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In memory of professor Yurii Dmitrievich Shmyglevskii (1926–2007)

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Shmyglevskii’s Basic Publications

  1. “Calculation of Axisymmetric Supersonic Gas Flows near the Bend of the Generatrix of a Body of Revolution,” in Proceedings of Central Institute of Aerohydrodynamics (Moscow, 1950); Collected Works on Theoretical Aerohydrodynamics (Oborongiz, Moscow, 1957), pp. 89–115 [in Russian].

  2. “Approximate Method for Calculating Axisymmetric Supersonic Gas Flows,” in Proceedings of Central Institute of Aerohydrodynamics (Moscow, 1950) [in Russian].

  3. “Construction of a Body of Revolution from Given Pressure Distribution in Supersonic Flow,” in Proceedings of Central Institute of Aerohydrodynamics (Moscow, 1950) [in Russian].

  4. “Calculation of Supersonic Gas Flows past Surfaces of Revolution at Zero Angle of Attack,” in Proceedings of Central Institute of Aerohydrodynamics (Moscow, 1951) [in Russian] (with A. A. Dorodnitsyn, M. N. Kogan, V. A. Popov, and V. V. Sychev).

  5. Candidate’s Dissertation in Mathematics and Physics (Vychisl. Tsentr Akad. Nauk SSSR, Moscow, 1957).

  6. “Axisymmetric Supersonic Expanding Gas Flows with a Flat Transition Surface,” in Computational Mathematics (Akad. Nauk SSSR, Moscow, 1957), Vol. 2, pp. 45–89 [in Russian] (with O. N. Katskova).

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  7. “Variational Problem in Axisymmetric Supersonic Gas Dynamics,” Dokl. Akad. Nauk SSSR 113, 520–522 (1957).

  8. “Certain Variational Problems in Axisymmetric Supersonic Gas Dynamics,” Prikl. Mat. Mekh. 21, 195–206 (1957).

  9. “Some Properties of Axisymmetric Supersonic Gas Flows,” Dokl. Akad. Nauk SSSR 122, 782–784 (1958).

  10. “On Supersonic Airfoils with Minimal Drag,” Prikl. Mat. Mekh. 22, 269–273 (1958).

  11. “On Least-Drag Surfaces of Revolution at Supersonic Speeds,” Dokl. Akad. Nauk SSSR 126, 958–960 (1959).

  12. “Sublimation of an Axisymmetric Blunt Body near the Front Stagnation Point,” Inzh. Sb. 28, 26–35 (1960) (with S. V. Iordanskii).

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  13. “On a Class of Solids of Revolution with Minimum Wave Drag,” Prikl. Mat. Mekh. 24, 923–926 (1960).

  14. Experience of Computations of Plane and Axisymmetric Supersonic Flows by the Method of Characteristics (Vychisl. Tsentr Akad. Nauk SSSR, Moscow, 1961) [in Russian] (with O. N. Katskova, I. N. Naumova, and N. P. Shulishnina).

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  15. “On a Property of Transonic Gas Flows,” Prikl. Mat. Mekh. 25, 453–455 (1961) (with O. S. Ryzhov).

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  16. “Variational Problems for Supersonic Bodies of Revolution and Nozzles,” Prikl. Mat. Mekh. 26, 110–125 (1962).

  17. Tables of Parameters for Axisymmetric Supersonic Flows of Freely Expanding Gas with Flat Transition Surface (Akad. Nauk SSSR, Moscow, 1962) [in Russian] (with O. N. Katskova).

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  18. Doctoral Dissertation in Mathematics and Physics (Inst. Mekh. Akad. Nauk SSSR, Moscow, 1962).

  19. “Statement of Variational Gasdynamic Simulations,” Prikl. Mat. Mekh. 27, 183–185 (1963) (with V. M. Borisov).

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  20. Some Variational Problems in Gas Dynamic (Vychisl. Tsentr Akad. Nauk SSSR, Moscow, 1963) [in Russian].

  21. “To construction of bodies of the optimal form in a supersonic flow,” Prikl. Mat. Mekh. 28, 178–182 (1964) (with A. N. Kraiko and I. N. Naumova).

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  22. “On a boundary layer in a radiating gas,” Zh. Prikl. Mekh. Tekh. Fiz., No. 1, 109–113 (1964) (with L. M. Pavlova).

  23. “On Maximum Drag in a Supersonic Flow,” Prikl. Mat. Mekh. 29, 604–608 (1965).

  24. “Some Variational Problems of Gasdynamics,” Fluid Dynamics Transactions (PWN, Warszawa 1965), Vol. 2, 635–647.

