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Publications

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A
Vladimirov VA.  2012.  Acoustic-drift equation.
Vladimirov VA.  2010.  Admixture and Drift in Oscillating Fluid Flows. arXiv: 1009, 4058v1. (physics,flu-dyn) Abstract  Download: drift-preprint.pdf (594.54 KB)
Denissenko PV, Pedley TJ, Vladimirov VA, Wu M.  2000.  Algal Motility Measured by a Laser Based Tracking Method. J. Marine & Freshwater Research. 51:589-595.
Vladimirov VA.  1985.  Analogy between density stratification and rotation effects. J. Appl. Mech. Tech. Phys. 26(3):353-362.
Vladimirov VA.  1987.  Analogy between the effects of density stratification and rotation and its applications in the stability theory. Research Methods on Hydrophysics. :76-90.
Vladimirov VA, Zhukov MY.  2004.  Analytical Solution for Thermal Convection in a Layer of Liquid Crystal with Free Surface. Journ.Mol.Cryst. Liq. Cryst.. 413:279-290. Abstract
Sakharova LV, Vladimirov VA, Zhukov MY.  2009.  Anomalous pH-gradient in Ampholyte Solution. arXiv:0902.3758v1 [physics.chem-ph] 21 Feb 2009. Abstract  Download: Ampholite.pdf (151.18 KB)
Vladimirov VA.  1987.  Application of conservation laws for obtaining conditions of stability for steady flows of an ideal fluid. J. Appl. Mech. Tech. Phys. 28(3):351-358.
Cho HR, Shepherd TG, Vladimirov VA.  1993.  Application of the Direct Lyapunov method to the problem of symmetric stability in the atmosphere. J. Atmos. Sci. 50(6):822-845.
Mu-Mu, Vladimirov VA, Wu-Yong-hui.  1999.  Applications of Energy-Casimir and Energy-Lagrange Methods to the Nonlinear Symmetric Stability Problems. Journal of Atmospheric Sciences. 56(3)
Denissenko PV, Vladimirov VA, Yudovich VI, Zhukov MY.  2001.  Asymmetric Flows Induced by a Rotating Body in a Thin Layer. HIMSA Preprint. 3:1-45.
Ilin KI, Vladimirov VA.  2006.  Asymptotic model for free surface flow of an electrically conducting fluid in a high-frequency magnetic field. Journal of Computational and Applied Mathematics. 190:520-531. Abstract  Download: Iline_Vlad.JCAM_2006.pdf (194.57 KB)
C
Vladimirov VA.  1986.  Conditions for nonlinear stability of flows of an ideal incompressible liquid. J. Appl. Mech. Tech. Phys. 27(3):382-389.
Vladimirov VA, Gubarev YG.  1995.  Conditions for the Nonlinear Stability of Plane and Helical MHD Flows (Attention! V.A.Vladimirov has officially denied the authorship). J.Appl.Math. Mech. 59(3):415-423.
D
Vladimirov VA, Moffatt HK.  1997.  Direct Liapunov Method in Nonlinear Stability of Complex Flows. Nonlinear Anal., Theory Methods Appl. 30(1):563-566.
Vladimirov VA.  2013.  Dumbbell micro-robot driven by flow oscillations. Journal of Fluid Mechanics. 717(Rapid publications, 2013):1-11. Abstract  Download: Acoustic-Robot-4.pdf (200.36 KB)
Vladimirov VA, Morgulis AB.  2008.  Dynamics of a Solid Affected by a Pulsating Point Source of Fluid. Regular and Chaotic Dynamics. Hamiltonian Dynamics, Vortex Structures, Turbulence.:135-150. Abstract  Download: VladimirovIUTAM-head.pdf (233.56 KB)
Govorukhin VN, Morgulis AB, Vladimirov VA.  2009.  Dynamics of Inviscid Incompressible Flows Subject to the Yudovich Boundary Conditions. Izvestiya VUZov Severo-Kavkazskii region, Series of Natural Sciences. (Special issue: Topical Problems in Mathematical Hydrodynamics):51-72.
E
Vladimirov VA, Tarasov VF.  1980.  Elasticity properties of spiral flow. Soviet Physics Doklady. 25(7):526-529.
Ilin KI, Vladimirov VA.  2004.  Energy principle for magnetohydrodynamic flows and Bogoyavlenskij's transformation. Physics of Plasmas. 11:3586-3594. Abstract
Vladimirov VA, Belov SY.  1988.  An Example of Inversion of the Lagrange Theorem in Hydrodynamics of Two-Layered Liquid. Din. Splosh. Sredy . 84:21-27.
Vladimirov VA.  1987.  Example of parametric resonance in rotating flows. Fluid Dynamics. 22(2):313-315.
Vladimirov VA.  1985.  An example of the equivalence between density stratification and rotation. Sov. Phys. Dokl. 30(9):748-750.
Vladimirov VA, Belov SY.  1993.  The Examples of Inversion of the Lagrange Theorem in Hydrodynamics. GAKUTO Int. Ser., Math. Sci. Appl. 2:611-622.
Vladimirov VA, Belov SY.  1995.  Examples of Nonlinear Instability in Hydrodynamics. RIMS Kokyuroku. 914:69-79.

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