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Mathematical Sciences
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Yuri Lvov
Department of Mathematical Sciences Faculty:

Kristin Bennett
Mohamed Boudjelkha
Margaret Cheney
Donald Drew
Joseph Ecker
Joseph E. Flaherty
Isom Herron
Mark Holmes
David Isaacson
Ashwani Kapila
Maya Kiehl
Gregor Kovacic
Peter Kramer
Fengyan Li
Chjan Lim
Yuri Lvov
Harry McLaughlin
Joyce McLaughlin
John Mitchell
Clifford Nolan
Bruce Piper
Victor Roytburd
David Schmidt
Donald Schwendeman
William Siegmann
Michael Zuker

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Mathematical Sciences Faculty
Yuri Lvov

Professor of Mathematical Sciences

Education:

Ph.D. (Physics), The University of Arizona, 1998
M.Sc. (Applied Physics), The Weizmann Institute of Science, Israel, 1993
St. Petersburg Technical University, St Petersburg, Russia (equivalent to B.S. in Physics), 1990

Career Highlights:

Associate Professor, Mathematical Sciences Department, Rensselaer Polytechnic Institute, Troy, NY 12180. July 2005-Present
Assistant Professor, Mathematical Sciences Department, Rensselaer Polytechnic Institute, Troy, NY 12180. July 1999 - July 2005
Postdoctoral Research Fellow, Center for Nonlinear Studies, (August 1998-July 1999). Research in pulse propagation in optical fiber links, with Ildar R.Gabitov.
Graduate Research Assistant Center for Nonlinear Study, Los Alamos National Laboratory, Los Alamos, NM (June 1997 -July 1998)
Research Associate Department of Mathematics, The University of Arizona, Tucson, Arizona (01/1994 -05/98) Conducting research on semiconductor laser theory with Alan C. Newell and nonlinear wave dynamics and kinetic theory of surface water waves on deep water with Vladimir E. Zakharov.
Teaching Assistant, Department of Physics, The University of Arizona (8/93-12/93).
Research Assistant Department of Physics, The Weizmann Institute of Science, Israel. (3/91-3/93)

Research Areas:

Mathematical physics and nonlinear phenomena.

Selected Publications:

Y.V. Lvov, R.M. Hornreich and D.W. Allender, "Theory of a symmetry breaking phase transition in a surface layer of nematic liquid crystal", Physical Review E, 48, 1115 (1993).

H. Davidowitz, Y. Lvov and V. Steinberg, "Decay instability of second sound in superfluid helium", Physica D. Nonlinear Phenomena, 84, 635 (1995).

A.I. Dyachenko and Y.V. Lvov, "On the Hasselmann's and Zakharov's approaches to the kinetic equations for the gravity waves", Journal of Physical Oceanography, 25, 3237 (1995).

A.I. Dyachenko, Y.V. Lvov and V.E. Zakharov, "Five-wave interaction on the surface of deep fluid", Physica D. Nonlinear Phenomena, 87, 233 (1995).

V.S. Lvov, Y.V. Lvov, A.C. Newell, V.E. Zakharov, "Statistical description of acoustic turbulence", Physical Review E, 56, 390 (1997).

Y.V. Lvov, "Effective Five Wave Hamiltonian for Surface Water Waves", Physics Letters A, 230, 38 (1997).

Y.V. Lvov, A.C. Newell, "Semiconductor Lasers and Kolmogorov Spectra", Physics Letters A, 235, 499 (1997).

Yuri Lvov, R. Binder and Alan Newell, "Quantum Weak Turbulence in application for Semiconductor Lasers", Physica D. Nonlinear Phenomena, 121, 317, (1998).

Yuri V. Lvov and Alan C. Newell, "Finite flux solutions of the quantum Boltzmann equation and Semiconductor lasers", Physical Review Letters, 84, 1894, (2000).

Y.V. Lvov, V.S. Lvov, "Anisotropic spectra of acoustic turbulence", Physical Review E, 61, 2586, (2000).

Yuri V. Lvov and Esteban Tabak, "Hamiltonian formalism and the Garrett-Munk spectrum of internal waves in the ocean", Physical Review Letter, 87, 168501, (2001).

Yuri V. Lvov, Sergei Nazarenko and Robert West, "Spatially nonhomogeneous weak turbulence theory for the Gross-Pitaevskii equation", Physica D, 184, 333-351, (2003).

Peter R. Kramer, Joseph A. Biello and Yuri Lvov, "Application of Weak Turbulence Theory to FPU Model", Discrete and Continuous Dynamical Systems, Expanded Volume, 482-491, (2003).

Joseph A. Biello, Peter R. Kramer and Yuri Lvov, "Stages of Energy Transfer in the FPU Model", Discrete and Continuous Dynamical Systems, Expanded Volume, 113-122, (2003).

Y.V. Lvov, K. Polzin, and E.G. Tabak, "Energy spectra of the ocean's internal wave field: theory and observations", Physical Review Letters, 92, 128501 (2004).

Yuri Lvov and Esteban Tabak, "A Hamiltonian Formulation for Long Internal Waves", Physica D, 195, 106 (2004).

Y.V. Lvov and S. Nazarenko, " Noisy spectra, long correlations, and intermittency in wave turbulence", Physical Review E, 69, 066608 (2004).

Y. Choi, Y.V. Lvov, S. Nazarenko, and B. Pokorni, "Anomalous probability of large amplitudes in wave turbulence", Physics Letters A, Volume 339, p. 361-369 (2004).

Y. Choi, Y.V. Lvov, and S. Nazarenko, "Probability densities and preservation of randomness in wave turbulence", Physics Letters A, 332, 230, (2004).

Y. Choi, Y.V. Lvov, and S. Nazarenko "Joint statistics of amplitudes and phases in Wave Turbulence'', Physica D, 201, 121, (2005).

Contact Information:

Yuri Lvov
(518) 276-6893
lvovy@rpi.edu

More Info:

http://www.rpi.edu/~lvovy/

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