Edit Profile Vladimirov, Vladimir A. Compute Distance To: Compute Author ID: vladimirov.vladimir-a Published as: Vladimirov, V. A.; Vladimirov, Vladimir; Vladimirov, Vladimir A. Documents Indexed: 67 Publications since 1980 all top 5 Co-Authors 0 single-authored 3 Morgulis, Andrey Borisovich 2 Arnol’d, Vladimir Igorevich 2 Denissenko, Petr. V. 2 Iooss, Gérard 1 Anosov, Dmitriĭ Viktorovich 1 Govorukhin, Vasily N. 1 Kozlov, Valeriĭ Vasil’evich 1 Montgomery, Michael T. 1 Sautner, Zacharias 1 Sinaĭ, Yakov Grigor’evich 1 Yudovich, Viktor Iosifovich 1 Zhukov, Mikhail Yu. all top 5 Serials 2 Journal of Fluid Mechanics 2 Journal of Mathematical Fluid Mechanics 1 Russian Mathematical Surveys 1 Siberian Mathematical Journal 1 Matematicheskoe Modelirovanie 1 Review of Finance Fields 5 Fluid mechanics (76-XX) 3 History and biography (01-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 37 Publications have been cited 106 times in 68 Documents Cited by ▼ Year ▼ On vibrodynamics of pendulum and submerged solid. Zbl 1129.76349Vladimirov, V. A. 10 2005 Viscous flows in a half space caused by tangential vibrations on its boundary. Zbl 1218.35165Vladimirov, V. A. 9 2008 Planar inviscid flows in a channel of finite length: washout, trapping and self-oscillations of vorticity. Zbl 1205.76052Govorukhin, V. N.; Morgulis, A. B.; Vladimirov, V. A. 7 2010 Inversion of Lagrange’s theorem for a rigid body with a cavity containing a viscous liquid. Zbl 0737.73065Vladimirov, V. A.; Rumyantsev, V. V. 7 1990 On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. II: Stability criteria for two-dimensional flows. Zbl 0891.76093Vladimirov, V. A.; Moffatt, H. K.; Ilin, K. I. 6 1996 On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. I: Fundamental principles. Zbl 0834.76095Vladimirov, V. A.; Moffatt, H. K. 5 1995 Dynamics of a rolling robot. Zbl 1404.70023Ilin, K. I.; Moffatt, H. K.; Vladimirov, V. A. 4 2017 Magnetohydrodynamic drift equations: from Langmuir circulations to magnetohydrodynamic dynamo? Zbl 1250.76187Vladimirov, V. A. 4 2012 On the stability of the dynamical system ”rigid body + inviscid fluid”. Zbl 0961.76031Vladimirov, V. A.; Ilin, K. I. 4 1999 Inversion of Lagrange’s theorem for a rigid body with a cavity containing an ideal liquid. Zbl 0724.73170Vladimirov, V. A.; Rumyantsev, V. V. 4 1989 On nonlinear stability of incompressible fluid flows. Zbl 0621.76058Vladimirov, V. A. 4 1986 Vortex dynamics of oscillating flows. Zbl 1325.76052Vladimirov, V. A.; Proctor, M. R. E.; Hughes, D. W. 3 2015 Compacton-like solutions of the hydrodynamic system describing relaxing media. Zbl 1173.35034Vladimirov, V. A. 3 2008 On the Arnold stability of a solid in a plane steady flow of an ideal incompressible fluid. Zbl 0910.76023Vladimirov, V. A.; Ilin, K. I. 3 1998 An example of the equivalence of density stratification and rotation. Zbl 0638.76122Vladimirov, V. A. 3 1985 Dumbbell micro-robot driven by flow oscillations. Zbl 1284.76101Vladimirov, V. A. 2 2013 Dynamics of a solid affected by a pulsating point source of fluid. Zbl 1207.76012Morgulis, Andrey; Vladimirov, Vladimir 2 2008 On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. IV: Generalized isovorticity principle for three-dimensional flows. Zbl 1003.76096Vladimirov, V. A.; Moffatt, H. K.; Ilin, K. I. 2 1999 The instability of the equilibrium of an inhomogeneous fluid in cases when the potential