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## Sazonov, Leonid Ivanovich

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 Author ID: sazonov.leonid-ivanovich Published as: Sazonov, L. I.; Sazonov, Leonid I.; Sazonov, Leonid Ivanovich
 Documents Indexed: 43 Publications since 1973, including 1 Book
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#### Co-Authors

 29 single-authored 5 Myasnikov, Alexei Georgievich 3 Yudovich, Viktor Iosifovich 2 Pilidi, V. S. 2 Zhukov, Mikhail Yu. 1 Babskij, V. G. 1 Esipov, A. A. 1 Korol’, L. E. 1 Mal’tsev, D. A. 1 Vaksman, D. L.
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#### Serials

 8 Mathematical Notes 6 Izvestiya: Mathematics 5 Soviet Mathematics. Doklady 4 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 3 Siberian Mathematical Journal 2 Functional Analysis and its Applications 2 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Dinamika Sploshnoĭ Sredy 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Matematicheskie Zametki 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Differential Equations 1 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya 1 Soviet Mathematics 1 Russian Academy of Sciences. Izvestiya. Mathematics 1 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 1 Sbornik: Mathematics 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ. Severo-Kavkazskiĭ Region. Estestvennye Nauki 1 Differential Equations
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#### Fields

 23 Operator theory (47-XX) 19 Partial differential equations (35-XX) 17 Fluid mechanics (76-XX) 12 Integral equations (45-XX) 7 Ordinary differential equations (34-XX) 4 Functional analysis (46-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX)

#### Citations contained in zbMATH

19 Publications have been cited 43 times in 32 Documents Cited by Year
Asymptotic behavior of the solution to the two-dimensional stationary problem of the flow past a body far from it. Zbl 0974.76021
Sazonov, L. I.
1999
On the existence of a stationary symmetric solution of the two- dimensional fluid flow problem. Zbl 0829.35100
Sazonov, L. I.
1993
Justification of the linearization method in the flow problem. Zbl 0844.76026
Sazonov, L. I.
1994
On the asymptotics of the solution to the three-dimensional problem of flow far from streamlined bodies. Zbl 0922.76102
Sazonov, L. I.
1995
On the origination of auto-oscillations in flows. Zbl 0857.34064
Sazonov, L. I.
1994
Estimates for the perturbed Oseen semigroup. Zbl 1324.35136
Sazonov, L. I.
2009
The stability of the stationary solutions of parabolic equations and of the Navier-Stokes system in the whole space. Zbl 0654.47034
Sazonov, L. I.; Yudovich, V. I.
1988
A priori estimates for characteristic bisingular integral operators. Zbl 0327.45006
Pilidi, V. S.; Sazonov, L. I.
1974
High-frequency asymptotics of solutions of ODE in a Banach space. Zbl 1393.34064
Sazonov, Leonid I.
2017
On the existence of periodic solutions of ordinary differential equations with high-frequency summands in a Banach space. Zbl 1383.34064
Sazonov, L. I.
2017
Estimates of perturbed Oseen semigroups and their applications to the Navier-Stokes system in $$\mathbb R^n$$. Zbl 1283.35067
Sazonov, L. I.
2012
On the existence of transitions between stationary regimes in the flow problem. Zbl 1326.35251
Sazonov, L. I.
2011
The three-dimensional stationary flow problem at small Reynolds numbers. Zbl 1239.35129
Sazonov, L. I.
2011
Estimates of the perturbed Oseen semigroup in $$\mathbb{R}^n$$ and stability of the Navier-Stokes flow. Zbl 1221.35286
Sazonov, L. I.
2010
Justification of the asymptotic expansion of the solution of a two-dimensional flow problem for small Reynolds numbers. Zbl 1067.35067
Sazonov, L. I.
2003
On the stability of periodic solutions of the Navier-Stokes system in a three-dimensional exterior domain. Zbl 1067.35066
Sazonov, L. I.
2003
On bisingular operators in the space $$L_ p(\mathbb{R}^ 2)$$ with some invariance conditions. Zbl 0833.42008
Sazonov, L. I.
1994
Bisingular characteristic operators with discontinuous coefficients in the space $$L_ 2(R_ 2)$$. Zbl 0588.47037
Sazonov, L. I.
1985
A bisingular equation with translation in the space L$$_p$$. Zbl 0265.45006
Sazonov, L. I.
1973
High-frequency asymptotics of solutions of ODE in a Banach space. Zbl 1393.34064
Sazonov, Leonid I.
2017
On the existence of periodic solutions of ordinary differential equations with high-frequency summands in a Banach space. Zbl 1383.34064
Sazonov, L. I.
2017
Estimates of perturbed Oseen semigroups and their applications to the Navier-Stokes system in $$\mathbb R^n$$. Zbl 1283.35067
Sazonov, L. I.
2012
On the existence of transitions between stationary regimes in the flow problem. Zbl 1326.35251
Sazonov, L. I.
2011
The three-dimensional stationary flow problem at small Reynolds numbers. Zbl 1239.35129
Sazonov, L. I.
2011
Estimates of the perturbed Oseen semigroup in $$\mathbb{R}^n$$ and stability of the Navier-Stokes flow. Zbl 1221.35286
Sazonov, L. I.
2010
Estimates for the perturbed Oseen semigroup. Zbl 1324.35136
Sazonov, L. I.
2009
Justification of the asymptotic expansion of the solution of a two-dimensional flow problem for small Reynolds numbers. Zbl 1067.35067
Sazonov, L. I.
2003
On the stability of periodic solutions of the Navier-Stokes system in a three-dimensional exterior domain. Zbl 1067.35066
Sazonov, L. I.
2003
Asymptotic behavior of the solution to the two-dimensional stationary problem of the flow past a body far from it. Zbl 0974.76021
Sazonov, L. I.
1999
On the asymptotics of the solution to the three-dimensional problem of flow far from streamlined bodies. Zbl 0922.76102
Sazonov, L. I.
1995
Justification of the linearization method in the flow problem. Zbl 0844.76026
Sazonov, L. I.
1994
On the origination of auto-oscillations in flows. Zbl 0857.34064
Sazonov, L. I.
1994
On bisingular operators in the space $$L_ p(\mathbb{R}^ 2)$$ with some invariance conditions. Zbl 0833.42008
Sazonov, L. I.
1994
On the existence of a stationary symmetric solution of the two- dimensional fluid flow problem. Zbl 0829.35100
Sazonov, L. I.
1993
The stability of the stationary solutions of parabolic equations and of the Navier-Stokes system in the whole space. Zbl 0654.47034
Sazonov, L. I.; Yudovich, V. I.
1988
Bisingular characteristic operators with discontinuous coefficients in the space $$L_ 2(R_ 2)$$. Zbl 0588.47037
Sazonov, L. I.
1985
A priori estimates for characteristic bisingular integral operators. Zbl 0327.45006
Pilidi, V. S.; Sazonov, L. I.
1974
A bisingular equation with translation in the space L$$_p$$. Zbl 0265.45006
Sazonov, L. I.
1973
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#### Cited by 29 Authors

