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Roman O. Popovych
Roman POPOVYCH

           
Address:
Department of Applied Research
Institute of Mathematics
National Academy of Sciences of Ukraine
3 Tereshchenkivs'ka Street
01601 Kyiv-4
UKRAINE

Phone: +380 (44) 234 63 22 (office)
Fax: +380 (44) 235 2010 (office)
E-mail: rop[at]imath[dot]kiev[dot]ua

Current address: Fakultät für Mathematik, Universität Wien, Nordbergstraße 15, 1090 Wien, Österreich
Office: Nordbergstraße 15, room C 521
Phone: +43 1 4277 50632 (office)

Academic Background:
D.Sc. in Math.: 2009, Institute of Mathematics, Kyiv (Consultant Prof. A.M. Samoilenko)
Associate Professor: 2005, Institute of Mathematics, Kyiv
Ph.D. in Math.: 1992, Institute of Mathematics, Kyiv (Supervisor Prof. W.I. Fushchych)
M.Sc. in Math.: 1989, Kyiv State University (Supervisor Prof. W.I. Fushchych)

Professional Experience:
2008-till now
Principal investigator, Stand-alone project P20632 of FWF, Department of Mathematics, University of Vienna
2006-2008
Principal investigator, Lise Meitner project, Department of Mathematics, University of Vienna
1992-till now
Junior Researcher, Researcher, Senior Researcher at the Department of Applied Research of the Institute of Mathematics, Kyiv
1989-1992
Post-graduate Student, Institute of Mathematics, Kyiv

Area of Expertise
Symmetry analysis of differential equations and applications, Lie algebras

Awards
Stand-alone project P20632 of FWF (2008)
Lise Meitner project M923-N13 of FWF (2005)
Prize of President of Ukraine for Young Scientists (2001)

Advisor of PhD Thesis
Olena Vaneeva, Group classification and nonclassical symmetries of reaction–diffusion equations (2008)

Editorial Boards and Organizing Committees
Associate Editor of the Journal of Mathematical Analysis and Applications (2009-till now)
Associate Editor of the refereed online journal SIGMA ''Symmetry, Integrability and Geometry: Methods and Applications'' (2005-till now)
Member of Local Organizing Committee of the International Conferences Series
'' Symmetry in Nonlinear Mathematical Physics'' (1995, 1997, 1999, 2001, 2003, 2005, 2007, 2009, Kyiv, Ukraine)
Member of Organizing Committee of the International Workshop Series ''Group Analysis of Differential Equations and Integrable Systems'' (2005, 2006, 2007, 2008, 2010, Cyprus)
Member of Scientific Committee of Fifth International School and Workshop "QFT and Hamiltonian Systems" (May 20-26, 2006, Calimanesti, Romania)

Referee
Acta Applicandae Mathematicae
Acta Mechanica
Applied Mathematics Letters
Electronic Journal of Differential Equations (EJDE)
Journal of Engineering Mathematics
Journal of Mathematical Analysis and Applications
Journal of Mathematical Physics
Journal of Nonlinear Mathematical Physics
Journal of Physics A: Mathematical and Theoretical
manuscripta mathematica
Mathematical Methods in the Applied Sciences
Modern Physics Letters B
Nonlinear Analysis A: Theory and Methods
Nonlinear Dynamics
Nonlinearity
Physics Letters A
Proceedings of Royal Society A
Reports on Mathematical Physics
Reviews in Mathematical Physics

Reviewer
Mathematical Review
Mathematical Zenterblatt

Participation at the International Conferences
International Conference Series ''Symmetry in Nonlinear Mathematical Physics''
(July 3-8, 1995; July 7-13, 1997; July 12-18, 1999; July 9-15, 2001; June 23-29, 2003; June 20-26, 2005; June 24-30, 2007; June 21-27, 2009; Kyiv, Ukraine)
International Workshop Series ''Group Analysis of Differential Equations and Integrable Systems''
(October 27, 2005; September 25-28, 2006; October 4-5, 2007; Nicosia, Cyprus; October 26-30, 2008, Protaras, Cyprus)
Applications of Computer Algebra (ACA2008), the session Symbolic Symmetry Analysis and Its Applications (July 27-30, 2008, RISC, Castle of Hagenberg, Austria)
MM-VII Symmetries and Mechanics Conference (24-27 September, 2007, Novi Sad, Serbia)
Fifth International School and Workshop "QFT and Hamiltonian Systems" (May 20-26, 2006, Calimanesti, Romania)
IV International Symposium Quantum Theory and Symmetries (August 15-21, 2005, Varna, Bulgaria)
International Workshop on Nonlinear Partial Differential Equations (December 5-16, 2004, Tehran, Iran)
International Conference in Modern Group Analysis (MOGRAN X) (October 24-31, 2004, Larnaca, Cyprus)
11th Regional Conference on Mathematical Physics and Mathematics (May 3-6, 2004, Tehran, Iran)
NATO ASI 2003 "Data Fusion for Situation Monitoring, Incident Detection, Alert and Response Management" (August 18-29, 2003, Tsakhkadzor, Armenia)
10th International Conference on Symmetry Methods in Physics (August 13-19, 2003, Yerevan, Armenia)

