Nesterov Andrei Vladimirovich

Publications in Math-Net.Ru

1. Asymptotics of solutions of the Cauchy problem for a singularly perturbed operator differential transport equation
   
   TMF, 220:2 (2024),  327–338
2. On asymptotics of the solution to the Cauchy problem for a singularly perturbed operator-differential transport equation with weak diffusion in the case of several space variables
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:3 (2024),  526–533
3. Asymptotics of the solution to the Cauchy problem for a singularly perturbed operator differential transport equation with weak diffusion
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:2 (2023),  273–281
4. On the asymptotics of the solution to the Cauchy problem for a singularly perturbed system of transfer equations with low nonlinear diffusion
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 192 (2021),  84–93
5. Asymptotics of the solution to the Cauchy problem for a singularly perturbed operator differential transport equation in several space variables
   
   Zh. Vychisl. Mat. Mat. Fiz., 61:12 (2021),  2050–2058
6. The effect of weak mutual diffusion on transport processes in a multiphase medium
   
   Zh. Vychisl. Mat. Mat. Fiz., 61:3 (2021),  519–528
7. The asymptotic decomposition of solution of singularly perturbed differential and operational nonlinear equation with variable coefficients
   
   Mat. Model., 28:1 (2016),  117–131
8. On the structure of solutions of a class of hyperbolic systems with several spatial variables in the far field
   
   Zh. Vychisl. Mat. Mat. Fiz., 56:4 (2016),  639–649
9. The asymptotic decomposition of solution of singularly perturbed differential and operational equation in the critical case
   
   Mat. Model., 26:4 (2014),  65–79
10. On the asymptotics of the solution to a singularly perturbed hyperbolic system of equations with several spatial variables in the critical case
    
    Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014),  450–462
11. On the asymptotics of the solution to a singularly perturbed system of first-order partial differential equations with small nonlinearity in the critical case
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:7 (2012),  1267–1276
12. Asymptotic behavior of the solution of the Cauchy problem for a singularly perturbed system of hyperbolic equations
    
    Chebyshevskii Sb., 12:3 (2011),  93–105
13. On the asymptotic behavior of the solution of a singularly perturbed system of parabolic equations in the critical case
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:2 (2010),  268–275
14. Asymptotics of the solution to a singularly perturbed system of first-order partial differential equations with small nonlinearity in the critical case
    
    Zh. Vychisl. Mat. Mat. Fiz., 47:3 (2007),  438–444
15. The asymptotic solution of weak nonlinear differential equation system “reaction-diffusion” type
    
    Mat. Model., 16:8 (2004),  50–58
16. The asymptotic solution of weak nonlinear differential equation system “reaction-transfer” type
    
    Mat. Model., 13:12 (2001),  58–64
17. The asymptotic behavior of the solution to a parabolic equation with singularly perturbed boundary conditions
    
    Zh. Vychisl. Mat. Mat. Fiz., 37:9 (1997),  1087–1093
18. Asymptotics of solution of singularly perturbed elliptic equation with piecewise-continuous boundary condition
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 2,  3–7
19. The asymptotic form of the solution of an elliptic equation with the singularly perturbed boundary condition
    
    Zh. Vychisl. Mat. Mat. Fiz., 34:11 (1994),  1718–1723
20. Modification of the method of boundary functions for singularly perturbed partial differential equations
    
    Mat. Zametki, 54:1 (1993),  57–64
21. The asymptotic solution of a singularly perturbed parabolic equation with piecewise-smooth boundary condition
    
    Zh. Vychisl. Mat. Mat. Fiz., 33:12 (1993),  1806–1814
22. On the asymptotic form of the solution of a parabolic equation with a singularly perturbed boundary condition
    
    Zh. Vychisl. Mat. Mat. Fiz., 31:9 (1991),  1320–1327
23. The asymptotic forms of the solution of a non-linear problem for a singularly perturbed system of diffusion-absorption equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 30:7 (1990),  1103–1107
24. Asymptotic representation of the solution of the problem of the propagation of acoustic waves in a non-uniform compressible relaxing medium
    
    Zh. Vychisl. Mat. Mat. Fiz., 30:5 (1990),  705–715
25. Asymptotic behavior of the solution with a transition layer of a singularly perturbed hyperbolic system of equations
    
    Dokl. Akad. Nauk SSSR, 305:6 (1989),  1350–1353
26. On the asymptotic forms of the solution of a system of diffusion–sorption equations with small diffusion coefficients
    
    Zh. Vychisl. Mat. Mat. Fiz., 29:9 (1989),  1318–1330
27. The proof of a quasi-equilibrium approximation in the theory of sorption dynamics
    
    Zh. Vychisl. Mat. Mat. Fiz., 27:7 (1987),  1005–1011
28. Asymptotic behaviour of the solution of a singularly perturbed boundary value problem for the system of diffusion–sorption equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 27:2 (1987),  219–225
29. Some singularly perturbed problems of hyperbolic type with transition layers
    
    Differ. Uravn., 22:10 (1986),  1739–1744
30. A singularly perturbed boundary value problem of elliptic type with nonsmooth angular boundary layer functions
    
    Differ. Uravn., 21:10 (1985),  1751–1755
31. On some singularly perturbed problems with nonsmooth boundary functions
    
    Dokl. Akad. Nauk SSSR, 263:4 (1982),  786–789
32. The asymptotics of the solution of an equation of parabolic type with small parameters multiplying the highest derivatives
    
    Zh. Vychisl. Mat. Mat. Fiz., 22:4 (1982),  865–870


33. To the memory of Valentin Fedorovich Butuzov
    
    Chebyshevskii Sb., 22:4 (2021),  385–387
34. Erratum to: “On the Asymptotics of the Solution to a Singularly Perturbed Hyperbolic System of Equations with Several Spatial Variables in the Critical Case”
    
    Zh. Vychisl. Mat. Mat. Fiz., 54:11 (2014),  1832