Publications

    Books

    1. G. Falkovich (2011) Fluid mechanics (a short course for physicists). Cambridge University Press :
    2. J. Cardy , G. Falkovich and K. Gawedzki (2008) Non-equilibrium statistical mechanics and turbulence. Cambridge University Press :
    3. V. Zakharov , V. L'vov and G. Falkovich (1992) Kolmogorov spectra of turbulence. Springer, Djvu : [PDF]

    Reviews

    1. Falkovich G (2009) Symmetries of the turbulent state. J Phys a: Math Theor 42 : 123001[PDF]
    2. G Falkovich (2008) Cascade and scaling. Scholarpedia :
    3. Г. Фалькович (2007) Конформная инвариантность в гидродинамической турбулентности. УМН 62 (3) : [PDF]
    4. Falkovich G , (2007) Conformal invariance in hydrodynamic turbulence. Russian Mathematical Surveys 62 : 497-510[PDF]
    5. Falkovich G and Sreenivasan K R (2006) Lessons from hydrodynamic turbulence. Physics Today 59(4) : 43[PDF]
    6. Falkovich G , Gawedzki K and Vergassola M (2001) Particles and fields in fluid turbulence. Rev. Mod. Phys. 73 : 913--75[PDF]

    Articles

    1. N. Vladimirova , S. Derevyanko and G. Falkovich (2012) Phase transitions in wave turbulence. Physical Review e 85 : 010101[PDF]
    2. M Vucelja , G Falkovich & K S Turitsyn (2012) Fractal iso-contours of passive scalar in two-dimensional smooth random flows. J Stat Phys 147 : 424–435[PDF]
    3. G Falkovich ,Haitao Xu , A Pumir , E Bodenschatz , L Biferale , G Boffetta , A Lanotte , F Toschi (2012) On lagrangian single-particle statistics. Phys Fluids 24 : 055102[PDF]
    4. E Turitsyna , G Falkovich , A El-Taher , Xuewen Shu , P Harper and S Turitsyn (2012) Optical turbulence and spectral condensate in long fibre lasers. Proc Royal Soc a : [PDF]
    5. Falkovich G , Lebedev V (2011) Vorticity statistics in the direct cascade of two-dimensional turbulence. Physical Review e 83 : [PDF]
    6. N Vladimirova , S Derevyanko & G Falkovich (2011) Phase transitions in optical turbulence. Arxiv:1108.1541 :
    7. Xia H , Byrne D , Falkovich G , Shats M , (2011) Upscale energy transfer in thick turbulent fluid layers. Nature Physics 7 : 321-324
    8. M Vucelja , G Falkovich & K S Turitsyn (2011) Fractal iso-contours of passive scalar in smooth random flows. Arxiv:1108.1203 :
    9. Falkovich G , Fouxon I , Oz Y , (2010) New relations for correlation functions in navier-stokes turbulence. Journal of Fluid Mechanics 644 : 465-472[PDF]
    10. Falkovich G. and S. Musacchio (2010) Conformal invariance in inverse turbulent cascades. Arxiv:1012.3868 :
    11. Turitsyna EG , Falkovich G , Mezentsev VK , Turitsyn SK , (2009) Optical turbulence and spectral condensate in long-fiber lasers. Physical Review a 80 : [PDF]
    12. Falkovich G , (2009) Could waves mix the ocean?. Journal of Fluid Mechanics 638 : 1-4[PDF]
    13. Xia , H. , Shats , M. & Falkovich , G (2009) Spectrally condensed turbulence in thin layers. Phys Fluids 21 : 125101[PDF]
    14. Derevyanko S , Falkovich G , Turitsyn S , (2008) Evolution of non-uniformly seeded warm clouds in idealized turbulent conditions. New Journal of Physics 10 : [PDF]
    15. Chetrite R , Falkovich G , Gawedzki K (2008) Fluctuation relations in simple examples of non-equilibrium steady states. Journal of Statistical Mechanics-theory and Experiment - : -[PDF]
    16. Xia H , Punzmann H , Falkovich G , Shats MG , (2008) Turbulence-condensate interaction in two dimensions. Physical Review Letters 101 : [PDF]
    17. M. G. Shats , H. Xia , H. Punzmann and G. Falkovich (2007) Suppression of turbulence by self-generated and imposed mean flows. Phys. Rev. Lett. 99 : 164502[PDF]
    18. Falkovich G , Pumir A , (2007) Sling effect in collisions of water droplets in turbulent clouds. Journal of the Atmospheric Sciences 64 : 4497-4505[PDF]
    19. Derevyanko SA , Falkovich G , Turitsyn K , Turitsyn S , (2007) Lagrangian and eulerian descriptions of inertial particles in random flows. Journal of Turbulence 8 : 1-18[PDF]
