On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 2. Stability criteria for two-dimensional flows VA Vladimirov, HK Moffatt, KI Ilin Journal of fluid mechanics 329, 187-205, 1996 | 50 | 1996 |
On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 4. Generalized isovorticity principle for three-dimensional flows VA Vladimirov, HK Moffatt, KI Ilin Journal of fluid mechanics 390, 127-150, 1999 | 34 | 1999 |
The three-dimensional stability of steady magnetohydrodynamic flows of an ideal fluid VA Vladimirov, KI Ilin Physics of Plasmas 5 (12), 4199-4204, 1998 | 34 | 1998 |
On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part III. Stability criteria for axisymmetric flows VA Vladimirov, HK Moffatt, KI Ilin Journal of plasma physics 57 (1), 89-120, 1997 | 28 | 1997 |
Viscous boundary layers in flows through a domain with permeable boundary K Ilin European Journal of Mechanics-B/Fluids 27 (5), 514-538, 2008 | 27 | 2008 |
Dynamics of a rolling robot KI Ilin, HK Moffatt, VA Vladimirov Proceedings of the National Academy of Sciences 114 (49), 12858-12863, 2017 | 22 | 2017 |
Instability of an inviscid flow between porous cylinders with radial flow K Ilin, A Morgulis Journal of Fluid Mechanics 730, 364-378, 2013 | 21 | 2013 |
The stability of steady magnetohydrodynamic flows with current-vortex sheets KI Ilin, YL Trakhinin, VA Vladimirov Physics of Plasmas 10 (7), 2649-2658, 2003 | 18 | 2003 |
Instability of a two-dimensional viscous flow in an annulus with permeable walls to two-dimensional perturbations K Ilin, A Morgulis Physics of Fluids 27 (4), 2015 | 17 | 2015 |
Energy principle for magnetohydrodynamic flows and Bogoyavlenskij’s transformation KI Ilin, VA Vladimirov Physics of plasmas 11 (7), 3586-3594, 2004 | 17 | 2004 |
Three-dimensional instability of an elliptic Kirchhoff vortex VA Vladimirov, KI Il'in Fluid Dynamics 23 (3), 356-360, 1988 | 16 | 1988 |
On the stability of the dynamical system ‘rigid body+ inviscid fluid’ VA Vladimirov, KI Ilin Journal of fluid mechanics 386, 43-75, 1999 | 13 | 1999 |
On the stability of the Couette–Taylor flow between rotating porous cylinders with radial flow K Ilin, A Morgulis European Journal of Mechanics-B/Fluids 80, 174-186, 2020 | 12 | 2020 |
Inviscid instability of an incompressible flow between rotating porous cylinders to three-dimensional perturbations K Ilin, A Morgulis European Journal of Mechanics-B/Fluids 61, 46-60, 2017 | 10 | 2017 |
On Arnold’s variational principles in fluid mechanics VA Vladimirov, KI Ilin The Arnoldfest (Toronto, ON, 1997) 24, 471-495, 2000 | 10 | 2000 |
On the steady streaming induced by vibrating walls K Ilin, A Morgulis SIAM Journal on Applied Mathematics 72 (5), 1406-1427, 2012 | 8 | 2012 |
Steady streaming between two vibrating planes at high Reynolds numbers K Ilin, A Morgulis arXiv preprint arXiv:1108.2710, 2011 | 8 | 2011 |
On the Arnold stability of a solid in a plane steady flow of an ideal incompressible fluid VA Vladimirov, KI Ilin Theoretical and computational fluid dynamics 10 (1), 425-437, 1998 | 7 | 1998 |
Steady viscous flows in an annulus between two cylinders produced by vibrations of the inner cylinder K Ilin, MA Sadiq arXiv preprint arXiv:1008.4704, 2010 | 6 | 2010 |
Stability of a baroclinic vortex KI Ilin Izv. Akad. Nauk SSSR Ser. Fiz. Atmosfer. i Okeana 27, 584-588, 1991 | 6 | 1991 |