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Sazonov, Leonid Ivanovich
(1946–2015)
Statistics Math-Net.Ru
Total publications: 35
Scientific articles: 35

Number of views:
This page:1043
Abstract pages:10068
Full texts:3622
References:1492
Associate professor
Keywords: stationary Navier-Stokes equations, exterior domain, hydrodynamic potentials, drag force.

https://www.mathnet.ru/eng/person8802
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/224742

Publications in Math-Net.Ru Citations
2017
1. L. I. Sazonov, “High-frequency asymptotics of solutions of ODE in a Banach space”, Izv. RAN. Ser. Mat., 81:6 (2017),  180–198  mathnet  elib; Izv. Math., 81:6 (2017), 1234–1252  isi  scopus 1
2016
2. L. I. Sazonov, “On the Existence of Periodic Solutions of Ordinary Differential Equations with High-Frequency Summands in a Banach Space”, Mat. Zametki, 100:6 (2016),  900–910  mathnet  mathscinet  elib; Math. Notes, 101:2 (2017), 310–319  isi  scopus 2
2015
3. L. I. Sazonov, “On the stability of bounded solutions to the Navier–Stokes equations in the whole space”, Vladikavkaz. Mat. Zh., 17:4 (2015),  67–74  mathnet
2013
4. L. I. Sazonov, “Existence of transitions between stationary regimes of the Navier–Stokes equations in the entire space”, Zh. Vychisl. Mat. Mat. Fiz., 53:9 (2013),  1555–1568  mathnet  elib; Comput. Math. Math. Phys., 53:9 (2013), 1377–1390  isi  elib  scopus
2012
5. L. I. Sazonov, “Estimates of Perturbed Oseen Semigroups and Their Applications to the Navier–Stokes System in $\mathbb{R}^n$”, Mat. Zametki, 91:6 (2012),  880–895  mathnet  mathscinet  elib; Math. Notes, 91:6 (2012), 833–846  isi  elib  scopus 1
2011
6. L. I. Sazonov, “The three-dimensional stationary flow problem at small Reynolds numbers”, Izv. RAN. Ser. Mat., 75:6 (2011),  99–128  mathnet  mathscinet  zmath  elib; Izv. Math., 75:6 (2011), 1185–1214  isi  elib  scopus 1
7. L. I. Sazonov, “The existence of transitions between stationary regimes of the flow problem”, Vladikavkaz. Mat. Zh., 13:4 (2011),  60–69  mathnet 1
2010
8. L. I. Sazonov, “Estimates of the perturbed Oseen semigroup in $\mathbb R^n$ and stability of the Navier–Stokes flow”, Vladikavkaz. Mat. Zh., 12:3 (2010),  71–82  mathnet  elib 2
2009
9. L. I. Sazonov, “Estimates for the perturbed Oseen semigroup”, Vladikavkaz. Mat. Zh., 11:3 (2009),  51–61  mathnet  mathscinet  elib 5
2007
10. L. I. Sazonov, “On the existence of a generalized solution of the conjugation problem for the Navier–Stokes system”, Mat. Sb., 198:12 (2007),  63–86  mathnet  mathscinet  zmath  elib; Sb. Math., 198:12 (2007), 1763–1786  isi  elib  scopus
2006
11. L. I. Sazonov, “On applicability of the projection method to two-dimensional Toeplitz operators with measurable symbol”, Sibirsk. Mat. Zh., 47:3 (2006),  636–648  mathnet  mathscinet  zmath  elib; Siberian Math. J., 47:3 (2006), 526–536  isi  scopus
2003
12. L. I. Sazonov, “The justification of an asymptotic expansion for the solution of the two-dimensional flow problem at small Reynolds numbers”, Izv. RAN. Ser. Mat., 67:5 (2003),  125–154  mathnet  mathscinet  zmath; Izv. Math., 67:5 (2003), 975–1006  isi  scopus 3
13. L. I. Sazonov, “Stability of periodic solutions of Navier–Stokes equations in a three-dimensional exterior domain”, Izv. RAN. Ser. Mat., 67:4 (2003),  155–170  mathnet  mathscinet  zmath; Izv. Math., 67:4 (2003), 781–795  isi  scopus 2
14. L. I. Sazonov, “Two-Dimensional Töplitz Operators with Measurable Symbols”, Mat. Zametki, 74:1 (2003),  88–98  mathnet  mathscinet  zmath; Math. Notes, 74:1 (2003), 81–90  isi  scopus
1999
15. L. I. Sazonov, “$C^*$-algebras of bisingular operators with discontinuous coefficients”, Izv. RAN. Ser. Mat., 63:2 (1999),  167–200  mathnet  mathscinet  zmath; Izv. Math., 63:2 (1999), 367–399  isi  scopus
16. L. I. Sazonov, “On the asymptotic behavior of the solution of the two-dimensional stationary problem of the flow past a body far from it”, Mat. Zametki, 65:2 (1999),  246–253  mathnet  mathscinet  zmath; Math. Notes, 65:2 (1999), 202–207  isi 16
1997
