Vladimir Vladimirov

Professor.

  • 525 Citations
  • 12 h-Index
1977 …2017

Research output per year

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Research Output

  • 525 Citations
  • 12 h-Index
  • 67 Article
  • 2 Conference contribution
  • 1 Editorial
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Article
2017

Dynamics of a rolling robot

Ilin, K. I., Moffatt, H. K. & Vladimirov, V. A., Dec 5 2017, In : Proceedings of the National Academy of Sciences of the United States of America. 114, 49, p. 12858-12863 6 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

Two-Timing Hypothesis, Distinguished Limits, Drifts, and Pseudo-Diffusion for Oscillating Flows

Vladimirov, V. A., Apr 1 2017, In : Studies in Applied Mathematics. 138, 3, p. 269-293 25 p.

Research output: Contribution to journalArticle

2015

A stepping microrobot controlled by flow oscillations

Ishikawa, T. & Vladimirov, V. A., Aug 1 2015, In : Journal of Fluids Engineering, Transactions of the ASME. 137, 8, 084501.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Vortex Dynamics of Oscillating Flows

Vladimirov, V. A., Proctor, M. R. E. & Hughes, D. W., Jul 1 2015, In : Arnold Mathematical Journal. 1, 2, p. 113-126 14 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
2014

Relative equilibria in the Bjerknes problem

Vladimirov, V. A. & Morgulis, A. B., Jan 2014, In : Siberian Mathematical Journal. 55, 1, p. 35-48 14 p.

Research output: Contribution to journalArticle

2013

An asymptotic model in acoustics: Acoustic drift equations

Vladimirov, V. A. & Ilin, K., Nov 2013, In : Journal of the Acoustical Society of America. 134, 5, p. 3419-3424 6 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Dumbbell micro-robot driven by flow oscillations

Vladimirov, V. A., Feb 1 2013, In : Journal of Fluid Mechanics. 717, p. R81-R811

Research output: Contribution to journalArticle

7 Citations (Scopus)

On the self-propulsion of an N-sphere micro-robot

Vladimirov, V. A., Feb 2013, In : Journal of Fluid Mechanics. 716

Research output: Contribution to journalArticle

9 Citations (Scopus)
2012

Magnetohydrodynamic drift equations: From Langmuir circulations to magnetohydrodynamic dynamo?

Vladimirov, V. A., May 10 2012, In : Journal of Fluid Mechanics. 698, p. 51-61 11 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)
2010

Planar inviscid flows in a channel of finite length: Washout, trapping and self-oscillations of vorticity

Govorukhin, V. N., Morgulis, A. B. & Vladimirov, V. A., Sep 2010, In : Journal of Fluid Mechanics. 659, p. 420-472 53 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)
2009

Theory of rotating electrohydrodynamic flows in a liquid film

Shiryaeva, E. V., Vladimirov, V. A. & Zhukov, M. Y., Oct 16 2009, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 80, 4, 041603.

Research output: Contribution to journalArticle

16 Citations (Scopus)
2008

Viscous flows in a half space caused by tangential vibrations on its boundary

Vladimirov, V. A., Nov 2008, In : Studies in Applied Mathematics. 121, 4, p. 337-367 31 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)
2007

Vibrational Fréedericksz transition in liquid crystals

Vladimirov, V. A. & Zhukov, M. Y., Sep 27 2007, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 76, 3, 031706.

Research output: Contribution to journalArticle

2 Citations (Scopus)
2006
2005

On vibrodynamics of pendulum and submerged solid

Vladimirov, V. A., Aug 2005, In : Journal of Mathematical Fluid Mechanics. 7, 3 SUPPL.

Research output: Contribution to journalArticle

15 Citations (Scopus)
2004

Energy principle for magnetohydrodynamic flows and Bogoyavlenskij's transformation

Ilin, K. I. & Vladimirov, V. A., Jul 2004, In : Physics of Plasmas. 11, 7, p. 3586-3594 9 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)

Measurement of cell velocity distributions in populations of motile algae

Vladimirov, V. A., Wu, M. S. C., Pedley, T. J., Denissenko, P. V. & Zakhidova, S. G., Mar 2004, In : Journal of Experimental Biology. 207, 7, p. 1203-1216 14 p.

Research output: Contribution to journalArticle

36 Citations (Scopus)
2003

On the stability of a rigid body in a magnetostatic equilibrium

Vladimirov, V. A., Moffatt, H. K., Davidson, P. A. & Ilin, K. I., Sep 2003, In : European Journal of Mechanics, B/Fluids. 22, 5, p. 511-523 13 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

The stability of steady magnetohydrodynamic flows with current-vortex sheets

Ilin, K. I., Trakhinin, Y. L. & Vladimirov, V. A., Jul 2003, In : Physics of Plasmas. 10, 7, p. 2649-2658 10 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)
2002

An experimental study on hurricane mesovortices

Montgomery, M. T., Vladimirov, V. A. & Denissenko, P. V., Nov 25 2002, In : Journal of Fluid Mechanics. 471, p. 1-32 32 p.