energy is not minimal. Zbl 0707.76047Vladimirov, V. A. 2 1988 Three-dimensional instability of an elliptic Kirchhoff vortex. Zbl 0677.76019Vladimirov, V. A.; Il’in, K. I. 2 1988 Analogues of the Lagrange theorem in the hydrodynamics of whirling and stratified liquids. Zbl 0629.76122Vladimirov, V. A. 2 1986 The variational principle and a priori estimation of stability for the rest states of continuously stratified fluid. Zbl 0651.76048Vladimirov, V. A. 2 1985 Resonance instability of rotating, weakly deformed flows. Zbl 0531.76120Vladimirov, V. A.; Tarasov, V. F. 2 1983 Solitary waves in the model of active media, taking into account effects of relaxation. Zbl 1320.35147Likus, W.; Vladimirov, V. A. 1 2015 On the self-propulsion of an \(N\)-sphere micro-robot. Zbl 1284.76435Vladimirov, V. A. 1 2013 An experimental study on hurricane mesovortices. Zbl 1025.76504Montgomery, Michael T.; Vladimirov, Vladimir A.; Denissenko, Petr. V. 1 2002 Modelling system for relaxing media. Symmetry, restrictions and attractive features of invariant solutions. Zbl 0958.76075Vladimirov, V. A. 1 2000 On Arnold’s variational principles in fluid mechanics. Zbl 0981.76071Vladimirov, V. A.; Ilin, K. I. 1 1999 On the energy instability of liquid crystals. Zbl 0923.35132Vladimirov, V. A.; Ilin, K. I. 1 1998 On the peculiarities of stochastic invariant solutions of a hydrodynamic system accounting for non-local effects. Zbl 0952.34045Sidorets, V. M.; Vladimirov, V. A. 1 1997 The conditions for the nonlinear stability of plane and helical MHD flows. Zbl 0895.76034Vladimirov, V. A.; Gubarev, Yu. G. 1 1995 Stability of a solid in a vortex flow of an ideal liquid. Zbl 1031.76529Vladimirov, V. A.; Il’in, K. I. 1 1994 Lyapunov’s direct method in problems of fluid equilibrium instability. Zbl 0749.76023Vladimirov, V. A. 1 1990 An example of inversion of the Lagrange theorem in hydrodynamics of two- layered liquids. Zbl 0707.76107Belov, S. Ya.; Vladimirov, V. A. 1 1988 Instability of steady flows with constant vorticity in vessels of elliptic cross-section. Zbl 0629.76047Vladimirov, V. A.; Vostretsov, D. G. 1 1986 On an additional invariance of equations for vector fields. Zbl 0474.35007Fushchich, V. I.; Vladimirov, V. A. 1 1981 Group properties of a system of differential equations of the second order. Zbl 0579.35040Vladimirov, V. A. 1 1980 Dynamics of a rolling robot. Zbl 1404.70023Ilin, K. I.; Moffatt, H. K.; Vladimirov, V. A. 4 2017 Vortex dynamics of oscillating flows. Zbl 1325.76052Vladimirov, V. A.; Proctor, M. R. E.; Hughes, D. W. 3 2015 Solitary waves in the model of active media, taking into account effects of relaxation. Zbl 1320.35147Likus, W.; Vladimirov, V. A. 1 2015 Dumbbell micro-robot driven by flow oscillations. Zbl 1284.76101Vladimirov, V. A. 2 2013 On the self-propulsion of an \(N\)-sphere micro-robot. Zbl 1284.76435Vladimirov, V. A. 1 2013 Magnetohydrodynamic drift equations: from Langmuir circulations to magnetohydrodynamic dynamo? Zbl 1250.76187Vladimirov, V. A. 4 2012 Planar inviscid flows in a channel of finite length: washout, trapping and self-oscillations of vorticity. Zbl 1205.76052Govorukhin, V. N.; Morgulis, A. B.; Vladimirov, V. A. 7 2010 Viscous flows in a half space caused by tangential vibrations on its boundary. Zbl 1218.35165Vladimirov, V. A. 9 2008 Compacton-like solutions of the hydrodynamic system describing relaxing media. Zbl 