Short Scientific Visits
Department of Mathematics and Statistics, University of Cyprus (Nicosia, Cyprus, 2004, 2005, 2006, 2007, 2008)
Centre de Recherches Mathematiques, Universite de Montreal (Monreal, Canada, 2004)
Institute for Studies in Theoretical Physics and Mathematics (IPM) (Tehran, Iran, 2003, 2004)
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research (Dubna, Russia, 2003)


PUBLICATIONS

*** Popovych, Roman O. = Popovych, R.O. = Popovych, R. = Popovich, R.E. = Popowych, R.O. = Popovich, R.O. = Popowych, Roman

  1. Popovych D.R. and Popovych R.O., Equivalence of diagonal contractions to generalized IW-contractions with integer exponents, Linear Algebra Appl., 2009, V.431, 1096-1104, arXiv:0812.4667.
  2. Bihlo A. and Popovych R.O., Symmetry analysis of barotropic potential vorticity equation, Commun. Theor. Phys., 2009, V.52, 697--700, arXiv:0811.3008.
  3. Vaneeva O.O., Popovych R.O. and Sophocleous C., Enhanced group analysis and exact solutions of variable coefficient semilinear diffusion equations with a power source, Acta Appl. Math., 2009, V.106, 1-46, arXiv:0708.3457.
  4. Ivanova N.M., Popovych R.O., Sophocleous C. and Vaneeva O.O., Conservation laws and potential symmetries for certain evolution equations, Physica A, 2009, V.388, 343-356, arXiv:0806.1698.
  5. Boyko V.M., Patera J. and Popovych R.O., Invariants of Lie Algebras via Moving Frames, Proceedings of 4th Workshop "Group Analysis of Differential Equations and Integrable Systems" (26-30 October 2008, Protaras, Cyprus), 36-44, arXiv:0904.4462.
  6. Vaneeva O.O., Popovych R.O. and Sophocleous C., Reduction operators of variable coefficient semilinear diffusion equations with a power source, Proceedings of 4th Workshop "Group Analysis of Differential Equations and Integrable Systems" (26-30 October 2008, Protaras, Cyprus), 191-209, arXiv:0904.3424.
  7. Kunzinger M. and Popovych R.O., Is a nonclassical symmetry a symmetry?, Proceedings of 4th Workshop "Group Analysis of Differential Equations and Integrable Systems" (26-30 October 2008, Protaras, Cyprus), 107-120, arXiv:0903.0821.
  8. Bihlo A. and Popovych R.O., Lie symmetries and exact solutions of barotropic vorticity equation, arXiv:0902.4099, 11 p.
  9. Popovych D.R. and Popovych R.O., Lowest dimensional example on non-universality of generalized Inönü-Wigner contractions, 2008, arXiv:0812.1705, 12 pp.
  10. Kunzinger M. and Popovych R.O., Singular reduction operators in two dimensions, J. Phys. A, 2008, V.41, 505201, 24 pp, arXiv:0808.3577.
  11. Kunzinger M. and Popovych R.O., Potential conservation laws, J. Math. Phys., 2008, V.49, 103506, 34 pp, arXiv:0803.1156.
  12. Popovych R.O., Kunzinger M. and Eshraghi H., Admissible point transformations and normalized classes of nonlinear Schrödinger equations, Acta Appl. Math., 45 pp, arXiv:math-ph/0611061.
  13. Popovych R.O. and Samoilenko A.M., Local conservation laws of second-order evolution equations, J. Phys. A, 2008, V.41, 362002, 11 pp, arXiv:0806.2765.
  14. Bihlo A. and Popovych R.O., Symmetry justification of Lorenz maximum simplification, arXiv:0805.4061, 7 p.
  15. Popovych R.O., Reduction operators of linear second-order parabolic equations, J. Phys. A, 2008, V.41, 185202, 31 pp, arXiv:0712.2764.
  16. Rajaee L., Eshraghi H. and Popovych R.O., Multi-dimensional quasi-simple waves in weakly dissipative flows, Physica D, 2008, V.237, 405-419.
  17. Boyko V.M., Patera J. and Popovych R.O., Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements, Linear Algebra Appl., 2008, V.428, 834-854, arXiv:0706.2465.
