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Degrees
- Ph.D. Theoretical & Applied Mechanics, University of Illinois at
Urbana-Champaign. (2001)
- M.S. Plasma Physics, Moscow Institute of Physics and Technology,
Moscow, Russia. (1995)
- B.S. Physics, Moscow Institute of Physics and Technology,
Moscow, Russia. (1993)
Research Interests
- Dynamical systems (including resonant phenomena and chaos)
- Fluid mechanics (including mixing, vortex dynamics and transport phenomena)
- Control theory
- Plasma physics
Selected Publications
- Resonant mixing in perturbed action-action-angle flow (2008),
D. Vainchtein, J. Widloski, and R. Grigoriev, Phys. Rev. E, 78, art. #026302.
- Tailoring mixing inside a translating drop (2008), R. Chabreyrie, D. Vainchtein, N. Aubry, C. Chandre, and P. Singh, Phys. Rev. E, 77, art. #036314.
- Adiabatic invariance in volume-preserving systems (2007), A. Neishtadt, D. Vainchtein, and A. Vasiliev, in "IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence" Proceedings of the IUTAM Symposium held in Moscow, 25-30 August, 2006. Series:
IUTAM Bookseries , Vol. 6 Borisov, A.V.; Kozlov, V.V.; Mamaev, I.S.;
Sokolovskiy, M.A. (Eds.), Springer Verlag, Berlin, pp. 89-108.
- Resonant chaotic mixing in a cellular flow (2007),
D. Vainchtein, J. Widloski, and R. Grigoriev, Phys. Rev. Lett., 99, art.
#094501.
- Mixing properties of steady flow in thermocapillary driven droplets (2007),
D. Vainchtein, J. Widloski, and R. Grigoriev, Physics of Fluids, 19, art.
#067102.
- On passage through resonances in volume-preserving systems (2006),
D. Vainchtein, A. Neishtadt, and I. Mezic, Chaos, 16, art. #043123.
- Vortex-based control algorithms (2006),
D. Vainchtein and I. Mezic,Advances in Flow Control, Lecture Notes in
Computational Science and Engineering, P. Koumoutsakos, I. Mezic, eds.,
published by Springer Verlag, Berlin, 330, pp. 189-212.
- Quasi-adiabatic description of nonlinear particle dynamics in typical
magnetotail configurations (2005),
D. Vainchtein, L. Zelenyi, A. Neishtadt, and J. Buechner, Nonlinear Processes
in Geophysics, 12, pp. 101-115.
- Capture into resonance: a method for efficient control (2004),
D. Vainchtein and I. Mezic, Phys. Rev. Lett., 93, art. #084301.
- Optimal control of a co-rotating vortex pair: averaging and impulsive control
(2004), D. Vainchtein and I. Mezic, Physica D, 192, pp. 63-82.
- Resonances and particle stochastization in nonhomogeneous electromagnetic
fields (2004), D. Vainchtein, E. Rovinsky,
L. Zelenyi, and A. Neishtadt, J. of Nonlinear Science, 14, pp. 173-205.
- Vortex crystals (2003), H. Aref, P. K. Newton, M. A. Stremler,
T. Tokieda, and D. Vainchtein, Adv. Appl. Mech., 39, pp. 1-79.
- Morphological transition in compressible foam (2001),
D. Vainchtein and H. Aref, Physics of Fluids, 13, pp. 2152-2160.
- The equation of state of a foam (2000), H. Aref and
D. Vainchtein, Physics of Fluids, 12, pp. 23-28.
- Point vortices exhibit asymmetric equilibria (1998),
H. Aref and D. Vainchtein, Nature, 392, pp. 769-770.
- Chaotic advection in a cubic Stokes flow (1998),
A. Neishtadt, D. Vainchtein, and A. Vasiliev, Physica D, 111, pp.
227-242.
- Changes in the adiabatic invariant and streamline chaos in confined
incompressible Stokes flow (1996), D. Vainchtein, A. Neishtadt, and A. Vasiliev,
Chaos, 6, pp. 67-77.
Present Teaching (Fall 2008)
- ME 4422: Vibrations and Controls
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