List of Publications of Luiza Shapakidze

(i) Scientific papers

  1. Stability of viscous flow between rotating permeable cylinders. Soobshch. Akad. Nauk Gruzin. SSR  49 (1968),  No. 1, 19-24.
  2. Stability of Couette flow between two rotating cylinders. (Russian) Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza  1975,  No. 3, 146-148; English transl.: Fluid Dyn. 10 (1975), 486-488.
  3. On the stability of viscous electrically conducting flow between two concentric cylinders. (Russian) Magnetohydrodynamics 1975, No. 4, 145-148.
  4. Secondary stationary flows in an electrically conducting liquid between two concentric cylinders. (Russian) Magn. Gidrodin. 1977, No. 4, 55-60; English transl.: Magnetohydrodynamics 13 (1978), 426-431.
  5. The influence of the wall permeability on the flow stability of a viscous incompressible fluid between two rotating cylinders. (Russian) Soobshch. Akad. Nauk Gruz. SSR 108 (1982), No. 3, 501-504.
  6. On the bifurcation of fluid flows between two rotating permeable cylinders. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 99 (1980), No. 2, 325-328.
  7. Conditions for stability of certain flows of a viscous incompressible fluid between two concentric cylinders. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze  73 (1983), 127-135.
  8. On the stability of flows between two rotating permeable cylinders. Proc. of the Intern. Conf. of Applied Mechanics, 450-454, Beijing, China, 1989.
  9. On the effect of rotation on the stability of a flow between two permeable cylinders. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 96 (1991), 123-138.
  10. On the stability of the flow of a viscous electrically conducting fluid between two rotating permeable cylinders in the presence of a magnetic field. (Russian) Boundary value problems of mathematical physics. Proc. A. Razmadze Math. Inst. 100 (1992), 125-137.
  11. On the bifurcation of flows of a heat- conducting fluid between two rotating permeable cylinders. Georgian Math. J. 4 (1997), No. 6, 567-578.
  12. On equilibria in the problem of the flow of a fluid between two differently rotating permeable cylinders. (Russian) Problems in the investigation of the stability and stabilization of motion (Russian), 86-99, 164, Ross. Akad. Nauk, Vychisl. Tsentr, Moscow, 1999.
  13. On transition near the intersection point of bifurcations in the flow between two rotating permeable cylinders (with V. Kolesov). Proc. A. Razmadze Math. Inst. 122 (2000), 79-91.
  14. On oscillatory modes in viscous incompressible liquid flows between two counter-rotating permeable cylinders (with V. Kolesov). Trends in applications of mathematics to mechanics (Nice, 1998), 221-227, Chapman & Hall/CRC Monogr. Surv. Pure Appl. Math., 106, Chapman & Hall/CRC, Boca Raton, FL, 2000.
  15. On the bifurcation of viscous flows between two permeable cylinders in the presence of a transverse pressure gradient. Proc. A. Razmadze Math. Inst. 130 (2002),125-132.
  16. On the stability of Couette flow between two rotating cylinders in the presence of a transverse pressure gradient. Proc. A. Razmadze Math. Inst. 136 (2004), 115-126.
  17. The effect of a transverse pressure gradient on the stability of flows between two concentric, cylinders with a wide gap. International Seminar on Nonlinear Problems of the Theory of Hydrodynamic Stability and Turbulence,26.02-05.03, 62, Moscow, Russia (2006).
  18. The influence of wall permeability of the stability of flows between two rotating cylinders with a pressure gradient acting round the cylinders. Proc. A. Razmadze Math. Inst. 141 (2006), 123-130. 
  19. On equilibrium in the liquid flow between two permeable  cylinders in the presence of transversal pressure gradient. Proc A. Razmadze Math. Inst. 143 (2007), 149-150.
  20. On the numerical investigation of instability and transition in flow between two porous rotating cylinders with a transverse pressure gradient. Proc A. Razmadze Math. Inst. 148 (2008), 61-80.
  21. The effect of the temperature gradient on the stability of low between two permeable cylinders. Rep. Enlarged Sess. Semin. I. Vekua Inst. App. Math. 23(2009), 104-108.
  22. Instabilities and transition in flows between two porous concentric cylinders with radial flow and a radial temperature gradient (with V. V. Kolesov). Phys. of Fluids 23 (2011), 014107-1-014107-13.
  23. The effect of the gap width on the instability and bifurcation of flows between two rotating porous cylinders. Proc A. Razmadze Math. Inst. 158 (2012), 99-112.
  24. On some sufficient stability conditions of nonisothermal flow between porous cylinders. Proc A. Razmadze Math. Inst. 162 (2013), 156-159.
  25. On the nonlinear dynamical system of amplitude equations corresponding to intersections of bifurcations in the flow between permeable cylinders with radial and axial flow. J. Math. Sci. (N.Y.), Springer, 218 (2016), no. 6, 820-828; doi:10.1007/s10958-016-3070-0
  26. On the transitions in a heat-conducting flow between horizontal porous cylinders with radial flow and a radial temperature gradient. J Applied Math. Phys. 5 (2017), no. 9; DOI: 10.4236/jamp.2017.59146
  27. On nonlinear stability of nonizothermal fluid flow between porous cylinders. Conference materials of XXIII International conference ”Hydrodynamic Instability and Turbulence”, Moscow, Russia, 25.02-04.03,2018.
  28. Bicritical points in problem on stability of heat-conducting flows between horizontal    porous cylinders. Trans. A. Razmadze Math. Inst. 173 (2019), no. 3,  167-171.  
  29. On the complex regimes of the Taylor-Dean flow between two porous cylinders. Trans. A. Razmadze Math. Inst. 175 (2021), no. 3, 461–467. 
  30. Effect of Prandtl numbers on the transitions of diverging and converging heat-conducting flows in an annulus. Trans. A. Razmadze Math. Inst. 177 (2023), no. 3,511-517.

     

(ii) Papers

  1. Elene Obolashvili (1924-2005) (with R. Bantsuri). Mem. Differ. Equ. Math. Phys. 35 (2005), 157-158.
  2. Avtandil Tsitskishvili (On the occasion of A. Tsitskishvili's 90-th anniversary) (with V. Kokilashvili and J. Sharikadze). Proc. A. Razmadze Math. Inst. 167 (2015), 1-2.