  18. Popovych R.O., Kunzinger M. and Ivanova N.M., Conservation laws and potential symmetries of linear parabolic equations, Acta Appl. Math., 2008, V.100, 113-185, arXiv:0706.0443.
  19. Popovych R.O., Vaneeva O.O. and Sophocleous C., Exact solutions of a remarkable fin equation, Appl. Math. Lett., 2008, V.21, 209-214, arXiv:math-ph/0610017.
  20. Vaneeva O.O., Johnpillai A.G., Popovych R.O. and Sophocleous C., Group analysis of nonlinear fin equations, Appl. Math. Lett., 2008, V.21, 248-253, arXiv:math-ph/0610006.
  21. Boyko V.M., Patera J. and Popovych R.O., Invariants of triangular Lie algebras with one nilindependent diagonal element, J. Phys. A, 2007, V.40, 9783-9792, arXiv:0705.2394.
  22. Boyko V.M., Patera J. and Popovych R.O., Invariants of triangular Lie algebras, J. Phys. A, 2007, V.40, 7557–7572, arXiv:0704.0937.
  23. Ivanova N.M. and Popovych R.O., Equivalence of conservation laws and equivalence of potential systems, Internat. J. Theoret. Phys., 2007, V.46, 2658-2668, arXiv:math-ph/0611032.
  24. Vaneeva O.O., Johnpillai A.G., Popovych R.O. and Sophocleous C., Enhanced group analysis and conservation laws of variable coefficient reaction-diffusion equations with power nonlinearities, J. Math. Anal. Appl., 2007, V.330, 1363-1386, arXiv:math-ph/0605081.
  25. Popovych R.O., Vaneeva O.O and Ivanova N.M., Potential nonclassical symmetries and solutions of fast diffusion equation, Phys. Lett. A, 2007, V.362, 166-173, arXiv:math-ph/0506067.
  26. Boyko V.M., Patera J. and Popovych R.O., Invariants of Lie algebras with fixed structure of nilradicals, J. Phys. A, 2007, V.40, 113-130, arXiv:math-ph/0606045.
  27. Nesterenko M. and Popovych R.O., Contractions of low-dimensional Lie algebras, J. Math. Phys., 2006, V.47, 123515, 45 pp, arXiv:math-ph/0608018.
  28. Popovych R.O., Direct methods of construction of conservation laws, Physics AUC, 2006, V.16 (II), 81-94.
  29. Popovych R.O., Classification of admissible transformations of differential equations, Collection of Works of Institute of Mathematics, Kyiv, 2006, V.3, N 2, 239-254.
  30. Popovych R.O., No-go theorem on reduction operators of linear second-order parabolic equations, Collection of Works of Institute of Mathematics, Kyiv, 2006, V.3, N 2, 231-238.
  31. Boyko V.M., Patera J. and Popovych R.O., Computation of invariants of Lie algebras by means of moving frames, J. Phys. A, 2006, V.39, 5749-5762, arXiv:math-ph/0602046.
  32. Popovych R.O., Normalized classes of nonlinear Schrödinger equations, Proceedings of the VI International Workshop "Lie theory and its application to physics" (15-21 August, 2005, Varna, Bulgaria), Bulg. J. Phys., 2006, V.33 (s2), 211-222.
  33. Popovych R.O. and Ivanova N.M., Hierarchy of conservation laws of diffusion-convection equations, J. Math. Phys., 2005, V.46, 043502, 22 pp, arXiv:math-ph/0407008.
  34. Popovych R.O. and Ivanova N.M., Potential equivalence transformations for nonlinear diffusion-convection equations, J. Phys. A, 2005, V.38, 3145-3155, arXiv:math-ph/0402066.
  35. Eshraghi H., Abedini Y. and Popovych R.O., Effect of external sources on finite time singularity, Physica Scripta, 2005, V.71, 52-59.
  36. Ivanova N.M., Popovych R.O. and Eshraghi H., On symmetry properties of nonlinear Schrödinger equations with potentials, Proceedings of Third Summer School in Modern Mathematical Physics (20-31 August, 2004, Zlatibor, Serbia and Montenegro), Sveske Fiz. Nauka, 2005, V.18(A1), 451-456.