  25. USSR Inventor’s Certificate No. 13992, 1966 (with P. A. Mukhin and V. S. Svishchev)

  26. “On Minimum Drag of Rear Parts of Bodies,” Izv. Akad. Nauk SSSR Mekh. Zhidk. Gaza, No. 5, 102–104 (1966).

  27. “Increase in the Nozzle Thrust by Flow Rotation,” Izv. Akad. Nauk SSSR Mekh. Zhidk. Gaza, No. 1, 34–37 (1967) (with I. N. Naumova).

  28. “Nozzle Thrust Increase by Rotation of the Flow,” Aerospace Proceedings 1966 (Macmillan, London, 1967), Vol. 2, pp. 619–623 (with I. N. Naumova).

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  29. “On Maximum Drag in Supersonic Flow,” Aerospace Proceedings 1966 (Macmillan, London, 1967), Vol. 2, pp. 303–308.

  30. “On Energy Transfer by Radiation in Spectral Lines,” Prikl. Mekh. Tekh. Fiz., No. 3, 12–20 (1969).

  31. “A Comparison of Numerical Methods for Two-Dimensional Problem of the Hydrodynamic Lubrication Theory,” Fluid Dynamics Transactions (RWN, Warszawa, 1969), Vol. 4, pp. 761–766, (with I. N. Naumova).

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  32. “Computation of Radiant Energy Transfer by the Galerkin Method,” Zh. Vychisl. Mat. Mat. Fiz. 13, 398–407 (1973).

  33. “The Method of Discrete Ordinates in the Dynamics of Axisymmetric Radiating Gas Flow,” Zh. Vychisl. Mat. Mat. Fiz. 14, 803–806 (1974) (with I. N. Naumova).

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  34. “Computation of the Shock Wave Structure for a Model Radiation Absorption Coefficient,” in Radiating Gas Dynamics (Vychisl. Tsentr Akad. Nauk SSSR, Moscow, 1974), Vol. 1, pp. 41–53 [in Russian] (with I. N. Naumova).

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  35. “Test of Two Methods of Radiative Transfer Computation,” Zh. Vychisl. Mat. Mat. Fiz. 15, 163–171, (1975) (with V. M. Krivtsov, I. N. Naumova, and N. P. Shulishnina).

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  36. “On the Possibility of Preferred Heating by Radiation of Internal Domains of Substance,” Zh. Vychisl. Mat. Mat. Fiz. 15, 532–534 (1975) (with V. M. Krivtsov and I. N. Naumova).

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  37. “Complete System of Conservation Equations of Ideal Gas Dynamical,” Zh. Vychisl. Mat. Mat. Fiz. 15, 1535–1544 (1975) (with E. D. Terent’ev).

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  38. “Variational Principle of Magnetohydrodynamics at Infinite Conductivity,” Zh. Vychisl. Mat. Mat. Fiz. 16, 262–266 (1976).

  39. “Complete System of Conservation Equations of Electromagnetic Ideal Gas Dynamics,” Zh Vychisl. Mat. Mat. Fiz. 16, 725–737 (1976) (with E. D. Terent’ev).

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  40. “System of Methods for Computing Steady Axisymmetric Flows of Radiating Gas,” in Radiating Gas Dynamics (Vychisl. Tsentr Akad. Nauk SSSR, Moscow, 1976), Vol. 2, pp. 3–15 [in Russian].

  41. “Computation of Emitting Air Flows in a Pipe,” in Radiating Gas Dynamics (Vychisl. Tsentr Akad. Nauk SSSR, Moscow, 1976), Vol. 2, pp. 99–108 (with I. N. Naumova) [in Russian].

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  42. “Moment Method for Computing Selection Radiation Transfer,” in Radiating Gas Dynamics (Vychisl. Tsentr Akad. Nauk SSSR, Moscow, 1976), Vol. 2, pp. 42–60 [in Russian].

  43. “Version of the Moment Method for Computing Selection Radiation Transfer,” Zh. Vychisl. Mat. Mat. Fiz. 17, 785–790 (1977).

  44. “Comparison of Computations of Axisymmetric Radiating Gas Flows,” Zh. Vychisl. Mat. Mat. Fiz. 17, 1077–1081 (1977) (with V. M. Krivtsov, I. N. Naumova, A. A. Charakhch’yan, A. V. Shipilin, and N. P. Shulishnina).

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  45. “Algorithm and Code of Riemann Solver for Imperfect Gas: P002809” Information Bulletin: Algorithms and Programs (VNTI-Tsentr, Moscow, 1978), No. 3 [in Russian] (with I. N. Naumova).

