1962), 53-72.
  21. Differentiability properties of solutions of singular surface integral equations. (Russian) Trudy Gruz. Polytekhn. Inst., 81 (1962), No. 1, 69-78.
  22. On the regularization of singular integral operators. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk. Gruzin. SSR, 29 (1963), 229-287.
  23. On an inversion formula of A. Bitsadze. (Russian) Trudy Vychisl. Tsentra Akad. Nauk Gruzin. SSR, 3 (1963), 81-87.
  24. On the fundamental three-dimensional boundary value problems for composite isotropic elastic media (with M. O. Basheleishvili). (Russian) Dokl. Akad. Nauk SSSR , 160 (1965), 50-53.
  25. On a certain property of solutions of singular integral equations. (Russian) Trudy Tbiliss. Univ. Mat. Mekh. Aatronom., 110 (1965), 43-56.
  26. Certain classes of functions and their properties. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR, 32 (1967), 94-139.
  27. Some boundary value problems of the moment theory of elasticity (with M. O. Basheleishvili and O. I. Maisaia). (Russian) Annot. Dokl. Sem. Inst. Prikl. Mat. I.N. Vekua, 1 (1970), 43-54.
  28. On the axiomatic theory of an elastic state (with O. I. Maisaia). (Russian) Annot. Dokl. Sem. Inst. Prikl. Mat. I.N. Vekua, 3(1970), 33-39.
  29. Investigation of the basic dynamic problems of the theory of elasticity for infinite domains. (Russian) ( In: Continuum Mechanics and Related Problems of Analysis. To the 80th Birthday Anniversary of N. I. Muskhelishvili, Nauka, Moscow, 1972.
  30. Investigation of the third and fourth three-dimensional boundary value problems of statics of an anisotropic elastic body. (Russian) Trudy Inst. Prikl. Mat. I.N.Vekua., 3 (1972), 29-67.
  31. A system of two-dimensional singular integral equations. (Russian) (Trudy Inst. Prikl. Mat. I.N.Vekua, 3 (1972), 69-72.
  32. Annot. Dokl. Sem. Inst. Prikl. Mat. I.N. Vekua, 9 (1974), 15-19.
  33. The existence theorems of solutions of the basic dynamic problems for inhomogeneous anisotropic unbounded media. (Russian) Dokl. Akad. Nauk SSSR, 224 (1975), No. 6.
  34. Basic static problems of elastic micropolar media. Arch. Mech. (Arch. Mech. Stos.), 28 (1976), No. 1, 89-104.
  35. On the stability of solutions of the basic problems of the elasticity theory. (Russian) In: Teoretichna i Prilozhna Mekhanika., Sofia, 1977, 62-69.
  36. Some boundary value problems for micropolar media that are bounded by several surfaces. (Russian) In: Investigation of some problems in thermoelasticity theory and moment elasticity theory. (Russian), Inst. Prikl. Mat. I.N. Vekua, Tbilisi, 1977, 3-32.
  37. On the investigation and approximate solution of the fundamental boundary value problems for an inhomogeneous equation of the elasticity theory. (Russian) Trudy Inst. Prikl. Mat. I.N.Vekua, 5-6 (1978), 93-100.
  38. On the fundamental problems of the dynamic state of unbounded elastic media (with O. I. Maisaia). (Russian) In: Complex Analysis and Its Applications. Dedicated to Acad. I. N. Vekua's 70th Birthday. Nauka, Moscow, , 1978, 151-159.
  39. An algorithm of approximate calculation of potential-type singular integrals and their applications (with T. Zviadadze). Springer Verlag,, 1979.
  40. Randaufgaben der Elastizitatstheorie mit Beruckichtigung der Ubertragung. 7 Tagung Ueber probleme und methoden der Mathematischen Physik. Technische Hochschule, Karl-Marks-Stadt, 1979.
  41. Integral equations (with B. V. Khvedelidze, M. I. Imanaliev, A. A. Babaev, A. I. Batashev). (Russian) Differentsialnye Uravneniya, 18 (1982), No. 12, 2050-2069.
  42. Numerical solutions of the basic problems of the elasticity theory by the method of boundary integral equations. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze. Akad. Nauk Gruzin. SSR, 73 (1983), 45-54.
  43. Investigation of boundary value problems of a viscous incompressible micropolar fluid (with R. K. Chichinadze). (Russian) Soobshch. Akad. Nauk Gruzin. SSR, 110 (1983), No. 3, 485-488.
  44. Boundary value problems for steady flow of a viscous incompressible micropolar fluid (with R. K. Chichinadze). ( Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk. Gruzin. SSR, 75 (1984), 111-132.
  45. Potential method in the theory of elasticity. (Russian) Differentsialnye Uravneniya, 20 (1984), No. 9, 1475-1488.
  46. The character of the isolated singularities of a system of equations of elasticity theory (with T. Buchukuri). (Russian) Soobshch. Akad. Nauk Gruzin. SSR, 125 (1987), No. 3, 501-504.
  47. Asymptotic behaviour of solutions of fundamental equations of statics in elasticity theory near the isolated singularities and at infinity and its applications (with T. Buchukuri). (Russian) Current Problems in Mathematical Physics, Tbilisi, 2, (1987), 169-179.
  48. Qualitative properties of solutions of the fundamental equations of the theory of elasticity near singular points ( with T. Buchukuri). (Russian) Trudy Tbiliss. Mat. Inst. Razmadze. Akad. Nauk Gruzin. SSR, 90 (1988), 40-67.
  49. Uniqueness of solutions of fundamental problems in elasticity theory for infinite domains (with T. Buchukuri). (Russian) Differentsialnye Uravneniya, 25 (1989), No. 9, 1556-1565.
  50. Boundary value problems in elasticity theory with concentrated singularities (with T. Buchukuri). (Russian) Differentsialnye Uravneniya, 25 (1989), No. 10, 1746-1756.
  51. On uniqueness theorems for the external problems of the couple-stress theory of elasticity (with T. Buchukuri). Georgian Math. J., 1 (1994), No. 2, 127-140.
  52. Potential methods in continuum mechanics (with L. Jentsch). Georgian Math. J. 1 (1994), No. 6, 599-640.
  53. Uniqueness theorems in linear theory of microporous solids (with L. Jentsch). Z. Anal. Anwendungen 13 (1994), no. 1, 73-82.
  54. Boundary value problems of mechanics of continuum media for a sphere (with R. Chichinadze). Mem. Differential Equations Math. Phys. 7 (1996), 1-222.
  55. Some dynamic problems of the theory of electroelasticity (with T. Buchukuri). Mem. Differential Equations Math. Phys., 10 (1997), No. 1, 1-53.