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Publications in Math-Net.Ru |
Citations |
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2025 |
| 1. |
S. V. Meleshko, “Group classification and compatibility analysis of equations describing helical flows of an ideal incompressible fluid”, TMF, 225:1 (2025), 23–40   ; Theoret. and Math. Phys., 225:1 (2025), 1712–1726  |
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2024 |
| 2. |
C. Chittam, S. V. Meleshko, “Analytical solution of the viscoelastic Maxwell equations with a critical point in cylindrical geometry”, Prikl. Mekh. Tekh. Fiz., 65:5 (2024), 208–212 ; J. Appl. Mech. Tech. Phys., 65:5 (2024), 980–984 |
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2022 |
| 3. |
S. V. Meleshko, P. Siriwat, “Group classification of two-dimensional Green–Naghdi equations in the case of time-independent bottom topography”, Prikl. Mekh. Tekh. Fiz., 63:6 (2022), 68–81  ; J. Appl. Mech. Tech. Phys., 63:6 (2022), 972–983 |
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2021 |
| 4. |
Yu. N. Grigor'ev, S. V. Meleshko, P. Siriwat, “Unsteady one-dimensional flows of a vibrationally excited gas”, Prikl. Mekh. Tekh. Fiz., 62:3 (2021), 15–24 ; J. Appl. Mech. Tech. Phys., 62:3 (2021), 360–370 |
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| 5. |
S. V. Meleshko, E. Shul'tz, “Application of the method of differential constraints to systems of equations written in Riemann invariants”, Prikl. Mekh. Tekh. Fiz., 62:3 (2021), 5–14 ; J. Appl. Mech. Tech. Phys., 62:3 (2021), 351–360 |
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2020 |
| 6. |
Ch. Kaewmanee, S. V. Meleshko, “Group analysis of one-dimensional gas dynamics equations in Lagrangian coordinates and conservation laws”, Prikl. Mekh. Tekh. Fiz., 61:2 (2020), 40–59 ; J. Appl. Mech. Tech. Phys., 61:2 (2020), 189–206 |
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2019 |
| 7. |
Yu. N. Grigor'ev, S. V. Meleshko, A. Suriyawichitseranee, “Group properties of equations of the kinetic theory of coagulation”, Prikl. Mekh. Tekh. Fiz., 60:2 (2019), 190–206 ; J. Appl. Mech. Tech. Phys., 60:2 (2019), 350–364 |
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2018 |
| 8. |
Yu. N. Grigor'ev, S. V. Meleshko, A. Suriyawichitseranee, “Exact solutions of the Boltzmann equations with a source”, Prikl. Mekh. Tekh. Fiz., 59:2 (2018), 3–11 ; J. Appl. Mech. Tech. Phys., 59:2 (2018), 189–196 |
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2017 |
| 9. |
S. V. Meleshko, A. G. Petrova, V. V. Pukhnachev, “Characteristic properties of the system of equations of an incompressible viscoelastic Maxwell medium”, Prikl. Mekh. Tekh. Fiz., 58:5 (2017), 44–50 ; J. Appl. Mech. Tech. Phys., 58:5 (2017), 794–800 |
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| 10. |
L.-Q. Zhou, S. V. Meleshko, “Symmetry groups of integrodifferential equations for linear thermoviscoelastic materials with memory”, Prikl. Mekh. Tekh. Fiz., 58:4 (2017), 22–45 ; J. Appl. Mech. Tech. Phys., 58:4 (2017), 587–609 |
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2014 |
| 11. |
M. A. Abdullin, S. V. Meleshko, F. S. Nasyrov, “A new approach to the group analysis of one-dimensional stochastic differential equations”, Prikl. Mekh. Tekh. Fiz., 55:2 (2014), 5–13 ; J. Appl. Mech. Tech. Phys., 55:2 (2014), 191–198 |
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2013 |
| 12. |
S. V. Meleshko, O. Sumrum, E. Schulz, “Application of group analysis to stochastic equations of fluid dynamics”, Prikl. Mekh. Tekh. Fiz., 54:1 (2013), 25–39 |
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2010 |
| 13. |