  37. Ivanova N.M., Popovych R.O. and Sophocleous C., Conservation laws of variable coefficient diffusion-convection equations, Proc. of 10th International Conference in Modern Group Analysis (MOGRAN X) (Larnaca, Cyprus, 2004), 2005, 107-113, arXiv:math-ph/0505015.
  38. Popovych R.O. and Eshraghi H., Admissible point transformations of nonlinear Schrödinger equations, Proc. of 10th International Conference in Modern Group Analysis (MOGRAN X) (Larnaca, Cyprus, 2004), 2005, 167-174.
  39. Nesterenko M. and Popovych R.O., Realizations of real unsolvable low-dimensional Lie algebras, in Proceedings of the Third Voronoi Conference on Analytic Number Theory and Spatial Tessellations, Editors H. Syta, A. Yurachkivsky and P. Engel, Proceedings of Institute of Mathematics, Kyiv, 2005, V.55, 163-168, arXiv:math-ph/0510015.
  40. Popovych R.O., Ivanova N.M. and Eshraghi H., Group classification of (1+1)-dimensional Schrödinger equations with potentials and power nonlinearities, J. Math. Phys., 2004, V.45, N 8, 3049-3057, arXiv:math-ph/0311039.
  41. Popovych R.O. and Ivanova N.M., New results on group classification of nonlinear diffusion-convection equations, J. Phys. A, 2004, V.37, N 30, 7547-7565, arXiv:math-ph/0306035.
  42. Popovych R.O., Ivanova N.M., Eshraghi H., Lie symmetries of (1+1)-dimensional cubic Schrödinger equation with potential, in Proceedings of Fifth International Conference ''Symmetry in Nonlinear Mathematical Physics'' (23-29 June, 2003, Kyiv), Editors A.G. Nikitin, V.M. Boyko, R.O. Popovych and I.A. Yehorchenko, Proceedings of Institute of Mathematics, Kyiv, 2004, V.50, Part 1, 219-223, [pdf], arXiv:math-ph/0310039.
  43. Popovych R.O., Boyko V.M., Nesterenko M.O. and Lutfullin M.W., Realizations of real low-dimensional Lie algebras, J. Phys. A, 2003, V.36, N 26, 7337-7360, arXiv:math-ph/0301029v3.
  44. Popovych R.O., Boyko V.M., Nesterenko M.O. and Lutfullin M.W., Realizations of real low-dimensional Lie algebras, arXiv:math-ph/0301029v7, 39 pp (extended and revised version of paper J. Phys. A, 2003, V.36, N 26, 7337-7360).
  45. Popovych R. and Boyko V., Differential invariants of one-parameter group of local transformations: one independent variable, Nonlinear Oscilations, 2002, V.5, N 2, 218-223 (in Ukrainian).
  46. Popovych R. and Boyko V., Differential invariants and application to Riccati-type systems, in Proceedings of Fourth International Conference ''Symmetry in Nonlinear Mathematical Physics'' (9-15 July, 2001, Kyiv), Editors A.G. Nikitin, V.M. Boyko and R.O. Popovych, Proceedings of Institute of Mathematics, Kyiv, 2002, V.43, Part 1, 184-193 [pdf], arXiv:math-ph/0112057.
  47. Lutfullin M. and Popovych R., Realizations of real 4-dimensional solvable decomposable Lie algebras, in Proceedings of Fourth International Conference ''Symmetry in Nonlinear Mathematical Physics'' (9-15 July, 2001, Kyiv), Editors A.G. Nikitin, V.M. Boyko and R.O. Popovych, Proceedings of Institute of Mathematics, Kyiv, 2002, V.43, Part 2, 466-468. [pdf]
  48. Boyko V. and Popovych R., On differential invariants in the space of two variables, Proceedings of Ukrainian Acad. of Sci., 2001, N 5, 7-10 (in Ukrainian).
  49. Boyko V. and Popovych R., Differential invariants of one-parameter Lie groups, in Group and Analytic Methods in Mathematical Physics, Proceedings of Institute of Mathematics, Kyiv, 2001, V.36, 51-62 (in Ukrainian). [pdf]