 7 Pileckas, Konstantin 6 Russo, Remigio 5 Korobkov, Mikhail V. 5 Sazonov, Leonid Ivanovich 3 Galdi, Giovanni Paolo 3 Wittwer, Peter 2 Deuring, Paul 2 Guillod, Julien 2 Neustupa, Jiří 2 Rodino, Luigi 2 Schneider, Guido 2 Yamazaki, Masao 1 Düll, Wolf-Patrick 1 Efimov, Sergeĭ V. 1 Fathizadeh, Farzad 1 Hillairet, Matthieu 1 Ishmeev, Marat Rashidovich 1 Kaulakytė, Kristina 1 Khalkhali, Masoud 1 Kirchhoff, Andreas 1 Levenshtam, Valeriĭ Borisovich 1 Melcher, Andreas 1 Nicola, Fabio 1 Pukhnachov, Vladislav Vasil’evich 1 Ramírez de Arellano, Enrique 1 Russo, Antonio 1 Tartaglione, Alfonsina 1 Uecker, Hannes 1 Vasilevski, Nikolai Leonidovich
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#### Cited in 22 Serials

 4 Journal of Mathematical Fluid Mechanics 3 Archive for Rational Mechanics and Analysis 3 Siberian Mathematical Journal 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Mathematical Notes 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Applied Mathematics Letters 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Nonlinear Science 1 Russian Journal of Mathematical Physics 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Communications in Mathematical Analysis 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
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#### Cited in 14 Fields

 27 Partial differential equations (35-XX) 24 Fluid mechanics (76-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of deformable solids (74-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX)