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Publications

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Davidson PA, Ilin KI, Moffatt HK, Vladimirov VA.  2003.  On the stability of a rigid body in a magnetostatic equilibrium. European Journal of Mechanics. B. Fluids. 22:511--523. Abstract  Download: Vlad-Mof-2003.pdf (270.47 KB)
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Govorukhin VN, Ilin KI.  2009.  Numerical study of an inviscid incompressible flow through a channel of finite length. Internat. J. Numer. Methods Fluids . 60(12):1315--1333.
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Ilin KI, Sadiq MA.  2010.  Steady viscous flows in an annulus between two cylinders produced by vibrations of the inner cylinder.
Ilin KI, Trakhinin Y.  2009.  On stability of Alfvén discontinuities. Math. Methods Appl. Sci.. 32 (3):307--329.
Ilin KI, Trakhinin YL.  2006.  On the stability of Alfven discontinuity. Physics of Plasmas. 13:102101,8pp. Abstract
Ilin KI, Vladimirov VA.  2003.  Virial functionals in fluid dynamics. Moscow Mathematical Journal. 3:691-709. Abstract
Ilin KI, Morgulis A.  2011.  Steady streaming between two vibrating planes at high Reynolds numbers.
Ilin KI.  2008.  Viscous boundary layers in flows through a domain with permeable boundary. European Journal of Mechanics - B/Fluids. 27(5):514--538.
Ilin KI, Trakhinin YL, Vladimirov VA.  2003.  The stability of steady magnetohydrodynamic flows with current-vortex sheets. Physics of Plasmas. 10:2649--2658. Abstract
Ilin KI.  2011.  Steady streaming in a channel with permeable walls.
Ilin KI, Vladimirov VA.  2004.  Energy principle for magnetohydrodynamic flows and Bogoyavlenskij's transformation. Physics of Plasmas. 11:3586-3594. Abstract
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)
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Vladimirov VA, Ilin KI.  1998.  Note on the three-dimensional stability of a steady magnetohydrodynamic flow of an ideal fluid. Physics of Plasmas (Physics of Fluids, B). 5(12):4199-4204.
Vladimirov VA, Ilin KI.  1988.  Three-Dimensional Instability of an Elliptic Kirchhoff Vortex. Fluid Dyn. 23(3):356-360.
Vladimirov VA, Ilin KI.  1998.  On the Arnold Stability of a Solid in a Plane Steady Flow of an Ideal Incompressible Fluid. Theor.Comput.Fluid Dyn. 10(1-4):425-437.
Vladimirov VA, Ilin KI.  1999.  On the stability of a Dynamical System `Rigid Body+ Inviscid Fluid'. Variational Principles. J. Fluid Mech. 386:43-75.
Vladimirov VA, Ilin KI.  1998.  Note on the nonlinear stability of stratified fluid equilibria. PhysicaD. 118:123-133. Abstract  Download: Vlad-Ilin-1998.pdf (481.05 KB)
Vladimirov VA, Moffatt HK, Ilin KI.  1997.  On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part III. Stability criteria, for axisymmetric flows. J. Plasma Physics. 57(1):89-120.
Vladimirov VA, Ilin KI.  1999.  On Arnold’s Variational Principles in Fluid Mechanics. Fields Institute Commun. 24:471-495.
Vladimirov VA, Moffatt HK, Ilin KI.  1996.  On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part II. Stability criteria, for two-dimensional flow. J. Fluid Mech. 329:187-205.
Vladimirov VA, Ilin KI.  1997.  On the Stability of a Rigid Body in an Inviscid Steady Rotational Flow. Bull. Hong Kong Math, Soc. 1(1):103-131.
Vladimirov VA, Ilin KI.  1998.  Generalized Izovorticity Principle for Ideal Magnetohydrodynamics. Harlow: Longman. Pitman Res.Notes Math. Ser. 386:161-177.
Vladimirov VA, Moffatt HK, Ilin KI.  1999.  On General Transformations and Variational Principles for the Magnetohydrodynamics of Ideal Fluids. Part IV. Generalized Isovorticity Principle for Three-Dimensional Flows. J.Fluid Mech. 390:127-150.
Vladimirov VA, Ilin KI.  1991.  On slow motion of a rigid body in a stratified fluid. J. Appl. Mech. Tech. Phys. 27(2):55-60.
Vladimirov VA, Mu-Mu, Wu-Yong-hui, Ilin KI.  1999.  On nonlinear stability of baroclinic fronts. J. of Geophysical and Astrophysical Fluid Dynamics. 91(1-2):65-84.

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