# zbMATH — the first resource for mathematics

Compute Distance To:
 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)

#### 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 1129.76349
2005
Viscous flows in a half space caused by tangential vibrations on its boundary. Zbl 1218.35165
2008
Planar inviscid flows in a channel of finite length: washout, trapping and self-oscillations of vorticity. Zbl 1205.76052
Govorukhin, V. N.; Morgulis, A. B.; Vladimirov, V. A.
2010
Inversion of Lagrange’s theorem for a rigid body with a cavity containing a viscous liquid. Zbl 0737.73065
Vladimirov, V. A.; Rumyantsev, V. V.
1990
On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. II: Stability criteria for two-dimensional flows. Zbl 0891.76093
Vladimirov, V. A.; Moffatt, H. K.; Ilin, K. I.
1996
On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. I: Fundamental principles. Zbl 0834.76095
Vladimirov, V. A.; Moffatt, H. K.
1995
Dynamics of a rolling robot. Zbl 1404.70023
Ilin, K. I.; Moffatt, H. K.; Vladimirov, V. A.
2017
Magnetohydrodynamic drift equations: from Langmuir circulations to magnetohydrodynamic dynamo? Zbl 1250.76187
2012
On the stability of the dynamical system ”rigid body + inviscid fluid”. Zbl 0961.76031
Vladimirov, V. A.; Ilin, K. I.
1999
Inversion of Lagrange’s theorem for a rigid body with a cavity containing an ideal liquid. Zbl 0724.73170
Vladimirov, V. A.; Rumyantsev, V. V.
1989
On nonlinear stability of incompressible fluid flows. Zbl 0621.76058
1986
Vortex dynamics of oscillating flows. Zbl 1325.76052
Vladimirov, V. A.; Proctor, M. R. E.; Hughes, D. W.
2015
Compacton-like solutions of the hydrodynamic system describing relaxing media. Zbl 1173.35034
2008
On the Arnold stability of a solid in a plane steady flow of an ideal incompressible fluid. Zbl 0910.76023
Vladimirov, V. A.; Ilin, K. I.
1998
An example of the equivalence of density stratification and rotation. Zbl 0638.76122
1985
Dumbbell micro-robot driven by flow oscillations. Zbl 1284.76101
2013
Dynamics of a solid affected by a pulsating point source of fluid. Zbl 1207.76012
2008
On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. IV: Generalized isovorticity principle for three-dimensional flows. Zbl 1003.76096
Vladimirov, V. A.; Moffatt, H. K.; Ilin, K. I.
1999
The instability of the equilibrium of an inhomogeneous fluid in cases when the potential energy is not minimal. Zbl 0707.76047
1988
Three-dimensional instability of an elliptic Kirchhoff vortex. Zbl 0677.76019
Vladimirov, V. A.; Il’in, K. I.
1988
Analogues of the Lagrange theorem in the hydrodynamics of whirling and stratified liquids. Zbl 0629.76122
1986
The variational principle and a priori estimation of stability for the rest states of continuously stratified fluid. Zbl 0651.76048
1985
Resonance instability of rotating, weakly deformed flows. Zbl 0531.76120
Vladimirov, V. A.; Tarasov, V. F.
1983
Solitary waves in the model of active media, taking into account effects of relaxation. Zbl 1320.35147
2015
On the self-propulsion of an $$N$$-sphere micro-robot. Zbl 1284.76435
2013
An experimental study on hurricane mesovortices. Zbl 1025.76504
2002
Modelling system for relaxing media. Symmetry, restrictions and attractive features of invariant solutions. Zbl 0958.76075
2000
On Arnold’s variational principles in fluid mechanics. Zbl 0981.76071
Vladimirov, V. A.; Ilin, K. I.
1999
On the energy instability of liquid crystals. Zbl 0923.35132
Vladimirov, V. A.; Ilin, K. I.
1998
On the peculiarities of stochastic invariant solutions of a hydrodynamic system accounting for non-local effects. Zbl 0952.34045
Sidorets, V. M.; Vladimirov, V. A.
1997
The conditions for the nonlinear stability of plane and helical MHD flows. Zbl 0895.76034
Vladimirov, V. A.; Gubarev, Yu. G.
1995
Stability of a solid in a vortex flow of an ideal liquid. Zbl 1031.76529
Vladimirov, V. A.; Il’in, K. I.
1994
Lyapunov’s direct method in problems of fluid equilibrium instability. Zbl 0749.76023
1990
An example of inversion of the Lagrange theorem in hydrodynamics of two- layered liquids. Zbl 0707.76107
Belov, S. Ya.; Vladimirov, V. A.
1988
Instability of steady flows with constant vorticity in vessels of elliptic cross-section. Zbl 0629.76047
Vladimirov, V. A.; Vostretsov, D. G.
1986
On an additional invariance of equations for vector fields. Zbl 0474.35007
Fushchich, V. I.; Vladimirov, V. A.
