Meleshko Sergey Vasil'evich

Publications in Math-Net.Ru

1. 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
2. Unsteady one-dimensional flows of a vibrationally excited gas
   
   Prikl. Mekh. Tekh. Fiz., 62:3 (2021),  15–24
3. Application of the method of differential constraints to systems of equations written in Riemann invariants
   
   Prikl. Mekh. Tekh. Fiz., 62:3 (2021),  5–14
4. Group analysis of one-dimensional gas dynamics equations in Lagrangian coordinates and conservation laws
   
   Prikl. Mekh. Tekh. Fiz., 61:2 (2020),  40–59
5. Group properties of equations of the kinetic theory of coagulation
   
   Prikl. Mekh. Tekh. Fiz., 60:2 (2019),  190–206
6. Exact solutions of the Boltzmann equations with a source
   
   Prikl. Mekh. Tekh. Fiz., 59:2 (2018),  3–11
7. Characteristic properties of the system of equations of an incompressible viscoelastic Maxwell medium
   
   Prikl. Mekh. Tekh. Fiz., 58:5 (2017),  44–50
8. Symmetry groups of integrodifferential equations for linear thermoviscoelastic materials with memory
   
   Prikl. Mekh. Tekh. Fiz., 58:4 (2017),  22–45
9. A new approach to the group analysis of one-dimensional stochastic differential equations
   
   Prikl. Mekh. Tekh. Fiz., 55:2 (2014),  5–13
10. Application of group analysis to stochastic equations of fluid dynamics
    
    Prikl. Mekh. Tekh. Fiz., 54:1 (2013),  25–39
11. Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations
    
    SIGMA, 6 (2010), 051, 11 pp.
12. Applications of Group Analysis to the Three-Dimensional Equations of Fluids with Internal Inertia
    
    SIGMA, 4 (2008), 027, 19 pp.
13. One class of partially invariant solutions of the Navier–Stokes equations
    
    Prikl. Mekh. Tekh. Fiz., 40:2 (1999),  24–33
14. 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
15. Nonstationary nonisentropic spatial double wave flows
    
    Prikl. Mekh. Tekh. Fiz., 37:2 (1996),  50–61
16. Group classification of equations of motion of a gas in a constant force field
    
    Prikl. Mekh. Tekh. Fiz., 37:1 (1996),  42–47
17. On double waves of equations with three independent variables
    
    Dokl. Akad. Nauk, 345:6 (1995),  740–742
18. On a class of partially invariant solutions of plane gas flows
    
    Differ. Uravn., 30:10 (1994),  1825–1827
19. 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
20. Double waves in an ideal rigidly plastic body under plane deformation
    
    Prikl. Mekh. Tekh. Fiz., 31:2 (1990),  131–136
21. Group analysis of the Boltzmann integro-differential equation
    
    Dokl. Akad. Nauk SSSR, 297:2 (1987),  323–327
22. On a vibrational boundary value problem
    
    Differ. Uravn., 23:8 (1987),  1466–1467
23. Differential constraints and one-parameter groups of Lie–Bäcklund transformations
    
    Dokl. Akad. Nauk SSSR, 271:1 (1983),  42–46
24. 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
25. The method of differential constraints and the problem of the breakdown of an arbitrary discontinuity
    
    Dokl. Akad. Nauk SSSR, 254:4 (1980),  796–798