  50. Popovych R.O. and Cherniha R.M., Complete classification of Lie symmetries of system of non-linear two-dimensional Laplace equations, in Group and Analytic Methods in Mathematical Physics, Proceedings of Institute of Mathematics, Kyiv, 2001, V.36, 212-221. [pdf]
  51. Popovych R. and Boyko V., On group classification Galilei invariant equations of second order, in Book of Abstract of Ukrainian Mathematical Congress (22-24 August, 2001, Kyiv), Kyiv, Institute of Mathematics, Section 5 (Math. Phys.), 2001, 25-26 (in Ukrainian).
  52. Nikitin A.G. and Popovych R.O., Group classification of nonlinear Schrödinger equations, Ukr. Math. J., 2001, V.53, N 8, 1255-1265, arXiv:math-ph/0301009.
  53. Popovych R.O. and Yehorchenko I.A., Group classification of generalized eikonal equations, Ukr. Math. J., 2001, V.53, N 11, 1513-1520.
  54. Popovych R.O. and Yehorchenko I.A., Group classification of generalized eikonal equations, arXiv:math-ph/0112055, 14 pp (extended and revised version of paper Ukr. Math. J., 2001, V.53, N 11, 1513-1520).
  55. Popovych R.O. , Equivalence of Q-conditional symmetries under group of local transformation, in Proceedings of the Third International Conference ''Symmetry in Nonlinear Mathematical Physics'', Eds. A. Nikitin and V. Boyko, Proceedings of Institute of Mathematics, Kyiv, 2000, V.30, Part 1, 184-189 [pdf], arXiv:math-ph/0208005.
  56. Popovych R. and Boyko V., Differential invariants of one-parameter group of local transformation and integration of Riccati equation, Vestnik Samarskogo gosudarstvennogo universiteta, 2000, V.18, N 4, 49-56 (in Russian). [ps]
  57. Popovych G.V. and Popovych R.O., Flows of incompressible fluids with linear vorticity, J. Appl. Math. Mech., 1999, V.63, N 3, 369-374. [pdf]
  58. Zhdanov R.Z., Tsyfra I.M. and Popovych R.O., A precise definition of reduction of partial differential equations, J. Math. Anal. Appl., 1999, V.238, N 1, 101-123, arXiv:math-ph/0207023.
  59. Vasilenko O.F. and Popovych R.O., On class of reducing operators and solutions of evolution equations, Vestnik PGTU, 1999, N 8, 269-273 (in Russian).
  60. Popovych R.O., On a class of Q-conditional symmetries and solutions of evolution equations, in Symmetry and Analytic Methods in Mathematical Physics, Proceedings of Institute of Mathematics, Kyiv, 1998, V.19, 194-199 (in Ukrainian). [pdf]
  61. Popovych R.O. and Korneva I.P., On the Q-conditional symmetry of the linear n-dimensional heat equation, in Symmetry and analytic methods in mathematical physics, Proceedings of Institute of Mathematics, Kyiv, 1998, V.19, 200-211 (in Ukrainian). [pdf]
  62. Popovych G.V. and Popovych R.O., On Navier-Stokes fields with linear vorticity, Ukr. Math. J., 1997, V.49, N 9, 1223-1229 (in Ukrainian); translation in Ukr. Math. J., 1997, V.49, N 9, 1377-1385.
  63. Popovych R.O., On reduction and Q-conditional (nonclassical) symmetry, in Proceedings of the Second International Conference ''Symmetry in Nonlinear Mathematical Physics'' (Kyiv, July 7-13, 1997), Editors M.I. Shkil', A.G. Nikitin, V.M. Boyko, Kyiv, Institute of Mathematics, 1997, V. 2, 437-443  [pdf], arXiv:math-ph/0207015.
  64. Popovych V.O. and Popovych R.O., Solutions of Navier-Stokes equations represented as sums of exponents, Proceedings of the III International conference ''Asymptotical and Qualitative Methods in Theory of Nonlinear Oscillations'' (Kyiv: Acad. Sci. Ukraine, Inst. Math.), 1997, 139-140 (in Ukrainian).