Research output: Contribution to journalArticle

73 Citations (Scopus)
2000

Algal motility measured by a laser-based tracking method

Vladimirov, V. A., Denissenko, P. V., Pedley, T. J., Wu, M. & Moskalev, I. S., 2000, In : Marine and Freshwater Research. 51, 6, p. 589-600 12 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)
1999

Energy-Casimir and Energy-Lagrange Methods in the Study of Nonlinear Symmetric Stability Problems

Mu, M., Vladimirov, V. & Wu, Y. H., Feb 1 1999, In : Journal of the Atmospheric Sciences. 56, 3, p. 400-411 12 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)
13 Citations (Scopus)

On nonlinear stability of baroclinic fronts

Vladimirov, V. A., Mu, M., Wu, Y. H. & Ilin, K. I., 1999, In : Geophysical and Astrophysical Fluid Dynamics. 91, 1-2, p. 65-84 20 p.

Research output: Contribution to journalArticle

On the stability of the dynamical system 'rigid body + inviscid fluid'

Vladimirov, V. A. & Ilin, K. I., May 10 1999, In : Journal of Fluid Mechanics. 386, p. 43-75 33 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)
1998

Note on the nonlinear stability of stratified fluid equilibria

Vladimirov, V. A. & Ilin, K. I., 1998, In : Physica D: Nonlinear Phenomena. 118, 1-2, p. 123-133 11 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

On the arnold stability of a solid in a plane steady flow of an ideal incompressible fluid

Vladimirov, V. A. & Ilin, K. I., 1998, In : Theoretical and Computational Fluid Dynamics. 10, 1-4, p. 425-437 13 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

On the energy instability of liquid crystals

Vladimirov, V. A. & Ilin, K. I., Feb 1998, In : European Journal of Applied Mathematics. 9, 1, p. 23-36 14 p.

Research output: Contribution to journalArticle

The three-dimensional stability of steady magnetohydrodynamic flows of an ideal fluid

Vladimirov, V. A. & Ilin, K. I., 1998, In : Physics of Plasmas. 5, 12, p. 4199-4204 6 p.

Research output: Contribution to journalArticle

18 Citations (Scopus)
1997

Direct Lyapunov method in nonlinear stability of complex flows

Vladimirov, V. A. & Moffatt, H. K., 1997, In : Nonlinear Analysis, Theory, Methods and Applications. 30, 1, p. 563-566 4 p.

Research output: Contribution to journalArticle

18 Citations (Scopus)
1996
24 Citations (Scopus)
1995

Conditions of nonlinear stability of plane and helical magnetohydrodynamic flows

Vladimirov, V. A. & Gubarev, Y. G., May 1995, In : Prikladnaya Matematika i Mekhanika. 59, 3, p. 442-450 9 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
46 Citations (Scopus)

The conditions for the non-linear stability of plane and helical mhd flows

Vladimirov, V. A. & Gubarev, Y. G., 1995, In : Journal of Applied Mathematics and Mechanics. 59, 3, p. 415-423 9 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
1994

Stability of a solid in a vortex flow of ideal liquid

Vladimirov, V. A. & Il'in, K. I., Jan 1994, In : Journal of Applied Mechanics and Technical Physics. 35, 1, p. 84-92 9 p.

Research output: Contribution to journalArticle

1993

Application of the direct Liapunov method to the problem of symmetric stability in the atmosphere

Cho, H. R., Shepherd, T. G. & Vladimirov, V. A., 1993, In : Journal of the Atmospheric Sciences. 50, 6, p. 822-836 15 p.

Research output: Contribution to journalArticle

31 Citations (Scopus)
1991

Slow motions of a solid in a continuously stratified fluid

Vladimirov, V. A. & Ii'in, K. I., Mar 1991, In : Journal of Applied Mechanics and Technical Physics. 32, 2, p. 194-200 7 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)
1990

Inversion of lagrange's theorem for a rigid body with a cavity containing a viscous liquid

Vladimirov, V. A. & Rumyantsev, V. V., 1990, In : Journal of Applied Mathematics and Mechanics. 54, 2, p. 154-163 10 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)
1989

Instability of the equilibrium of fluids

Vladimirov, V. A., Mar 1989, In : Journal of Applied Mechanics and Technical Physics. 30, 2, p. 269-276 8 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Inversion of lagrange's theorem for a rigid body with a cavity containing an ideal liquid

Vladimirov, V. A. & Rumyantsev, V. V., 1989, In : Journal of Applied Mathematics and Mechanics. 53, 4, p. 474-477 4 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
1988

Stability of flows with vortex discontinuity

Vladimirov, V. A., Jan 1988, In : Journal of Applied Mechanics and Technical Physics. 29, 1, p. 77-83 7 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
3 Citations (Scopus)

Three-dimensional instability of an elliptic Kirchhoff vortex

Vladimirov, V. A. & Il'in, K. I., May 1988, In : Fluid Dynamics. 23, 3, p. 356-360 5 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
1987
3 Citations (Scopus)

Example of parametric resonance in a rotating flow

Vladimirov, V. A., Mar 1987, In : Fluid Dynamics. 22, 2, p. 313-315 3 p.

Research output: Contribution to journalArticle

Experimental investigation of nonaxisymmetric inertia waves in a rotating fluid

Vladimirov, V. A., Makarenko, V. G. & Tarasov, V. F., Jan 1987, In : Fluid Dynamics. 22, 1, p. 151-156 6 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Integrals of two-dimensional motions of a perfect incompressible fluid of nonuniform density

Vladimirov, V. A., May 1987, In : Fluid Dynamics. 22, 3, p. 340-343 4 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

On the analogues and generalizations of squire's theorem

Belov, S. Y. & Vladimirov, V. A., 1987, In : Journal of Applied Mathematics and Mechanics. 51, 3, p. 314-319 6 p.

Research output: Contribution to journalArticle