Zakharov Sergei Viktorovich

Publications in Math-Net.Ru

1. Calculation of the asymptotics of the solution of the inhomogeneous heat equation by the auxiliary parameter method
   
   Mat. Zametki, 117:6 (2025),  910–921
2. Constructing the asymptotics of a solution of the heat equation from the known asymptotics of the initial function in three-dimensional space
   
   Mat. Sb., 215:1 (2024),  112–130
3. Cauchy problem for a nonlinear Schrödinger equation with a large initial gradient in the weakly dispersive limit
   
   TMF, 219:1 (2024),  3–11
4. Reconstructions of the asymptotics of an integral determined by a hyperbolic unimodal singularity
   
   Funktsional. Anal. i Prilozhen., 57:4 (2023),  60–74
5. Solution of a Parabolic Hamilton–Jacobi Type Equation Determined by a Simple Boundary Singularity
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 29:1 (2023),  77–90
6. Matching of asymptotic solutions of a parabolic equation in the Cauchy problem with the multiscale evolution of a singularity
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 28:1 (2022),  96–110
7. Evolution of a multiscale singularity of the solution of the Burgers equation in the 4-dimensional space-time
   
   Ural Math. J., 8:1 (2022),  136–144
8. The asymptotics of a solution of the multidimensional heat equation with unbounded initial data
   
   Ural Math. J., 7:1 (2021),  168–177
9. Singular points and asymptotics in the singular Cauchy problem for the parabolic equation with a small parameter
   
   Zh. Vychisl. Mat. Mat. Fiz., 60:5 (2020),  841–852
10. Asymptotics of the solution of the Cauchy problem for the evolutionary Airy equation at large times
    
    Funktsional. Anal. i Prilozhen., 53:3 (2019),  89–91
11. Asymptotic solutions of a parabolic equation near singular points of $A$ and $B$ types
    
    Ural Math. J., 5:1 (2019),  101–108
12. Asymptotic solution of the multidimensional Burgers equation near a singularity
    
    TMF, 196:1 (2018),  42–49
13. Two-parameter asymptotics in a bisingular Cauchy problem for a parabolic equation
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 23:2 (2017),  94–103
14. The Yekaterinburg heritage of Arlen Mikhailovich Il'in
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 23:2 (2017),  42–66
15. Modelling compression waves with a large initial gradient in the Korteweg–de Vries hydrodynamics
    
    Ufimsk. Mat. Zh., 9:1 (2017),  42–54
16. Dispersive rarefaction wave with a large initial gradient
    
    Ural Math. J., 3:1 (2017),  33–43
17. Asymptotic calculation of the heat distribution on a plane
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 22:1 (2016),  93–99
18. Singularities of $A$ and $B$ Types in Asymptotic Analysis of Solutions of a Parabolic Equation
    
    Funktsional. Anal. i Prilozhen., 49:4 (2015),  82–85
19. Singular asymptotics in the Cauchy problem for a parabolic equation with a small parameter
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015),  97–104
20. Justification of the asymptotics of solutions of the Navier–Stokes system for low Reynolds numbers
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:2 (2014),  161–167
21. Asymptotics of a generalized solution of the stationary Navier-Stokes system on a manifold diffeomorphic to a sphere
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 19:4 (2013),  119–124
22. Renormalization in the Cauchy problem for the Korteweg–de Vries equation
    
    TMF, 175:2 (2013),  173–177
23. Regular asymptotics of a generalized solution of the stationary Navier–Stokes system
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:2 (2012),  108–113
24. Renormalization in the Causy problem with two small parameters
    
    Vestnik Chelyabinsk. Gos. Univ., 2011, no. 14,  79–84
25. The Cauchy problem for a quasilinear parabolic equation with a large initial gradient and low viscosity
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:4 (2010),  699–706
26. A construction of a solution to the Burgers equation with a specified asymptotics
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 13:2 (2007),  80–85
27. Heat Distribution in an Infinite Rod
    
    Mat. Zametki, 80:3 (2006),  379–385
28. Asymptotic solution of a Cauchy problem in a neighbourhood of a gradient catastrophe
    
    Mat. Sb., 197:6 (2006),  47–62
29. The nucleation of a shock wave in the Cauchy problem for the Burgers equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 44:3 (2004),  536–542
30. From weak discontinuity to gradient catastrophe
    
    Mat. Sb., 192:10 (2001),  3–18