List of Main Publications of Tengiz Buchukuri

  1. Uniqueness theorems for the static state in the moment theory of elasticity. (Russian) Annot. Dokl., Semin. Inst. Prikl. Mat., Tbilis. Univ., No. 10, (1975), 59-64.
  2. Some oscillation boundary value problems of elasticity theory with allowance for thermodiffusion. (Russian) Dokl. Akad. Nauk SSSR 235 (1977), No. 2, 310-312; Sov. Phys., Dokl. 22 (1977), 366-368 (1978).
  3. Fundamental boundary value problems of oscillation theory for a thermoelastic body with account taken of diffusion. (Russian) Tbiliss. Gos. Univ. Inst. Prikl. Mat. Trudy 5/6 (1978), 28-50.
  4. Fundamental boundary value problems of oscillation of moment thermoelasticity with allowance for diffusion. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 92 (1978), No. 3, 585-588.
  5. Boundary value problems of oscillation of momento-elastic thermodiffusion. (Russian) Proceedings of the I. N. Vekua Institute of Applied Mathematics, 7 (Russian), pp. 5-56, 147, Tbilis. Gos. Univ., Tbilisi, 1980.
  6. Boundary value problems of the oscillation of moment-elastic thermodiffusion. (Russian) Tbiliss. Gos. Univ. Inst. Prikl. Mat. Trudy 7 (1980), 5-56, 147.
  7. The character of the isolated singularities of the solutions of a system of equations of elasticity theory. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 125 (1987), No. 3, 501-504 (with T. G. Gegelia).
  8. Asymptotic behavior of solutions of fundamental equations of statics in elasticity theory near isolated singular points and at infinity, and its applications. (Russian) Current problems in mathematical physics, Vol. II (Russian) (Tbilisi, 1987), 169-179, 386-387, Tbilis. Gos. Univ., Tbilisi, 1987 (with T. G. Gegelia).
  9. Qualitative properties of solutions of the fundamental equations of the theory of elasticity near singular points. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze  90 (1988), 40-67 (with T. G. Gegelia).
  10. * Uniqueness of solutions of fundamental problems in elasticity theory for infinite domains. (Russian) Differentsial'nye Uravneniya 25 (1989), No. 9, 1556-1565, 1652; English transl.: Differential Equations 25 (1989), No. 9, 1096-1104 (1990) (with T. G. Gegelia).
  11. * Boundary value problems in elasticity theory with concentrated singularities. (Russian) Differentsial'nye Uravneniya 25 (1989), No. 10, 1746-1755, 1836; English transl.: Differential Equations 25 (1989), No. 10, 1226-1234 (1990) (with T. G. Gegelia).
  12. Boundary value problems of the steady flow of a viscous incompressible micropolar fluid in the case of Oseen linearization. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 96 (1991), 29-60 (with R. K. Chichinadze).
  13. Solutions of exterior boundary value problems of statics in the theory of elasticity with a bounded stress tensor at infinity. (Russian) Soobshch. Akad. Nauk Gruzii 142 (1991), No. 1, 33-36.
  14. * On the uniqueness theorems for the external problems of the couple-stress theory of elasticity. Georgian Math. J. 1 (1994), No. 2, 127-140 (with T. G. Gegelia).
  15. * Two dimensional problems of stationary flow of a noncompressible viscous fluid in the case of Ozeen's linearization. Georgian Math. J. 1 (1994), No. 3, 251-266 (with R. K. Chichinadze).
  16. * Boundary value problems of electroelasticity with concentrated singularities. Georgian Math. J. 1 (1994), No. 5, 459-467 (with D. Yanakidi).
  17. * Computation of Poisson type integrals. Georgian Math. J. 1 (1994), No. 6, 575-586.
  18. Some dynamic problems of the theory of electroelasticity. Mem. Differential Equations Math. Phys. 10 (1997), 1-53 (with T. Gegelia).
  19. * Boundary problems of thermopiezoelectricity in domains with cuspidal edges. Georgian Math. J. 7(2000), No. 3, 441-460 (with O. Chkadua).