    20. Bernard D , Boffetta G , Celani A , Falkovich G (2007) Inverse turbulent cascades and conformally invariant curves. Physical Review Letters 98 : -[PDF]
    21. Vucelja M , Falkovich G , Fouxon I (2007) Clustering of matter in waves and currents. Physical Review e 75 : -[PDF]
    22. Falkovich G , Afonso MM (2007) Fluid-particle separation in a random flow described by the telegraph model. Physical Review e 76 : -[PDF]
    23. Falkovich G , (2007) Nodal lines in turbulence. European Physical Journal-special Topics 145 : 211-216
    24. Falkovich G , Musacchio S , Piterbarg L , Vucelja M (2007) Inertial particles driven by a telegraph noise. Physical Review e 76 : -[PDF]
    25. Lukaschuk S , Denissenko P , Falkovich G , (2007) Nodal patterns of floaters in surface waves. European Physical Journal-special Topics 145 : 125-136[PDF]
    26. Denissenko P , Falkovich G , Lukaschuk S (2006) How waves affect the distribution of particles that float on a liquid surface. Physical Review Letters 97 : -[PDF]
    27. Falkovich G , Stepanov MG , Vucelja M , (2006) Rain initiation time in turbulent warm clouds. Journal of Applied Meteorology and Climatology 45 : 591-599[PDF]
    28. Bernard D , Boffetta G , Celani A , Falkovich G , (2006) Conformal invariance in two-dimensional turbulence. Nature Physics 2 : 124-128[PDF]
    29. Lukaschuk S , Denissenko P , Falkovich G , (2006) Clustering of floating particles by surface waves. Journal of Low Temperature Physics 145 : 297-310
    30. Falkovich G , Fouxon A (2005) Anomalous scaling of a passive scalar in turbulence and in equilibrium. Physical Review Letters 94 : [PDF]
    31. Falkovich G , Weinberg A , Denissenko P , Lukaschuk S (2005) Floater clustering in a standing wave. Nature 435 : 1045-1046[PDF]
    32. Celani A , Falkovich G , Mazzino A , Seminara A (2005) Droplet condensation in turbulent flows. Europhysics Letters 70 : 775-781[PDF]
    33. Falkovich G , Shlomo D (2005) Evolution of a passive scalar spectrum in the flow of random waves. Physical Review e 71 :
    34. Falkovich G , Pumir A (2004) intermittent distribution of heavy particles in a turbulent flow. Physics of Fluids 16 : L47-L50[PDF]
    35. Balk AM , Falkovich G , Stepanov MG (2004) Growth of density inhomogeneities in a flow of wave turbulence. Physical Review Letters 92 : [PDF]
    36. Falkovich G , Kolokolov I , Lebedev V , Mezentsev V , Turitsyn S (2004) non-gaussian error probability in optical soliton transmission. Physica D-nonlinear Phenomena 195 : 1-28[PDF]
    37. Falkovich G , Fouxon A , Stepanov M G (2002) Acceleration of rain initiation by cloud turbulence.. Nature 419 : 151-4[PDF]
    38. Pasquero Claudia , Falkovich Gregory (2002) Stationary spectrum of vorticity cascade in two-dimensional turbulence.. Physical Review e. Statistical Nonlinear : 65
    39. Falkovich G. , Stepanov M.G. (2002) Role of interaction in causing errors in optical soliton transmission. Optics Letters 27 : 13-15[PDF]
    40. G. E. Falkovich , I. Kolokolov , V. Lebedev and S. K. Turitsyn (2001) Statistics of soliton-bearing systems with additive noise. Phys. Rev. e 63 : 025601(R)[PDF]
    41. Balkovsky E , Falkovich G , Fouxon A (2001) intermittent distribution of inertial particles in turbulent flows. Physical Review Letters 86 : 2790-2793[PDF]
    42. Nazarenko SV , Falkovich GE , Galtier S (2001) feedback of a small-scale magnetic dynamo. Physical Review e 6302 : art.no.-016408
    43. Balkovsky E , Falkovich G , Lebedev V , Lysiansky M (1999) Large-scale properties of passive scalar advection. Physics of Fluids 11 : 2269-2279
    44. Chertkov M , Falkovich G , Kolokolov I , Vergassola M (1999) Small-scale turbulent dynamo. Physical Review Letters 83 : 4065-4068
    45. Falkovich G , Kazakov V , Lebedev V , (1998) Particle dispersion in a multidimensional random flow with arbitrary temporal correlations. Physica a 249 : 36-46[PDF]
    46. Chertkov M , Falkovich G , Kolokolov I , (1998) Intermittent dissipation of a passive scalar in turbulence. Physical Review Letters 80 : 2121-2124
