Publications

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  • 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.