17. M. Yu. Zhukov, L. I. Sazonov, “Asymptotics of the eigenvalues for a boundary value problem with $\delta$-like coefficients”, Differ. Uravn., 33:4 (1997),  470–477  mathnet  mathscinet; Differ. Equ., 33:4 (1997), 469–477
1996
18. L. I. Sazonov, “On bisingular operators with measurable coefficients”, Sibirsk. Mat. Zh., 37:2 (1996),  389–398  mathnet  mathscinet  zmath; Siberian Math. J., 37:2 (1996), 335–343  isi 3
1995
19. L. I. Sazonov, “On the asymptotics of the solution to the three-dimensional problem of flow far from streamlined bodies”, Izv. RAN. Ser. Mat., 59:5 (1995),  173–196  mathnet  mathscinet  zmath; Izv. Math., 59:5 (1995), 1051–1075  isi 7
1994
20. L. I. Sazonov, “Justification of the linearization method in the flow problem”, Izv. RAN. Ser. Mat., 58:5 (1994),  85–109  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 45:2 (1995), 315–337  isi 9
21. L. I. Sazonov, “On bisingular operators in the space $L_p(\mathbb R^2)$ with some invariance conditions”, Mat. Zametki, 55:4 (1994),  74–82  mathnet  mathscinet  zmath; Math. Notes, 55:4 (1994), 387–393  isi 2
22. L. I. Sazonov, “On origination of auto-oscillations in flowing”, Sibirsk. Mat. Zh., 35:6 (1994),  1354–1361  mathnet  mathscinet  zmath; Siberian Math. J., 35:6 (1994), 1202–1209  isi 6
1993
23. L. I. Sazonov, “On the existence of a stationary symmetric solution of the two-dimensional fluid flow problem”, Mat. Zametki, 54:6 (1993),  138–141  mathnet  mathscinet  zmath; Math. Notes, 54:6 (1993), 1280–1283  isi 14
1992
24. L. I. Sazonov, “Justification of the linearization method in a flow problem”, Dokl. Akad. Nauk, 323:1 (1992),  48–51  mathnet  mathscinet; Dokl. Math., 37:3 (1992), 124–125 1
1988
25. L. I. Sazonov, V. I. Yudovich, “Stability of the stationary solutions of parabolic equations and of a Navier–Stokes system in a whole space”, Sibirsk. Mat. Zh., 29:1 (1988),  151–158  mathnet  mathscinet  zmath; Siberian Math. J., 29:1 (1988), 117–123  isi 5
1985
26. L. I. Sazonov, “Bisingular characteristic operators with discontinuous coefficients in the space $L_2(\mathbf R_2)$”, Funktsional. Anal. i Prilozhen., 19:2 (1985),  90–91  mathnet  mathscinet  zmath; Funct. Anal. Appl., 19:2 (1985), 158–159  isi 5
1981
27. L. I. Sazonov, “Normal solvability of two-dimensional Toeplitz operators”, Mat. Zametki, 30:2 (1981),  261–268  mathnet  mathscinet  zmath; Math. Notes, 30:2 (1981), 618–622  isi
1980
28. A. G. Myasnikov, L. I. Sazonov, “On singular operators with a non-Carleman shift and their symbols”, Dokl. Akad. Nauk SSSR, 254:5 (1980),  1076–1080  mathnet  mathscinet  zmath 1
29. A. G. Myasnikov, L. I. Sazonov, “Singular integral operators with non-karleman shift on an open contour”, Funktsional. Anal. i Prilozhen., 14:1 (1980),  71–72  mathnet  mathscinet  zmath; Funct. Anal. Appl., 14:1 (1980), 57–58 1
30. A. G. Myasnikov, L. I. Sazonov, “Singular integral operators with non-Carleman shift”, Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 3,  22–31  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 24:3 (1980), 22–31 2
1979
31. V. S. Pilidi, L. I. Sazonov, “On bisingular integral operators in spaces of Hölder functions”, Dokl. Akad. Nauk SSSR, 246:2 (1979),  278–282  mathnet  mathscinet  zmath
1977
32. A. G. Myasnikov, L. I. Sazonov, “On singular integral operators with non-Carleman shift”, Dokl. Akad. Nauk SSSR, 237:6 (1977),  1289–1292  mathnet  mathscinet  zmath 2
1974
33. V. S. Pilidi, L. I. Sazonov, “A priori estimates for characteristic bisingular integral operators”, Dokl. Akad. Nauk SSSR, 217:2 (1974),  285–287  mathnet  mathscinet  zmath 1
1973
34. L. I. Sazonov, “On a solution of the problem of linear conjugation for analytic functions of two complex variables”, Dokl. Akad. Nauk SSSR, 209:6 (1973),  1288–1291  mathnet  mathscinet  zmath
35. L. I. Sazonov, “A bisingular equation with translation in the space $L_p$”, Mat. Zametki, 13:3 (1973),  385–393  mathnet  mathscinet  zmath; Math. Notes, 13:3 (1973), 235–239 2

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