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Publications

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Submitted
Vladimirov VA.  Submitted.  Scalar transport in oscillating flows. Journal of Fluid Mechanics.
Vladimirov VA.  Submitted.  Two-timing and averaging method for oscillating flows. Studies of Applied Mathematics.
2013
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.  2013.  On the self-propulsion of an N-sphere micro-robot. Journal of Fluid Mechanics. 716(2013, R1) Abstract
2012
Vladimirov VA.  2012.  Acoustic-drift equation.
Vladimirov VA.  2012.  Magnetohydrodynamic drift equations: from Langmuir circulations to magnetohydrodynamic dynamo? Journal of Fluid Mechanics. 698:51-61. Abstract  Download: MHD-Lang-published.pdf (338.52 KB)
Vladimirov VA.  2012.  Self-propulsion of V-shape micro-robot.
Vladimirov VA.  2012.  Theory of a triangular micro-robot.
2011
Vladimirov VA.  2011.  Theory of non-degenerate oscillatory flows..
2010
Vladimirov VA.  2010.  Admixture and Drift in Oscillating Fluid Flows. arXiv: 1009, 4058v1. (physics,flu-dyn) Abstract  Download: drift-preprint.pdf (594.54 KB)
Vladimirov VA, Morgulis AB, Govorukhin VN.  2010.  Planar Inviscid Flows in a Channel of Finite Length: Washout, Trapping, and Self-oscillations of Vorticity. Journal of Fluid Mechanics. 659:420-472. Abstract  Download: JFM-channel.pdf (2.39 MB)
2009
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)
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.
Shiryaeva EV, Vladimirov VA, Zhukov MY.  2009.  Modeling of zonal electrophoresis in plane channel of complex shape. arXiv:0902.3753v1 [physics.flu-dyn] 21 Feb 2009. Abstract  Download: S-shape-electro.pdf (408.85 KB)
Vladimirov VA, Zhukov MY, Shiryaeva EV.  2009.  Modelling of Electromigration and Electroosmisis in a Planar Microchannel. Izvestiya vuzov Severo-Kavkazskii region, Series of Natural Sciences. (Special issue: Topical Problems in Mathematical Hydrodynamics):46-50.
Shiryaeva EV, Zhukov MY, Vladimirov VA.  2009.  Rotating electrohydrodynamic flow in a suspended liquid film. arXiv:0902.3733v1 [physics.flu-dyn] 21 feb 2009. Abstract  Download: film-motor.pdf (465.08 KB)
Shiryaeva EV, Vladimirov VA, Zhukov MY.  2009.  Theory of rotating electrohydrodynamic flow in a liquid film. Phys.Rev.E. 80(041603)(4 ):12-39. Abstract  Download: PhysRevE_film.pdf (850.71 KB)
2008
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)
Vladimirov VA.  2008.  Viscous Flows in a Half Space Caused by Tangential Vibrations on Its Boundary. Studies in Applied Mathematics. 121:337-367. Abstract  Download: vibro-plane-VV.pdf (222.73 KB)
2007
Vladimirov VA, Zhukov MY.  2007.  Vibrational Freedericksz transition in liquid crystals. Physical Review E. (031706) Abstract  Download: PhysRevE_76_031706.pdf (118.52 KB)
2006
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)
2005
Vladimirov VA.  2005.  On Vibrodynamics of Pendulum and Submerged Solid. Journal of Mathematical Fluid Mechanics. 7:S397-412. Abstract  Download: Vladimirov_jmfm_2005.pdf (212.96 KB)
Vladimirov VA.  2005.  Vibrodynamics of `Solid+Fluid'. Part 1. HIMSA Preprint. 12:1-65.
Burton M, Vladimirov VA, Zhukov MY.  2005.  Onset of the thermal convection in boundary layer of liquid crystal. HIMSA Preprint. 15:1-31.
2004
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

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