  65. Korneva I.P. and Popovych R.O., On compatibility of system of nonlinear Laplace equation and generalized Hamilton-Jacobi equation, Proceedings of the VI International conference named acad. M.P. Kravchuk (Kyiv: National Tech. University of Ukraine), 1997, 220 (in Ukrainian).
  66. Popovych R.O. and Popovych V.O., On the Navier-Stokes equation with the additional condition $u_{11}=u_3=0$, Ukr. Math. J., 1996, V.48, N 10, 1363-1374 (in Ukrainian); translation in Ukr. Math. J., 1996, V.48, N 10, 1546-1560.
  67. Popovych H.V. and Popovych R.O., Solutions of Euler equations which have linear vorticity, Vestnik PGTU, 1996, N 2, 255-260 (in Russian).
  68. Popovych R.O., On generalization of potential flows, Proceedings of the V International conference named acad. M.P. Kravchuk (Kyiv: National Tech. University of Ukraine), 1996, 352 (in Ukrainian).
  69. Popovych R.O., On Lie reduction of the Navier-Stokes equations, J. Nonlinear Math. Phys., 1995, V. 2, N 3-4, 301-311 [pdf].
  70. Popovych R.O., On the symmetry and exact solutions of a transport equation, Ukr. Math. J., 1995, V.47, N 1, 121-125 (in Ukrainian); translation in Ukr. Math. J., 1995, V.47, N 1, 142-148.
  71. Popovych V.O. and Popovych R.O., Exact solutions of Navier-Stokes equations for shear flows, Akad. Nauk Ukrainy Inst. Mat. Preprint N 8, 1997, 24 pages (in Ukrainian).
  72. Fushchych W.I., Popovych R.O., Symmetry reduction and exact solution of the Navier-Stokes equations. I, J. Nonlinear Math. Phys., 1994, V. 1, N 1, 75-113 [pdf], arXiv:math-ph/0207016 or [pdf].
  73. Fushchych W.I., Popovych R.O., Symmetry reduction and exact solution of the Navier-Stokes equations. II, J. Nonlinear Math. Phys., 1994, V. 1, N 2, 158-188 [pdf], arXiv:math-ph/0207016 or [pdf].
  74. Fushchych W. I., Popovych R.O. and Popovych G.V., Ansätze of codimension one for the Navier-Stokes field and reduction of the Navier-Stokes equations, Proceedings of Ukrainian Acad. of Sci., 1994, N 4, 37-44 [pdf].
  75. Fushchych W.I. and Popovych R.O., Symmetry reduction and exact solutions of Navier-Stokes equations, Preprint N 7, Kyiv, Institute of Mathematics, 1993, 56 p.
  76. Popovych R.O., On solutions of the Navier-Stokes equations expressed via solutions of the heat equation, in Symmetry Analysis of Equations of Mathematical Physics, Kyiv, Institute of Mathematics, Editor W.I. Fushchych, 1992, 90-92.
  77. Fushchych W. I., Shtelen W.M. and Popovych R.O., On the reduction of Navier-Stokes equations to linear heat equations, Proceedings of Ukrainian Acad. of Sci., 1992, N 2, 23-30 (in Ukrainian) [pdf].
  78. Popovych R.O., General solution of Navier-Stokes equations with an additional condition, Proceedings of Ukrainian Acad. of Sci., 1992, N 4, 21-24 (in Ukrainian).
  79. Fushchych W. I. and Popovych R.O., Symmetry reduction of the Navier-Stokes equations to linear two-dimensional systems of equations, Proceedings of Ukrainian Acad. of Sci., 1992, N 8, 29-37 [pdf].
  80. Fushchych W. I., Shtelen W.M., Serov M.I. and Popovych R.O., Q-conditional symmetry of the linear heat equation, Proceedings of Ukrainian Acad. of Sci., 1992, N 12, 28-33 [pdf].
  81. Popovych R.O., On general solutionsand symmetry of Navier-Stokes equations with additional condition  $(\vec u\cdot\nabla)\vec u=\vec 0$, Proceedings of the International conference dedicated the memory of acad. M.P. Kravchuk (Kyiv: Acad. Sci. Ukraine, Inst. Math.), 1992, 163 (in Ukrainian).
  82. Popovych R.O., Symmetry properties of an integro-differential equation of Hartree type, in Algebro-Theoretic Analysis of Equations in Mathematical Physics, Kyiv, Institute of Mathematics, Editor W.I. Fushchych, 1990, 50-53 (in Russian).
