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Zakharov, Sergei Viktorovich
Statistics Math-Net.Ru
Total publications: 30
Scientific articles: 30

Number of views:
This page:1358
Abstract pages:11779
Full texts:3395
References:2259
Senior Researcher
Candidate of physico-mathematical sciences (2006)
E-mail:

https://www.mathnet.ru/eng/person11231
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/686560

Publications in Math-Net.Ru Citations
2025
1. S. V. Zakharov, “Calculation of the asymptotics of the solution of the inhomogeneous heat equation by the auxiliary parameter method”, Mat. Zametki, 117:6 (2025),  910–921  mathnet; Math. Notes, 117:6 (2025), 1023–1033  scopus
2024
2. S. V. Zakharov, “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  mathnet  mathscinet  zmath; Sb. Math., 215:1 (2024), 101–118  isi  scopus 1
3. S. V. Zakharov, “Cauchy problem for a nonlinear Schrödinger equation with a large initial gradient in the weakly dispersive limit”, TMF, 219:1 (2024),  3–11  mathnet  mathscinet; Theoret. and Math. Phys., 219:1 (2024), 531–538  scopus
2023
4. S. V. Zakharov, “Reconstructions of the asymptotics of an integral determined by a hyperbolic unimodal singularity”, Funktsional. Anal. i Prilozhen., 57:4 (2023),  60–74  mathnet  mathscinet; Funct. Anal. Appl., 57:4 (2023), 314–325  isi  scopus
5. S. V. Zakharov, “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  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 321, suppl. 1 (2023), S257–S269  isi
2022
6. S. V. Zakharov, “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  mathnet  elib
7. Sergey V. Zakharov, “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  mathnet  mathscinet  elib 1
2021
8. Sergey V. Zakharov, “The asymptotics of a solution of the multidimensional heat equation with unbounded initial data”, Ural Math. J., 7:1 (2021),  168–177  mathnet  mathscinet  zmath  elib  scopus 1
2020
9. S. V. Zakharov, “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  mathnet  elib; Comput. Math. Math. Phys., 60:5 (2020), 821–832  isi  scopus 3
2019
10. S. V. Zakharov, “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  mathnet  mathscinet  elib
11. Sergey V. Zakharov, “Asymptotic solutions of a parabolic equation near singular points of $A$ and $B$ types”, Ural Math. J., 5:1 (2019),  101–108  mathnet  mathscinet  zmath  elib  scopus
2018
12. S. V. Zakharov, “Asymptotic solution of the multidimensional Burgers equation near a singularity”, TMF, 196:1 (2018),  42–49  mathnet  mathscinet  elib; Theoret. and Math. Phys., 196:1 (2018), 976–982  isi  scopus 5
2017
13. S. V. Zakharov, “Two-parameter asymptotics in a bisingular Cauchy problem for a parabolic equation”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:2 (2017),  94–103  mathnet  elib; Proc. Steklov Inst. Math., 301, suppl. 1 (2018), S191–S200  isi 2
14. A. R. Danilin, S. V. Zakharov, O. O. Kovrizhnykh, E. F. Lelikova, I. V. Pershin, O. Yu. Khachay, “The Yekaterinburg heritage of Arlen Mikhailovich Il'in”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:2 (2017),  42–66  mathnet  elib 2
15. S. V. Zakharov, A. E. Elbert, “Modelling compression waves with a large initial gradient in the Korteweg–de Vries hydrodynamics”, Ufimsk. Mat. Zh., 9:1 (2017),  42–54  mathnet  elib; Ufa Math. J., 9:1 (2017), 41–53  isi  scopus 1
16. Alexander E. Elbert, Sergey V. Zakharov, “Dispersive rarefaction wave with a large initial gradient”, Ural Math. J., 3:1 (2017),  33–43  mathnet  mathscinet  elib
2016
17. S. V. Zakharov, “Asymptotic calculation of the heat distribution on a plane”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:1 (2016),  93–99  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 296, suppl. 1 (2017), S243–S249  isi  scopus 2
2015
18. S. V. Zakharov, “Singularities of $A$ and $B$ Types in Asymptotic Analysis of Solutions of a Parabolic Equation”, Funktsional. Anal. i Prilozhen., 49:4 (2015),  82–85  mathnet  elib; Funct. Anal. Appl., 49:4 (2015), 307–310  isi  scopus 6
19. S. V. Zakharov, “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  mathnet  mathscinet  elib 2
2014
20. S. V. Zakharov, “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  mathnet  mathscinet  elib
2013
21. S. V. Zakharov, “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  mathnet  mathscinet  elib 1
22. S. V. Zakharov, “Renormalization in the Cauchy problem for the Korteweg–de Vries equation”, TMF, 175:2 (2013),  173–177  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 175:2 (2013), 592–595  isi  elib  scopus 3
2012
23. S. V. Zakharov, “Regular asymptotics of a generalized solution of the stationary Navier–Stokes system”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:2 (2012),  108–113  mathnet  elib; Proc. Steklov Inst. Math., 281, suppl. 1 (2013), S146–S151  isi  scopus 3
2011
24. S. V. Zakharov, “Renormalization in the Causy problem with two small parameters”, Vestnik Chelyabinsk. Gos. Univ., 2011, no. 14,  79–84  mathnet
2010
25. S. V. Zakharov, “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  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 50:4 (2010), 665–672  isi  elib  scopus 11
2007
26. S. V. Zakharov, “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  mathnet  elib; Proc. Steklov Inst. Math., 259, suppl. 2 (2007), S243–S249  scopus
2006
27. S. V. Zakharov, “Heat Distribution in an Infinite Rod”, Mat. Zametki, 80:3 (2006),  379–385  mathnet  mathscinet  zmath  elib; Math. Notes, 80:3 (2006), 366–371  isi  elib  scopus 11
28. S. V. Zakharov, “Asymptotic solution of a Cauchy problem in a neighbourhood of a gradient catastrophe”, Mat. Sb., 197:6 (2006),  47–62  mathnet  mathscinet  zmath  elib; Sb. Math., 197:6 (2006), 835–851  isi  elib  scopus 7
2004
29. S. V. Zakharov, “The nucleation of a shock wave in the Cauchy problem for the Burgers equation”, Zh. Vychisl. Mat. Mat. Fiz., 44:3 (2004),  536–542  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 44:3 (2004), 506–513 7
2001
30. S. V. Zakharov, A. M. Il'in, “From weak discontinuity to gradient catastrophe”, Mat. Sb., 192:10 (2001),  3–18  mathnet  mathscinet  zmath; Sb. Math., 192:10 (2001), 1417–1433  isi  scopus 24

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