  20. Some Boundary value problems of generalized electroelasticity.  Bull. Georgian Acad. Sci. 164 (2001), No. 2,  211-215.
  21. * Crack-type boundary value problems of electroelasticity. Integral Equations Operator Theory 47 (2003), No. 4, 417-441 (with O. Chkadua and R. Duduchava).
  22. Crack-type boundary value problems of electro-elasticity. Operator theoretical methods and applications to mathematical physics, 189-212, Oper. Theory Adv. Appl., 147, Birkhäuser, Basel, 2004 (with O. Chkadua and R. Duduchava).
  23. Some dynamic problems of piezoelectricity in domains with cuts (with O. Chkadua and R. Gachechiladze). Mem. Differential Equations Math. Phys. 38 (2006), 135-137.
  24. Boundary-value problems of piezoelectricity in domains with cuts (with O. Chkadua). Mem. Differential Equations Math. Phys. 38 (2006), 138-140.
  25. Mathematical modelling and analysis of interaction problems for piezoelastic composites. Rend. Accad. Naz. Sci. XL Mem. Mat. Appl. (5) 30 (2006), 159-190 (with D. Natroshvili and O. Chkadua).
  26. * On interaction of electromagnetic waves with infinite bianisotropic layered slab. Math. Nachr. 280 (2007), no. 9-10, 971-983 (with R. Duduchava and L. Sigua).
  27. * Mixed and crack-type boundary value problems in Mindlin's theory of piezoelectricity. Georgian Math. J. 15 (2008), no. 3, 455-473 (with O. Chkadua).
  28. Interaction problems of metallic and piezoelectric materials with regard to thermal stresses. Mem. Differential Equations Math. Phys. 45 (2008), 7-74 (with O. Chkadua, D. Natroshvili and A.-M. Sändig).
  29. * Mixed boundary value problems of thermopiezoelectricity for solids with interior cracks. Integral Equations Operator Theory 64 (2009), no. 4, 495-537 (with O. Chkadua and D. Natroshvili).
  30. * Solvability and regularity results to boundary-transmission problems for metallic and piezoelectric elastic materials. Math. Nachr. 282 (2009), no. 8, 1079-1110 (with O. Chkadua, D. Natroshvili and A.-M. Sändig).
  31. On the uniqueness of a solution to anisotropic Maxwell's equations. Topics in operator theory. Volume 2. Systems and mathematical physics, 137-164, Oper. Theory Adv. Appl., 203, Birkhäuser Verlag, Basel, 2010 (with R. Duduchava, D. Kapanadze and D. Natroshvili).
  32. Interface crack problems for metallic-piezoelectric composite structures. Mem. Differ. Equ. Math. Phys. 55 (2012), 1-150 (with O. Chkadua, R. Duduchava and D. Natroshvili).
  33. Localization of a Helmholtz boundary value problem in a domain with piecewise-smooth boundary. Proc. A. Razmadze Math. Inst. 162 (2013), 37-44 (with R. Duduchava, D. Kapanadze and M. Tsaava).
  34. Mathematical problems of generalized thermo-electro-magneto-elasticity theory. Mem. Differ. Equ. Math. Phys. 68 (2016), 1-166 (with O. Chkadua and D. Natroshvili).
  35. Dirichlet problem for Laplace-Beltrami equation on hypersurfaces—FEM approximation. Trans. A. Razmadze Math. Inst. 170 (2016), no. 3, 300-307 (with R. Duduchava and G. Tephnadze).
  36. Mixed boundary value problems of pseudo-oscillations of generalized thermo-electro-magneto-elasticity theory for solids with interior cracks. Trans. A. Razmadze Math. Inst. 170 (2016), no. 3, 308-351 (with O. Chkadua and D. Natroshvili).
  37. Laplace-Beltrami equation on hypersurfaces and G-convergence. arXiv:1605.09027 [math-ph] (or arXiv:1605.09027v1 [math-ph] for this version) 38 pp. (with R. Duduchava and G. Tephnadze).