  83. Goncharenko V.M., Popovych R.E., Popovych G.V. and Halikov D., Method of boundary integral equations in problem on steady-state oscillations of elastic body with cracks, UkrNIINTI Preprint. N 2684-Uk89, 1989, 27 pages (in Russian).
  84. Goncharenko V.M., Popovych R.E., On problem of difraction of plane monochromatic wave on crack of finite length, UkrNIINTI Preprint. N 2685-Uk89, 1989, 20 pages (in Russian).
  85. Ayvazova L.S., Goncharenko V.M., Goncharenko M.I. and Popovych R.E., On heat deformation arising upon laser irradiation of rigid body, UkrNIINTI Preprint. N 2686-Uk89, 1989, 20 pages (in Russian).
EDITORIAL ACTIVITIES
  1. Ivanova N.M., Popovych R.O., Sophocleous C., Damianou P. and Nikitin A.G. (Editors), Proceedings of 4th Workshop "Group Analysis of Differential Equations and Integrable Systems" (26-30 October 2008, Protaras, Cyprus), 256 pp.
  2. Boyko V.M., Nikitin A.G. and Popovych R.O. (Editors), Symmetry and Integrability of Equations of Mathematical Physics (Dedicated to the 70-th Anniversary of Professor W.I. Fushchych), Collection of Works of Institute of Mathematics, Kyiv, 2006, V.3, N 2, 400 pp. You can download pdf (1.94 Mb).
  3. Boyko V.M., Gorbachuk M.L., Lukovs'kyi I.O., Nikitin A.G., Popovych R.O., Samoilenko A.M. (Editors), W.I. Fushchych, Selected Works, Kyiv, Naukova Dumka, 2005, 448 pp.
  4. Nikitin A.G., Boyko V.M., Popovych R.O. and Yehorchenko I.A. (Editors), Proceedings of Fifth International Conference ''Symmetry in Nonlinear Mathematical Physics'' (23-29 June, 2003, Kyiv), Proceedings of Institute of Mathematics, Kyiv, 2004, V.50, Parts 1-3, 1528 pp.
  5. Nikitin A.G., Boyko V.M. and Popovych R.O. (Editors), Proceedings of Fourth International Conference ''Symmetry in Nonlinear Mathematical Physics'' (9-15 July, 2001, Kyiv), Proceedings of Institute of Mathematics, Kyiv, 2002, V.43, Parts 1-2, 784 pp.
  6. Boyko V.M., Lykova O.B., Popovych R.O. and Pustovoitov M.O. (Editors), Outlines of History of Mathematics and Mathematical Sciences (on the Occasion of Ninetieth Birthday of O.M. Bogolyubov), Proceedings of Institute of Mathematics, Kyiv, 2001, V.39, 160 pp.
  7. Boyko V.M., Nikitin A.G. and Popovych R.O. (Editors), Group and Analytic Methods in Mathematical Physics, Proceedings of Institute of Mathematics, Kyiv, 2001, V.36, 324 pp. You can download pdf (1.63 Mb) or pdf-booklet (1.53 Mb).
  8. Bogolyubov O.M., Popovych R.O. and Pustovoitov M.O. (Editors), Mathematics and the Mathematical Sciences in Ukraine in the Twentieth Century (Proceedings of the International Summer Scientific School held in Kam'yanets'-Podil's'kii, July 1-7, 1999), Proceedings of Institute of Mathematics, Kyiv, 2001, V.34, 240 pp.
  9. Vasilenko O.F., Popovych G.V. and Vertsanova E.V., Handbook on solving problems of mathematical programming (Editor: Popovych R.O.), Kyiv, MAUP, 1999, 200 pp.
  10. Nikitin A.G., Lopatin O.K., Boyko V.M., Zhdanov R.Z., Popovych R.O. and Cherniha R.M. (Editors), Symmetry and Analytic Methods in Mathematical Physics, Proceedings of Institute of Mathematics, Kyiv, 1998, V.19, 280 pp. You can download pdf (1.35 Mb) or pdf-booklet (1.27 Mb).
  11. Bogolyubov O.M., Vyvrot T.M., Koshlyakov V.M., Pustovoitov M.O. and Popovych R.O. (Editors), The Institute of Mathematics. Outlines of Its Development, Proceedings of Institute of Mathematics, Kyiv, 1997, V.17, 248 pp.