Edit Profile Sazonov, Leonid Ivanovich Compute Distance To: Compute 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 all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0974.76021Sazonov, L. I. 7 1999 On the existence of a stationary symmetric solution of the two- dimensional fluid flow problem. Zbl 0829.35100Sazonov, L. I. 7 1993 Justification of the linearization method in the flow problem. Zbl 0844.76026Sazonov, L. I. 6 1994 On the asymptotics of the solution to the three-dimensional problem of flow far from streamlined bodies. Zbl 0922.76102Sazonov, L. I. 3 1995 On the origination of auto-oscillations in flows. Zbl 0857.34064Sazonov, L. I. 3 1994 Estimates for the perturbed Oseen semigroup. Zbl 1324.35136Sazonov, L. I. 2 2009 The stability of the stationary solutions of parabolic equations and of the Navier-Stokes system in the whole space. Zbl 0654.47034Sazonov, L. I.; Yudovich, V. I. 2 1988 A priori estimates for characteristic bisingular integral operators. Zbl 0327.45006Pilidi, V. S.; Sazonov, L. I. 2 1974 High-frequency asymptotics of solutions of ODE in a Banach space. Zbl 1393.34064Sazonov, Leonid I. 1 2017 On the existence of periodic solutions of ordinary differential equations with high-frequency summands in a Banach space. Zbl 1383.34064Sazonov, L. I. 1 2017 Estimates of perturbed Oseen semigroups and their applications to the Navier-Stokes system in \(\mathbb R^n\). Zbl 1283.35067Sazonov, L. I. 1 2012 On the existence of transitions between stationary regimes in the flow problem. Zbl 1326.35251Sazonov, L. I. 1 2011 The three-dimensional stationary flow problem at small Reynolds numbers. Zbl 1239.35129Sazonov, L. I. 1 2011 Estimates of the perturbed Oseen semigroup in \(\mathbb{R}^n\) and stability of the Navier-Stokes flow. Zbl 1221.35286Sazonov, L. I. 1 2010 Justification of the asymptotic expansion of the solution of a two-dimensional flow problem for small Reynolds numbers. Zbl 1067.35067Sazonov, L. I. 1 2003 On the stability of periodic solutions of the Navier-Stokes system in a three-dimensional exterior domain. Zbl 1067.35066Sazonov, L. I. 1 2003 On bisingular operators in the space \(L_ p(\mathbb{R}^ 2)\) with some invariance conditions. Zbl 0833.42008Sazonov, L. I. 1 1994 Bisingular characteristic operators with discontinuous coefficients in the space \(L_ 2(R_ 2)\). Zbl 0588.47037Sazonov, L. I. 1 1985 A bisingular equation with translation in the space L\(_p\). Zbl 0265.45006Sazonov, L. I. 1 1973 High-frequency asymptotics of solutions of ODE in a Banach space. Zbl 1393.34064Sazonov, Leonid I. 1 2017 On the existence of periodic solutions of ordinary differential equations with high-frequency summands in a Banach space. Zbl 1383.34064Sazonov, L. I. 1 2017 Estimates of perturbed Oseen semigroups and their applications to the Navier-Stokes system in \(\mathbb R^n\). Zbl 1283.35067Sazonov, L. I. 1 2012 On the existence of transitions between stationary regimes in the flow problem. Zbl 1326.35251Sazonov, L. I. 1 2011 The three-dimensional stationary flow problem at small Reynolds numbers. Zbl 1239.35129Sazonov, L. I. 1 2011 Estimates of the perturbed Oseen semigroup in \(\mathbb{R}^n\) and stability of the Navier-Stokes flow. Zbl 1221.35286Sazonov, L. I. 1 2010 Estimates for the perturbed Oseen semigroup. Zbl 1324.35136Sazonov, L. I. 2 2009 Justification of the asymptotic expansion of the solution of a two-dimensional flow problem for small Reynolds numbers. Zbl 1067.35067Sazonov, L. I. 1 2003 On the stability of periodic solutions of the Navier-Stokes system in a three-dimensional exterior domain. Zbl 1067.35066Sazonov, L. I. 1 2003 Asymptotic behavior of the solution to the two-dimensional stationary problem of the flow past a body far from it. Zbl 0974.76021Sazonov, L. I. 7 1999 On the asymptotics of the solution to the three-dimensional problem of flow far from streamlined bodies. Zbl 0922.76102Sazonov, L. I. 3 1995 Justification of the linearization method in the flow problem. Zbl 0844.76026Sazonov, L. I. 6 1994 On the origination of auto-oscillations in flows. Zbl 0857.34064Sazonov, L. I. 3 1994 On bisingular operators in the space \(L_ p(\mathbb{R}^ 2)\) with some invariance conditions. Zbl 0833.42008Sazonov, L. I. 1 1994 On the existence of a stationary symmetric solution of the two- dimensional fluid flow problem. Zbl 0829.35100Sazonov, L. I. 7 1993 The stability of the stationary solutions of parabolic equations and of the Navier-Stokes system in the whole space. Zbl 0654.47034Sazonov, L. I.; Yudovich, V. I. 2 1988 Bisingular characteristic operators with discontinuous coefficients in the space \(L_ 2(R_ 2)\). Zbl 0588.47037Sazonov, L. I. 1 1985 A priori estimates for characteristic bisingular integral operators. Zbl 0327.45006Pilidi, V. S.; Sazonov, L. I. 2 1974 A bisingular equation with translation in the space L\(_p\). Zbl 0265.45006Sazonov, L. I. 1 1973 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year