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  46. “Computation of Motion of Solid Body Vapors under Laser Light,” in Radiating Gas Dynamics (Vychisl. Tsentr Akad. Nauk SSSR, Moscow, 1980), Vol. 3, pp. 76–104 [in Russian] (with V. I. Zubov, V. M. Krivtsov, and I. N. Naumova).

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  47. Review of Gas Dynamics Studies (Based on Works of the Laboratory of Continuum Mechanics, Computing Center, USSR Academy of Sciences over 1955–1980) (Vychisl. Tsentr Akad. Nauk SSSR, Moscow, 1980) [in Russian] (with P. I. Chushkin).

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  48. “Variational Problems in Gas Dynamic,” Zh. Vychisl. Mat. Mat. Fiz. 20, 1205–1220 (1980).

  49. “Numerical Methods in Radiating Gas Dynamics,” Zh. Vychisl. Mat. Mat. Fiz. 20, 1249–1265 (1980) (with A. A. Charakhch’yan).

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  50. “Computation of the Interaction of Laser Light with an Aluminum Vessel and Its Vapors,” Zh. Vychisl. Mat. Mat. Fiz. 20, 1513–1524 (1980) (with V. I. Zubov, V. M. Krivtsov, and I. N. Naumova).

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  51. “Variational Principle of Gas Dynamics,” Zh. Vychisl. Mat. Mat. Fiz. 20, 1598–1600 (1980).

  52. “Interaction of Neodymium Laser Light with an Aluminum Vessel and Its Vapors,” in Radiating Gas Dynamics (Vychisl. Tsentr Akad. Nauk SSSR, Moscow, 1981), pp. 56–73 [in Russian] (with V. I. Zubov, V. M. Krivtsov, and I. N. Naumova).

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  53. “Variational Principle of Magnetohydrodynamics at Infinite Conductivity,” Zh. Vychisl. Mat. Mat. Fiz. 22, 241–243 (1982).

  54. “Computation of Laser Action on a Flat Barrier and Its Vapors,” Zh. Vychisl. Mat. Mat. Fiz. 23, 1520–1522 (1983) (with V. I. Zubov, V. M. Krivtsov, and I. N. Naumova).

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  55. “On Inertial and Shear Flows,” Dokl. Akad. Nauk SSSR 274, 280–283 (1984) (with V. V. Aleksandrov).

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  56. “On Streamlines of a Swirling Flow,” Zh. Vychisl. Mat. Mat. Fiz. 25, 312–313 (1985) (with I. N. Naumova).

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  57. “On Isobaric Plane Flows of Viscous Incompressible Fluid,” Zh. Vychisl. Mat. Mat. Fiz. 25, 1895–1898 (1985).

  58. “Boundary Layer Theory: Boundary Layer,” in Mathematical Encyclopedia (Sovetskaya Entsiklopediya, Moscow, 1984), Vol. 4, pp. 352–356 [in Russian].

  59. “On Numerical Comparison of Various Metal Evaporation Models,” Zh. Vychisl. Mat. Mat. Fiz. 26, 1740–1743 (1986) (with V. I. Zubov, V. M. Krivtsov, and I. N. Naumova).

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  60. “Comparison of Three Computational Methods for Viscous Gas Flow past a Plate,” Zh. Vychisl. Mat. Mat. Fiz. 27, 940–945 (1987) (with V. I. Zubov, V. M. Krivtsov, and I. N. Naumova).

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  61. “Inversion of Singularity of the Navier-Stokes Equations,” Zh. Vychisl. Mat. Mat. Fiz. 28, 1748–1750 (1988).

  62. “Inadequacy of Replacement of Solutions to the Navier-Stokes Equations by Numerical Solutions of the Euler Equations,” Zh. Vychisl. Mat. Mat. Fiz. 29, 1591–1593 (1989) (with L. V. Shurshalov).

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  63. “Viscous Flows of Independent of Reynolds Number,” Zh. Vychisl. Mat. Mat. Fiz. 30, 951–955 (1990).

  64. “Interaction of a Laser Beam with an Aluminum Vessel and Its Vapors,” Mat. Model. 2(6), 19–25 (1990) (with V. I. Zubov, V. M. Krivtsov, and I. N. Naumova).

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  65. “On One Inertial Flow,” Zh. Vychisl. Mat. Mat. Fiz. 30, 1833–1834 (1990).