Warisa Nakpim, Sergey V. Meleshko, “Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations”, SIGMA, 6 (2010), 051, 11 pp.  |
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2008 |
| 14. |
Piyanuch Siriwat, Sergey V. Meleshko, “Applications of Group Analysis to the Three-Dimensional Equations of Fluids with Internal Inertia”, SIGMA, 4 (2008), 027, 19 pp.  |
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1999 |
| 15. |
S. V. Meleshko, V. V. Pukhnachev, “One class of partially invariant solutions of the Navier–Stokes equations”, Prikl. Mekh. Tekh. Fiz., 40:2 (1999), 24–33 ; J. Appl. Mech. Tech. Phys., 40:2 (1999), 208–216 |
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1997 |
| 16. |
Yu. N. Grigor'ev, S. V. Meleshko, “Complete Lie group and invariant solutions of a system of Boltzmann equations of a multicomponent mixture of gases”, Sibirsk. Mat. Zh., 38:3 (1997), 510–525 ; Siberian Math. J., 38:3 (1997), 434–448 |
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1996 |
| 17. |
S. V. Meleshko, “Nonstationary nonisentropic spatial double wave flows”, Prikl. Mekh. Tekh. Fiz., 37:2 (1996), 50–61 ; J. Appl. Mech. Tech. Phys., 37:2 (1996), 190–199 |
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| 18. |
S. V. Meleshko, “Group classification of equations of motion of a gas in a constant force field”, Prikl. Mekh. Tekh. Fiz., 37:1 (1996), 42–47 ; J. Appl. Mech. Tech. Phys., 37:1 (1996), 364–40 |
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1995 |
| 19. |
S. V. Meleshko, “On double waves of equations with three independent variables”, Dokl. Akad. Nauk, 345:6 (1995), 740–742 |
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1994 |
| 20. |
S. V. Meleshko, “On a class of partially invariant solutions of plane gas flows”, Differ. Uravn., 30:10 (1994), 1825–1827 ; Differ. Equ., 30:10 (1994), 1690–1693 |
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1991 |
| 21. |
S. V. Meleshko, “Solutions, with a degenerate hodograph, of quasisteady equations of the theory of plasticity with the von Mises yield condition”, Prikl. Mekh. Tekh. Fiz., 32:1 (1991), 82–88 ; J. Appl. Mech. Tech. Phys., 32:1 (1991), 77–84 |
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1990 |
| 22. |
S. V. Meleshko, “Double waves in an ideal rigidly plastic body under plane deformation”, Prikl. Mekh. Tekh. Fiz., 31:2 (1990), 131–136 ; J. Appl. Mech. Tech. Phys., 31:2 (1990), 286–291 |
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1987 |
| 23. |
S. V. Meleshko, Yu. N. Grigor'ev, “Group analysis of the Boltzmann integro-differential equation”, Dokl. Akad. Nauk SSSR, 297:2 (1987), 323–327 |
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| 24. |
S. V. Meleshko, Yu. V. Pokornyi, “On a vibrational boundary value problem”, Differ. Uravn., 23:8 (1987), 1466–1467 |
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1983 |
| 25. |
S. V. Meleshko, “Differential constraints and one-parameter groups of Lie–Bäcklund transformations”, Dokl. Akad. Nauk SSSR, 271:1 (1983), 42–46 |
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1981 |
| 26. |
V. G. Ganzha, S. V. Meleshko, F. A. Mursin, V. P. Shapeev, N. N. Yanenko, “Realization on a computer of an algorithm for studying the consistency of systems of partial differential equations”, Dokl. Akad. Nauk SSSR, 261:5 (1981), 1044–1046 |
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1980 |
| 27. |
S. V. Meleshko, V. P. Shapeev, N. N. Yanenko, “The method of differential constraints and the problem of the breakdown of an arbitrary discontinuity”, Dokl. Akad. Nauk SSSR, 254:4 (1980), 796–798 |
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