1173.35034Vladimirov, V. A. 3 2008 Dynamics of a solid affected by a pulsating point source of fluid. Zbl 1207.76012Morgulis, Andrey; Vladimirov, Vladimir 2 2008 On vibrodynamics of pendulum and submerged solid. Zbl 1129.76349Vladimirov, V. A. 10 2005 An experimental study on hurricane mesovortices. Zbl 1025.76504Montgomery, Michael T.; Vladimirov, Vladimir A.; Denissenko, Petr. V. 1 2002 Modelling system for relaxing media. Symmetry, restrictions and attractive features of invariant solutions. Zbl 0958.76075Vladimirov, V. A. 1 2000 On the stability of the dynamical system ”rigid body + inviscid fluid”. Zbl 0961.76031Vladimirov, V. A.; Ilin, K. I. 4 1999 On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. IV: Generalized isovorticity principle for three-dimensional flows. Zbl 1003.76096Vladimirov, V. A.; Moffatt, H. K.; Ilin, K. I. 2 1999 On Arnold’s variational principles in fluid mechanics. Zbl 0981.76071Vladimirov, V. A.; Ilin, K. I. 1 1999 On the Arnold stability of a solid in a plane steady flow of an ideal incompressible fluid. Zbl 0910.76023Vladimirov, V. A.; Ilin, K. I. 3 1998 On the energy instability of liquid crystals. Zbl 0923.35132Vladimirov, V. A.; Ilin, K. I. 1 1998 On the peculiarities of stochastic invariant solutions of a hydrodynamic system accounting for non-local effects. Zbl 0952.34045Sidorets, V. M.; Vladimirov, V. A. 1 1997 On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. II: Stability criteria for two-dimensional flows. Zbl 0891.76093Vladimirov, V. A.; Moffatt, H. K.; Ilin, K. I. 6 1996 On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. I: Fundamental principles. Zbl 0834.76095Vladimirov, V. A.; Moffatt, H. K. 5 1995 The conditions for the nonlinear stability of plane and helical MHD flows. Zbl 0895.76034Vladimirov, V. A.; Gubarev, Yu. G. 1 1995 Stability of a solid in a vortex flow of an ideal liquid. Zbl 1031.76529Vladimirov, V. A.; Il’in, K. I. 1 1994 Inversion of Lagrange’s theorem for a rigid body with a cavity containing a viscous liquid. Zbl 0737.73065Vladimirov, V. A.; Rumyantsev, V. V. 7 1990 Lyapunov’s direct method in problems of fluid equilibrium instability. Zbl 0749.76023Vladimirov, V. A. 1 1990 Inversion of Lagrange’s theorem for a rigid body with a cavity containing an ideal liquid. Zbl 0724.73170Vladimirov, V. A.; Rumyantsev, V. V. 4 1989 The instability of the equilibrium of an inhomogeneous fluid in cases when the potential energy is not minimal. Zbl 0707.76047Vladimirov, V. A. 2 1988 Three-dimensional instability of an elliptic Kirchhoff vortex. Zbl 0677.76019Vladimirov, V. A.; Il’in, K. I. 2 1988 An example of inversion of the Lagrange theorem in hydrodynamics of two- layered liquids. Zbl 0707.76107Belov, S. Ya.; Vladimirov, V. A. 1 1988 On nonlinear stability of incompressible fluid flows. Zbl 0621.76058Vladimirov, V. A. 4 1986 Analogues of the Lagrange theorem in the hydrodynamics of whirling and stratified liquids. Zbl 0629.76122Vladimirov, V. A. 2 1986 Instability of steady flows with constant vorticity in vessels of elliptic cross-section. Zbl 0629.76047Vladimirov, V. A.; Vostretsov, D. G. 1 1986 An example of the equivalence of density stratification and rotation. Zbl 0638.76122Vladimirov, V. A. 3 1985 The variational principle and a priori estimation of stability for the rest states of continuously stratified fluid. Zbl 0651.76048Vladimirov, V. A. 2 1985 Resonance instability