45 Scale Separated Approaches to the Interaction of Oceanic Internal Waves, part II: A one-dimensional numerical model
Kurt L Polzin and Yuri V Lvov arxiv

44 Scale Separated Approaches to the Interaction of Oceanic Internal Waves, part I: Theory
Yuri V Lvov and Kurt L Polzin, arxiv

43 Generalized Clebsch Variables for Compressible Ideal Fluids: Initial Conditions and Approximations of the Hamiltonian
Benno Rumpf and Yuri V. Lvov, Fluids 7, 122 (2022)
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42 Anomalous conduction and second sound in the Fermi-Pasta-Ulam-Tsingou chain: wave-turbulence approach
Francesco De Vita, Giovanni Dematteis, Raffaele Mazzilli, Davide Proment, Yuri V. Lvov, Miguel Onorato
arxiv

41 Theory of anisotropic superfluid He-4 counterflow turbulence
Victor S. L'vov, Yuri V. Lvov, Sergey Nazarenko, Anna Pomyalov
Philosophical transactions Mathematical, physical, and engineering sciences. 380, 2219 (2022)
arxiv Journal

40 On the Origins of the Oceanic Ultraviolet Catastrophe
Giovanni Dematteis, Kurt L. Polzin, Yuri V. Lvov
Journal of Physical Oceanography, volume 51, 597–616(2022)
arxiv Journal

39 Three-wave resonant interactions in the diatomic chain with cubic anharmonic potential: theory and simulations
A. Pezzi, G. Deng, Y. Lvov, M. Lorenzo, M. Onorato
arxiv

38 Downscale energy fluxes in scale invariant oceanic internal wave turbulence,
Giovanni Dematteir and Yuri Lvov, Journal of Fluid Mechanics , 915 , A129 (2021)
arxiv

Journal

37 Excitation of interfacial waves via near---resonant surface---interfacial wave interactions
Joseph Zaleski, Philip Zaleski, Yuri V Lvov, Journal of Fluid Mechanics, volume 887, A14 (2020)
arxiv pdf

36 Anomalous correlators, "ghost" waves and nonlinear standing waves in the β-FPUT system
Joseph Zaleski, Miguel Onorato, Yuri V Lvov, Physical Review X, volume 10, 021043 (2020).
arxiv pdf

35 Universal route to thermalization in weakly-nonlinear one-dimensional chains,
Lorenzo Pistone, Sergio Chibbaro, Miguel Bustamante, Yuri L'vov, Miguel Onorato, Mathematics in Engineering, 2019, 1(4): 672-698. doi: 10.3934/mine.2019.4.672
arxiv pdf

34 Exact discrete resonances in the Fermi-Pasta-Ulam-Tsingou system
Miguel D. Bustamante, Kevin Hutchinson, Yuri V. Lvov, Miguel Onorato
Communication in Nonlinear Science and Numerical Simulations, 73 (2019)
arxiv pdf

33 Double scaling in the relaxation time in the β-FPUT model
Yuri V Lvov and Miguel Onorato
Physics Review Letters (2018)
arxiv pdf

32 An Oceanic Ultra-Violet Catastrophe, Wave-Particle Duality and a Strongly Nonlinear Concept for Geophysical Turbulence
Kurt L. Polzin and Yuri V. Lvov
Fluids 2, 36 (2017)
pdf

31 Bidirectional Energy Cascade in Surface Capillary Waves
L. V. Abdurakhimov, M. Arefin, G. V. Kolmakov, A. A. Levchenko, Y.V.Lvov and I. A. Remizov
Phys. Rev. E 91, 023021 (2015)
pdf

30 Route to thermalization in the alpha Fermi-Pasta-Ulam System
Miguel Onorato, Lara Vozella, Davide Proment and Yuri Lvov
Proceeding of National Academy of Science, 14, 4208–4213 (2015).
pdf Arxiv

29 Formation of the bi-directional energy cascade in low frequency damped wave turbulence systems
Yuri Lvov, Andy He and German ,
V. Kolmakov, Europhysics Letters 112 24004 (2015).
pdf

28 "Resonant and Near-Resonant Internal Wave Interactions"
Yuri V Lvov, Kurt L Polzin, Naoto Yokoyama
Journal of Physical Oceanography, 669-691, 42, (2012)
latex pdf arxiv

27 "Toward Regional Characterization of the oceanic internal wavefield
Kurt L Polzin and Yuri V Lvov
Reviews of Geophysics, 49, RG4003 (2011) pdf

26 "Oceanic Internal Wave Field: Theory of Scale-invariant Spectra"
Yuri V Lvov, Kurt L Polzin, Esteban Tabak, Naoto Yokoyama
Journal of Physical Oceanography, 2605-2623, 40, (2010)
pdf ps html arxiv Journal

25 "Canonical Hamiltonians for waves in inhomogeneous media"
Boris Gershgorin, Yuri V Lvov and Sergey Nazarenko
Journal of Mathematical Physics 50, 013527 (2009);
pdf ps html arxiv Journal

