The List of Scientific Research Works of

Prof. GIORGASHVILI L.G.

 

  1. On the problems of diffraction. Transactions of IAM of GSU, 1972, N3, pp. 73-85.
  2. Boundary-contact static problems of the moment theory of elasticity for piecewise- homogeneous isotropic solids. Summary of report of seminar IAM of GSU, 1973, N7, pp.33-44.
  3. On one variant boundary-contact problem for compound isotropic surrpundings of static moment theory of elasticity. Summary of reports of seminar IAM of GSU, N8, pp.53-63.
  4. Efficient solution of boundary problems of static’s of the moment theory of elasticity for the circle disk and for the infinite region with the circle hole. Researches of some equations of math. Physics. TSU Publish house, 1974, pp.29-42.
  5. Plane boundary problems of stationary oscillation piecewise-homogeneous isotropic infinitely solids considering moment stresses. IAM of TSU, 1975, pp. 53-64.
  6. Investigation contact and boundary contact problems for compound isotropic elastic solids, considering moment stresses. Research of basic boundary problems moment theory of elasticity with application of computer.
  7. Efficient solutions of boundary and boundary-contact problems for some specific regions. Research of basic boundary problems of moment theory elasticity with application of computer. IAM of TSU, volume III, 1975, pp. 91-128.
  8. Investigation and efficient solution boundary-contact problem for compound isotropic elastic solid considering moment stresses. Authors summary for Doctorate degree research, Tbilisi, 1975, pp.1-18.
  9.  Solution of first boundary problem of oscillation of moment theory of elasticity for half-space. GPI, 1997, N9, pp. 33-35.
  10. Solution of the valuem boundary problems stationary oscillations for the space  with the solid sphere cavity considering moment stresses. GPI, 1997, N6, pp. 129-135.
  11. Solution of the valuem boundary problems of statics of the moment theory elasticity for the solid sphere. TSU, 1997, N185, pp. 91-101.
  12. Efficient solution of some plane boundary problems of stationary oscillations considering moment stresses. IAM of TSU, 1978, N5-6, pp. 101-107.
  13. Efficient solution of some boundary-contact problems of statics for compound isotropic solids. TSU, 1978, N204, pp. 47-67. (Coauthors Bashaleishvili M., Zazashvili S.).
  14. Solution of boundary problems of stationary oscillations moment theory of elasticity for half-plane with solid sphere hole. Some problems of the theory of elasticity, TSU, 1980, pp. 22-30.
  15. Solution of the valuem boundary problems of statics of the moment theory of elasticity for the half-plane. Some problems of the theory of elasticity. TSU, 1980, pp.31-38.
  16. Solution of the volume boundary-contact problems of the theory of elasticity in the case of stratified infinite cylinder. Some problems of the theory of elasticity. TSU, 1980, pp.39-55. (Coauthors: Meladze R., Tsagarely I., Bakradze I.).
  17. Solution of the valuem boundary problems of the theory of elasticity for the solid sphere. IAM of TSU, 1981, N10, pp. 32-37.
  18. Solution of the valuem boundary-contact problems of statics of the theory of elasticity for the regions bounded by the concentric solid spheres. GPI, 1981, pp. 63. (Coauthor Zazashvili S.).
  19. On one method of solution of the valuem boundary-contact problems of statics of the theory of elasticity for the stratified solid sphere. Republic conference of young specialists. Tbilisi, 1981, pp. 73-85.
  20. Solution of the valuem boundary problems of the static of the theory of elasticity for the eccentric solid sphere ring. Theses of report of conference in Telavi, 1981, pp. 67-69.
  21. Solution of the valuem boundary problems of statics of the theory of elasticity for the solid sphere ring. Informs of the SA of the GSSR, 1982, 105, N1 (Coauthor Zazashvili S.).
  22. Solution of the valuem boundary problems of statics and stationary oscillations for the hemitropic micropolar medium. The 10th Republic conference in Telavi, 1983, pp.51.
  23. Solution of the valuem boundary problems of statics of the theory of elasticity for the hepitropic micropolar medium. IAM of ISU, 1985, N16, pp. 56-80.
  24. Efficient solution of the valuem boundary problems of statics of hemitropic micropolar medium for the solid sphere. GPI, 1986, volume 303, N6, pp. 35-42.
  25. Solution of the valuem boundary-contact problems of the statics for the hemitropic micropolar solid sphere ring. Report of enlarged session of the seminar of I. Vekua IAM, Tbilisi, 1993, pp. 36-39.
  26. Equilibrium of elastic hepitropic micropolar medium containing sphere. Collection of scientific works of A. Pushkin TPI, 1985, pp. 40-49.
  27. The boundary-contact problems of dynamic and stationary oscillations of the linear theory of elastic mixture. Theses of reports of conference in Krasnodar, 1988, pp. 105-106. (Coauthor Natroshvili D.).
  28. Solution of the valuem boundary problems of statics of linear theory of mixture of two isotropic elastic materials for the solid sphere and spheroids. The 4th conference of Diff. Eq. And their applications, Russe, Bulgaria, 1989, pp.68.
  29. Poisson’s formula analog of the theory of mixture of two isotropic elastic materials for the solid sphere. Reports of seminar IAM of TSU, 1989, Vol.4, N2, pp. 53-56.