  66. “Computation of the Interaction of a Laser Radiation Beam with an Aluminum Vessel and Its Vapor,” Modern Problems in Computational Aerogasdynamics (CRC, Boca Ration, 1992) (with V. M. Krivtsov, I. N. Naumova, and V. I. Zubov).

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  67. “Numerical Modeling of Evaporation of Aluminum and Expansion of Its Vapor under the Action of Laser Beam,” Proceedings of the Second Japan-Soviet Joint Symposium on Computational Fluid Dynamics (Univ. of Tsukuba, 1990), Vol. 2, pp. 335–341 (with V. M. Krivtsov, I. N. Naumova, and V. I. Zubov).

  68. “On a Swirling Flow,” Zh. Vychisl. Mat. Mat. Fiz. 33, 815–816 (1993).

  69. “On Swirling Flows of Ideal and Viscous Fluids,” Zh. Vychisl. Mat. Mat. Fiz. 33, 1905–1911 (1993).

  70. Interaction of Laser Beam with Aluminum Vessel and Aluminum Vapor So Generated, Math. Model. Comput. Experiment 1, 255–260 (1993). (with V. I. Zubov, V. M. Krivtsov, and I. N. Naumova).

  71. “On Vortex Structures in Viscous Fluid,” Zh. Vychisl. Mat. Mat. Fiz. 34, 955–959 (1994).

  72. “On Axisymmetric Vortex Structures in Viscous Fluid,” Zh. Vychisl. Mat. Mat. Fiz. 35, 472–476 (1995) (with A. V. Shcheprov).

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  73. “Two Examples of Plate Flow in the Stokes Approximation,” Zh. Vychisl. Mat. Mat. Fiz. 35, 997–1000 (1995).

  74. “On Vortex Breakdown,” Izv. Ross. Akad. Nauk Mekh. Zhisk. Gaza, No. 3, 167–169 (1995).

  75. “On Vortex Structures in Plane-Parallel Flows of Viscous and Ideal Fluids,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 6, 88–92 (1997).

  76. “On Chains of Axisymmetric Vortices,” Izv. Akad. Nauk, Mekh. Zhidk. Gaza, No. 2, 174–176 (1998).

  77. “Increase in Jet Action of a Supersonic High-Speed Gas Jet under the Formation of Separated Shock Waves: Scientific Discovery: Diploma No 51,” 1997 (with L. E. Sternin).

  78. Analytical Studies of Fluid Dynamics (Editorial URSS, Moscow, 1999) [in Russian].

  79. “On Stokes Plane-Parallel Vortex Systems in Channels,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 5, 57–65 (2000) (with V. N. Koterov).

  80. “On Vortex Systems in a Viscous Fluid near Corner Points of the Boundary,” Izv. Ross. Akad. Nauk Mekh. Zhidk. Gaza, No. 1, 62–73 (2002) (with A. V. Shcheprov).

  81. “On the Approach to Separating Streamlines to the Contour in a Plane-Parallel Viscous Flow,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 2, 76–89 (2002) (with B. V. Pal’tsev).

  82. “Homogeneous Forms of the Navier-Stokes Equations for Plane-Parallel Steady Flows of an Incompressible Fluid,” Dokl. Akad. Nauk 384, 316–317 (2002) [Dokl. Math. 65, 377–378 (2002)].

  83. “On Plane-Parallel Separated Incompressible Flows at Flat Boundaries,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 5, 12–21 (2002) (with A. V. Shcheprov).

  84. “Exact Representation of Certain Axisymmetric Vortex Elements in a Viscous Incompressible Fluid,” Dokl. Akad. Nauk 393, 489–492 (2003) [Dokl. Phys. 12, 685–687 (2003)] (with A. V. Shcheprov).

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Authors and Affiliations

  1. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

    O. M. Belotserkovskii, Yu. G. Evtushenko, V. I. Zubov, M. K. Kerimov & A. A. Charakhch’yan

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  1. O. M. Belotserkovskii
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  2. Yu. G. Evtushenko
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  3. V. I. Zubov
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  4. M. K. Kerimov
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  5. A. A. Charakhch’yan
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Correspondence to O. M. Belotserkovskii.

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Original Russian Text © O.M. Belotserkovskii, Yu.G. Evtushenko, V.I. Zubov, M.K. Kerimov, A.A. Charakhch’yan, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008, Vol. 48, No. 5, pp. 928–936.

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Belotserkovskii, O.M., Evtushenko, Y.G., Zubov, V.I. et al. In memory of professor Yurii Dmitrievich Shmyglevskii (1926–2007). Comput. Math. and Math. Phys. 48, 877–883 (2008). https://doi.org/10.1134/S096554250805014X

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