24 "Energy spectra of internal waves in stratified fluid: Direct numerical simulations"
Yuri V. Lvov, Naoto Yokoyama"
Physica D: Nonlinear Phenomena 238, 803-815 (2009)
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23 "Interactions of renormalized waves in thermalized Fermi-Pasta-Ulam chains"
Boris Gershgorin, Yuri V. Lvov, David Cai
Phys. Rev. E 75, 046603 (2007)
latex pdf ps html arxiv Journal

22 "Discreteness and its effect on water-wave turbulence"
Yuri V Lvov, Sergey . Nazarenko, Boris Pokorni,
Physica D: Vol 218, 24-35(2006). "
latex pdf ps html arxiv Journal

21 "Renormalized waves and discrete breathers in beta-FPU chains"
Boris Gershgorin, Yuri Lvov and David Cai,
Phys. Rev. Lett. 95, 264302 (2005)
latex pdf ps html arxiv Journal

20 ``Joint statistics of amplitudes and phases in Wave Turbulence'',
Y. Choi, Y.V. Lvov, and S. Nazarenko
Physica D, 201, 121, 2005.
latex pdf ps html arxiv Journal

19 ``Probability densities and preservation of randomness in wave turbulence,''
Y. Choi, Y.V. Lvov, and S. Nazarenko,
Physics Letters A, 332, 230, (2004).
latex pdf ps html arxiv Journal

18 ``Anomalous probability of large amplitudes in wave turbulence'',
Y. Choi, Y.V. Lvov, S. Nazarenko, and B. Pokorni,
Physics Letters A, 339, 361, (2005)
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17 ``A Hamiltonian Formulation for Long Internal Waves'',
Yuri Lvov and Esteban Tabak,
Physica D 195, 106 (2004).
latex pdf ps html arxiv Journal

16 ``Energy spectra of the ocean's internal wave field: theory and observations,''
Y.V. Lvov, K. Polzin, and E.G. Tabak,
Physical Review Letters 92, 128501 (2004).
latex pdf ps html arxiv Journal

15 `` Noisy spectra, long correlations, and intermittency in wave turbulence,''
Y.V. Lvov and S. Nazarenko,
Physical Review E 69, 066608 (2004).
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14 ``Stages of Energy Transfer in the FPU Model,''
J.A. Biello, P.R. Kramer, and Y.V. Lvov,
{ Discrete and Continuous Dynamical Systems}, Expanded Volume for the Proceedings of the Fourth International Conference on Dynamical Systems and Differential Equations}, 113(2003).
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13 ``Application of Weak Turbulence Theory to FPU Model,''
P.R. Kramer, J.A. Biello, and Y.V. Lvov,
Discrete and Continuous Dynamical Systems} Expanded Volume for the Proceedings of the Fourth International Conference on Dynamical Systems and Differential Equations, 482 (2003).
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12 ``Wave turbulence in Bose Einstein condensates
Y.V. Lvov, S. Nazarenko, and R. West,
Physica D, 184, 333 (2003).
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11 ``Hamiltonian formalism and the Garrett-Munk spectrum of internal waves in the ocean,''
Y.V. Lvov and E.G. Tabak,
Physical Review Letter} 87, 168501 (2001).
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10 ``Anisotropic spectra of acoustic turbulence,''
V.S. Lvov, Y.V. Lvov, A. Pomyalov,
Physical Review E 61, 2586 (2000).
pdf ps arxiv Journal

9 ``Finite flux solutions of the quantum Boltzmann equation and Semiconductor lasers,''
Y.V. Lvov and A.C. Newell,
Physical Review Letters} 84, 1894 (2000).
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8 Y.V. Lvov, R. Binder and A.C. Newell,
``Quantum Weak Turbulence in application for Semiconductor Lasers,''
Physica D, 121, 317 (1998). latex pdf ps html Journal

7 ``Semiconductor Lasers and Kolmogorov Spectra,''
Y.V. Lvov, A.C. Newell, Physics Letters A, 235, 499 (1997).
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6 ``Effective Five Wave Hamiltonian for Surface Water Waves,''
Y.V. Lvov,
Physics Letters A, 230, 38 (1997).
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5 ``Statistical description of acoustic turbulence,''
V.S. Lvov, Y.V. Lvov, A.C. Newell, V.E. Zakharov,
Physical Review E, 56, 390 (1997). latex pdf ps html Journal

4 ``Five-wave interaction on the surface of deep fluid,''
A.I. Dyachenko, Y.V. Lvov and V.E. Zakharov,
Physica D} 87}, 233 (1995). latex pdf ps html Journal

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

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

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

Miscellaneous

2 ``Wave Turbulence,''
Yeontaek Choi, Yuri V. Lvov, Sergey Nazarenko
html pdf ps Journal arxiv

1 Complexity and Nonlinearity in Physical Systems -- A Special Issue to Honor Alan Newell - Prefrace
Physica D: Nonlinear Phenomena
Volume 184, Issues 1-4 , 1 October 2003, Pages 1-2
Journal

• NSF CAREER award in applied mathematics, 2001
• NSF Collaboration in Mathematical Sciences, 2004