1981
Group properties of a system of differential equations of the second order. Zbl 0579.35040
1980
Dynamics of a rolling robot. Zbl 1404.70023
Ilin, K. I.; Moffatt, H. K.; Vladimirov, V. A.
2017
Vortex dynamics of oscillating flows. Zbl 1325.76052
Vladimirov, V. A.; Proctor, M. R. E.; Hughes, D. W.
2015
Solitary waves in the model of active media, taking into account effects of relaxation. Zbl 1320.35147
2015
Dumbbell micro-robot driven by flow oscillations. Zbl 1284.76101
2013
On the self-propulsion of an $$N$$-sphere micro-robot. Zbl 1284.76435
2013
Magnetohydrodynamic drift equations: from Langmuir circulations to magnetohydrodynamic dynamo? Zbl 1250.76187
2012
Planar inviscid flows in a channel of finite length: washout, trapping and self-oscillations of vorticity. Zbl 1205.76052
Govorukhin, V. N.; Morgulis, A. B.; Vladimirov, V. A.
2010
Viscous flows in a half space caused by tangential vibrations on its boundary. Zbl 1218.35165
2008
Compacton-like solutions of the hydrodynamic system describing relaxing media. Zbl 1173.35034
2008
Dynamics of a solid affected by a pulsating point source of fluid. Zbl 1207.76012
2008
On vibrodynamics of pendulum and submerged solid. Zbl 1129.76349
2005
An experimental study on hurricane mesovortices. Zbl 1025.76504
2002
Modelling system for relaxing media. Symmetry, restrictions and attractive features of invariant solutions. Zbl 0958.76075
2000
On the stability of the dynamical system ”rigid body + inviscid fluid”. Zbl 0961.76031
Vladimirov, V. A.; Ilin, K. I.
1999
On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. IV: Generalized isovorticity principle for three-dimensional flows. Zbl 1003.76096
Vladimirov, V. A.; Moffatt, H. K.; Ilin, K. I.
1999
On Arnold’s variational principles in fluid mechanics. Zbl 0981.76071
Vladimirov, V. A.; Ilin, K. I.
1999
On the Arnold stability of a solid in a plane steady flow of an ideal incompressible fluid. Zbl 0910.76023
Vladimirov, V. A.; Ilin, K. I.
1998
On the energy instability of liquid crystals. Zbl 0923.35132
Vladimirov, V. A.; Ilin, K. I.
1998
On the peculiarities of stochastic invariant solutions of a hydrodynamic system accounting for non-local effects. Zbl 0952.34045
Sidorets, V. M.; Vladimirov, V. A.
1997
On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. II: Stability criteria for two-dimensional flows. Zbl 0891.76093
Vladimirov, V. A.; Moffatt, H. K.; Ilin, K. I.
1996
On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. I: Fundamental principles. Zbl 0834.76095
Vladimirov, V. A.; Moffatt, H. K.
1995
The conditions for the nonlinear stability of plane and helical MHD flows. Zbl 0895.76034
Vladimirov, V. A.; Gubarev, Yu. G.
1995
Stability of a solid in a vortex flow of an ideal liquid. Zbl 1031.76529
Vladimirov, V. A.; Il’in, K. I.
1994
Inversion of Lagrange’s theorem for a rigid body with a cavity containing a viscous liquid. Zbl 0737.73065
Vladimirov, V. A.; Rumyantsev, V. V.
1990
Lyapunov’s direct method in problems of fluid equilibrium instability. Zbl 0749.76023
1990
Inversion of Lagrange’s theorem for a rigid body with a cavity containing an ideal liquid. Zbl 0724.73170
Vladimirov, V. A.; Rumyantsev, V. V.
1989
The instability of the equilibrium of an inhomogeneous fluid in cases when the potential energy is not minimal. Zbl 0707.76047
1988
Three-dimensional instability of an elliptic Kirchhoff vortex. Zbl 0677.76019
Vladimirov, V. A.; Il’in, K. I.
1988
An example of inversion of the Lagrange theorem in hydrodynamics of two- layered liquids. Zbl 0707.76107
Belov, S. Ya.; Vladimirov, V. A.
1988
On nonlinear stability of incompressible fluid flows. Zbl 0621.76058
1986
Analogues of the Lagrange theorem in the hydrodynamics of whirling and stratified liquids. Zbl 0629.76122
1986
Instability of steady flows with constant vorticity in vessels of elliptic cross-section. Zbl 0629.76047
Vladimirov, V. A.; Vostretsov, D. G.
1986
An example of the equivalence of density stratification and rotation. Zbl 0638.76122
1985
The variational principle and a priori estimation of stability for the rest states of continuously stratified fluid. Zbl 0651.76048
1985
Resonance instability of rotating, weakly deformed flows. Zbl 0531.76120
Vladimirov, V. A.; Tarasov, V. F.
1983
On an additional invariance of equations for vector fields. Zbl 0474.35007
Fushchich, V. I.; Vladimirov, V. A.
1981
Group properties of a system of differential equations of the second order. Zbl 0579.35040
1980
all top 5