Dmitri Vainchtein

Publications

Some of my recent publications are available in the PDF form.

2007

· A. Singh, D. L. Vainchtein, and H. Weiss “Schelling's Segregation Model: Parameters, Scaling, and Aggregation”, submitted to Science.

· D. L. Vainchtein, J. Widloski, and R.O. Grigoriev “Resonance phenomena and chaotic advection in a cellular flow”, submitted to Phys. Rev. E.

· R. Chabreyrie, D. L. Vainchtein, N. Aubry, C. Chandre, and P. Singh “Tailoring mixing inside a translating drop”, submitted to Phys. Rev. Lett.

· D. L. Vainchtein, J. Widloski and R.O. Grigoriev "Resonant chaotic mixing in a cellular flow”, Physical Review Letters, vol. 99, Art. No. 094501.

· A. I. Neishtadt, D. L. Vainchtein, and A. Vasiliev “Adiabatic invariance in volume-preserving systems” in “IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence", IUTAM Bookseries , Vol. 6 Borisov, A.V.; Kozlov, V.V.; Mamaev, I.S.; Sokolovskiy, M.A. (Eds.), Springer Verlag, Berlin, pp. 89-108.

· D. L. Vainchtein, J. Widloski and R.O. Grigoriev "Mixing properties of steady flow in thermocapillary driven droplets”, Physics of Fluids, vol. 19, Art. No. 067102.

2006

· D. L. Vainchtein, Anatoly I. Neishtadt and I. Mezic "On passage through resonances in volume-preserving systems”, Chaos, vol. 16, Art. No. 043123.

· D. L. Vainchtein and I. Mezic “Vortex-based control algorithms”, Advances in Flow Control, Lecture Notes In Control And Information Sciences, vol. 330, pp. 189-212.

2005

· D. L. Vainchtein, L. M. Zelenyi, A. I. Neishtadt and J. Buechner "Quasi-adiabatic description of nonlinear particle dynamics in typical magnetotail configurations", Nonlinear Processes in Geophysics, vol. 12, pp. 101-115.

2004

· D. L. Vainchtein and I. Mezic "Capture into resonance: a method for efficient control", Physical Review Letters, vol. 93, no. 8, 20 Aug. 2004, Art. No. 084301.

· D. L. Vainchtein, E. V. Rovinsky, L. M. Zelenyi, and A. I. Neishtadt "Resonances and particle stochastization in nonhomogeneous electromagnetic fields", Journal of Nonlinear Science, vol. 14, pp. 173-205.

· D. L. Vainchtein and I. Mezic "Optimal control of a co-rotating vortex pair: averaging and impulsive control", Physica D, vol. 192, pp. 63-82.

A complete list of publications is here