  30. Solution of the valuem boundary problems of statics of the theory of elasticity for the elongated ellipsoid. Works of IAM of TSU, 1990, Vol. 39, pp. 49-58.
  31. Uniqueness theorems for the exterior problems of stationary oscillations of the theory of elasticity. Reports of Enlarged Session of the Seminar of I. Vekua IAM of TSU, 1991, Vol.6, N2, pp. 59-63.
  32. Contact problems of mathematics. Ganatleba publishing house, Tbilisi, 1991, pp.1-150. (Coauthor Natroshvili D.).
  33. Solution of the valuem boundary problems of statics of the theory of elasticity for half-space with solid sphere cavity. Works of IAM of TSU, 1992, vol. 46, pp.86-112.
  34. Uniqueness theorems for exterior problems of stationary oscillations of the theory of elasticity. Works of IAM of TSU, 1992, vol. 46, pp. 112-119. (Coauthor Meladze R.).
  35. Boundary-contact value problem of elastostatics for domains bounded by eccentric spherical surfaces. The 10th conference on Programs and Methods in Mathematical Physics. Chemnitz, Germanty, 1993, p.14.
  36. On one variant of statics homogenous equations solutions of the theory of elasticity. Reports of enlarged sessions of the seminar of I. Vekua in-te of app. Math., Tbilisi, 1993, Vol.8, N2, pp.40-43.
  37.  Solution of the valuem boundary problems of statics for the solid sphere. The second All-Union conference on the theory of elasticity. Tbilisi, 1994, pp.64-68.
  38. Some representation of the solution of the theory of elasticity considering difference fields and their application. Authors summary for Doctorate degree research, Tbilisi, 1995, pp.1-32.
  39. Solution of the third and fourth boundary value problems for the half space with a special cavity. Report of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics. Volume 10, N2, 1995, pp. 13-16 (Meladze R.)
  40. Solution of the basic boundary value problems of the stationary thermoplastic oscillation for domains bounded by spherical surfaces. Georgian Mathematical Journal: Tbilisi, 1997, Vol.4, N5, pp.421-438.
  41. Principal contact problem for two half-space with spherical cavity. International Symposium Dedicated to the 90 Birthday anniversary of academician I. Vekua. Tbilisi, 1997, pp. 126.
  42. The valuem contact problem for two half-plane with many solid spare cavities. International Symposium of the solid mechanics’ Dedicated to the 90 Birthday anniversary of Prof. A. Gorgidze, Tbilisi, 1997, pp.35. (Coauthor G. Sadunishvili).
  43. Elastic solid bounded by two eccentric spare surfaces. Congress of the Georgian Mathematicians, Tbilisi. September 24-27, 1997, p.14.
  44. The boundary problems of the moment theory of elasticity for the half-plane with solid sphere cavity. Congress of the Georgian Mathematicians, Tbilisi. September 24-27, 1997, pp.24.
  45.  The boundary problems of the elastothermodiffusion for the infinite space with spherical cavity. Collection of the scientific works of the fund “Intelecti” for the renascence of sciences, Tbilisi, 1998, (01-06), N2, pp.12-14. (Coauthor I. Bezhuashvili).
  46. Analogies of Poisson’s formula for the problems of elastic thermodiffision statics. Periodical scientific journal Intellect. Tbilisi, 1999, 1(4), pp. 15-19.
  47. Mathematics for the Economists. Tbilisi, the ”Global Print” Publish-house, 1999, pp.1-564, (Coauthors D. Natroshvili, M. Usanetashvili, G. Jashiashvili).
  48. The elastic body in the scalar field. Proceeding of I. Vekua Institute of Applied Mathematics, vol. 49, 2000, pp. 18-37.
  49. Dirihlet’s problem for the sphere cavity filled in with incompressible fluid. Third Congress of Georgian Mathematicians, October 11-13, Tbilisi, 2001, pp.29.
  50. The valuem boundary problems Navier-Stokes linearized stationary equations for the solid sphere. International Scientific Journal “Problems of Applied Mechanics”, Tbilisi, 2001, N4(5), pp. 67-73 (Coauthor K. Skhvitaridze).
  51. The solution of the homogeneous system of steady state oscillations of the theory of coupled thermoelasticity. Proc. I. Vekua Inst. App. Math. Vol.49. 2000, pp. 14-17 (Meladze R., Karseladze G.).
  52. Boundary-contact problems for domains bounded by ellipsoid rotation. Reports Enlarged Session seminar I. Vekua inst. Of Appl. Math. Tbilisi, 2001, vol.6, N1-3, p.46-49 (Meladze R., Karseladze G.).
  53. Motion of viscous incompressible fluid in infinite space bounded by two sphere surfaces. Modern problems of computer modeling, Moscow, MSU, Collection of articles of computational mathematics and cybernetics faculty, 2002, pp. 14-28 (Coauthor Skhvitaridze K.M.).  
  54. Boundary problems of viscous incompressible fluid bounded by sphere surfaces. Modern problems of computer modeling, Moscow, MSU, Collection of articles of computational mathematics and cybernetics faculty, 2002, pp. 29-38 (Coauthor Skhvitaridze K.M.).  
  55. Mathematical Problems of the theory of elasticity of chiral materials. Tbilisi, AMIM, 2003, vol.8, N1, pp. 47-103 (Coauthors D. Natroshvili, I. Stratis).

Solution of nonclassical problem of stationary motion of viscous incompressible fluid for the solid sphere and for the space with sphere cavity. International Scientific Journal “Problems of Applied Mechanics,” Tbilisi, 2003, N2(11), pp. 94-102.