of rotating, weakly deformed flows. Zbl 0531.76120Vladimirov, V. A.; Tarasov, V. F. 2 1983 On an additional invariance of equations for vector fields. Zbl 0474.35007Fushchich, V. I.; Vladimirov, V. A. 1 1981 Group properties of a system of differential equations of the second order. Zbl 0579.35040Vladimirov, V. A. 1 1980 all cited Publications top 5 cited Publications all top 5 Cited by 80 Authors 14 Vladimirov, Vladimir A. 8 Il’in, Konstantin I. 7 Morgulis, Andrey Borisovich 7 Vladimirov, Vsevolod A. 4 Govorukhin, Vasily N. 4 Gubarev, Yu. G. 3 Moffatt, Henry Keith 2 Furta, Stanislav D. 2 Il’in, Konstantin Ivanovich 2 Maczka, Czeslaw 2 Mamaev, Ivan Sergeevich 2 Yang, Cheng 1 Åkerstedt, Hans O. 1 Askari, Hesam 1 Bizyaev, Ivan Alekseevich 1 Blekhman, Ilya Izrailevich 1 Borisov, Alekseĭ Vladimirovich 1 Brenier, Yann 1 Davidson, Peter Alan 1 Dolbeault, Jean 1 Dosaev, Marat Z. 1 Eckert, Sven 1 Eshaghi Gordji, Madjid 1 Fernández, Javier H. 1 Friedlander, Susan Jean 1 Friedmann, Tamar 1 Gawlik, Aleksandra 1 Gerbeth, Gunter 1 Glass, Olivier 1 Grants, Ilmārs 1 Hagedorn, Peter 1 Hoffmann, Norbert 1 Hughes, David W. 1 Jansson, Ida 1 Kats, A. V. 1 Kelley, Douglas H. 1 Khesin, Boris A. 1 Khodaei, Hamid 1 Khor’kova, Nina Grigor’evna 1 Kilin, Aleksandr Aleksandrovich 1 Kim, Gwang Hui 1 Klenov, Anatoliĭ Igorevich 1 Knobloch, Edgar 1 Li, Jibin 1 Lyashenko, Andrei A. 1 Lynden-Bell, Donald 1 Mahalov, Alex 1 Mahdi al Dhayeh, Adam 1 Marsden, Jerrold Eldon 1 Mawhin, Jean L. 1 Oakes, Patrick W. 1 Ohsawa, Tomoki 1 Perales, José Manuel 1 Petrov, Alexander G. 1 Proctor, Michael Richard Edward 1 Putkaradze, Vakhtang 1 Quillen, Alice C. 1 Rogers, Stuart M. 1 Rumyantsev, Valentin Vital’evich 1 Rusak, Zvi 1 Rusu, E. D. 1 Sadiq, Muhammad Adil 1 Shi, Jianping 1 Skurativskyi, Sergii 1 Slobozhanin, Lev A. 1 Smolarkiewicz, Piotr K. 1 Sorokin, Vladislav S. 1 Sueur, Franck 1 Thomsen, Jon Juel 1 Vetchanin, Evgeniĭ Vladimirovich 1 Vostretsov, D. G. 1 Waite, Michael L. 1 Wang, Shixiao 1 Withalm, M. 1 Yahalom, Asher 1 Yau, Pun Wong 1 Yin, Jianli 1 Yudin, M. A. 1 Zhang, Chenyang 1 Zhdanov, I. all top 5 Cited in 34 Serials 11 Journal of Fluid Mechanics 6 Fluid Dynamics 6 European Journal of Mechanics. B. Fluids 5 Journal of Applied Mathematics and Mechanics 5 Regular and Chaotic Dynamics 3 Physica D 2 Mathematical Notes 2 Studies in Applied Mathematics 2 Journal of Nonlinear Science 2 Abstract and Applied Analysis 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Reports on Mathematical Physics 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Meccanica 1 Proceedings of the American Mathematical Society 1 Siberian Mathematical Journal 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 European Journal of Applied Mathematics 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Physics of Fluids 1 Nonlinear Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Modelling and Control 1 Journal of Applied Mathematics 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Nonlinear Analysis. Theory, Methods & Applications 1 Arnold Mathematical Journal all top 5 Cited in 15 Fields 49 Fluid mechanics (76-XX) 13 Partial differential equations (35-XX) 13 Mechanics of particles and systems (70-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Mechanics of deformable solids (74-XX) 4 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Systems theory; control (93-XX) Citations by Year