    47. Balkovsky E , Falkovich G , (1998) Two complementary descriptions of intermittency. Physical Review e 57 : R1231-R1234
    48. Balkovsky E , Falkovich G , Lebedev V , (1997) Three-point correlation function of a scalar mixed by an almost smooth random velocity field. Physical Review e 55 : R4881-R4884
    49. Balkovsky E , Falkovich G , Kolokolov I , Lebedev V , (1997) Viscous instanton for burgers' turbulence. International Journal of Modern Physics b 11 : 3223-3245
    50. Balkovsky E , Falkovich G , Kolokolov I , Lebedev V , (1997) Intermittency of burgers' turbulence. Physical Review Letters 78 : 1452-1455[PDF]
    51. Falkovich G , Lebedev V , (1997) Single-point velocity distribution in turbulence. Physical Review Letters 79 : 4159-4161[PDF]
    52. Chertkov M , Falkovich G , Lebedev V , (1996) Nonuniversality of the scaling exponents of a passive scalar convected by a random flow. Physical Review Letters 76 : 3707-3710
    53. Chertkov M , Falkovich G , (1996) Anomalous scaling exponents of a white-advected passive scalar. Physical Review Letters 76 : 2706-2709
    54. Falkovich G , Meyer M , (1996) Two-dimensional acoustic turbulence. Physical Review e 54 : 4431-4434
    55. Chertkov M , Falkovich G , Kolokolov I , Lebedev V , (1996) Theory of random advection in two dimensions. International Journal of Modern Physics b 10 : 2273-2309
    56. Falkovich G , Kolokolov I , Lebedev V , Migdal A , (1996) Instantons and intermittency. Physical Review e 54 : 4896-4907
    57. Dyachenko A , Falkovich G , (1996) Condensate turbulence in two dimensions. Physical Review e 54 : 5095-5099
    58. Falkovich G , Lebedev V , (1996) Exact results on scaling exponents in the 2d enstrophy cascade - comment. Physical Review Letters 76 : 1974
    59. Chertkov M , Falkovich G , Kolokolov I , Lebedev V , (1995) Statistics of a passive scalar advected by a large-scale 2-dimensional velocity-field - analytic solution. Physical Review e 51 : 5609-5627
    60. Falkovich GE , Shapiro IY , Shtilman L , (1995) 2 stages of decay turbulence of capillary waves. International Journal of Non-linear Mechanics 30 : 609-616
    61. Falkovich G , Shafarenko A , Wilford G , (1995) Joint behavior of inertio-gravity and rossby waves. Physica d 87 : 285-289
    62. Falkovich G , Lvov VS , (1995) Isotropic and anisotropic turbulence in clebsch variables. Chaos Solitons & Fractals 5 : 1855-1869
    63. Balkovsky E , Falkovich G , Lebedev V , Shapiro IY , (1995) Large-scale properties of wave turbulence. Physical Review e 52 : 4537-4540
    64. Falkovich GE , Shapiro IY , Shtilman L , (1995) Decay turbulence of capillary waves. Europhysics Letters 29 : 1-6
    65. Chertkov M , Falkovich G , Kolokolov I , Lebedev V , (1995) Normal and anomalous scaling of the 4th-order correlation-function of a randomly advected passive scalar. Physical Review e 52 : 4924-4941
    66. Falkovich G , Lebedev V , (1994) Universal direct cascade in 2-dimensional turbulence. Physical Review e 50 : 3883-3899
    67. Chertkov M , Falkovich G , (1994) Structural instability of 2-dimensional turbulence. Physica d 78 : 11-29
    68. Falkovich G , (1994) Turbulence with an infinite number of conservation-laws. Physical Review e 49 : 2468-2471
    69. Falkovich G , Lebedev V , (1994) Nonlocal vorticity cascade in 2 dimensions. Physical Review e 49 : R1800-R1804
    70. Falkovich G , (1994) Bottleneck phenomenon in developed turbulence. Physics of Fluids 6 : 1411-1414
    71. Larraza A , Falkovich G , (1993) Collective modes in open systems of nonlinear random waves. Physical Review b 48 : 9855-9857
    72. Falkovich G , Hanany A , (1993) Is 2d turbulence a conformal turbulence. Physical Review Letters 71 : 3454-3457
    73. Lvov VS , Falkovich GE , (1992) Conservation-laws and 2-flux spectra of hydrodynamic convective turbulence. Physica d 57 : 85-95
    74. Lvov V , Falkovich G , (1992) Counterbalanced interaction locality of developed hydrodynamic turbulence. Physical Review a 46 : 4762-4772
    75. Falkovich GE , Ryzhenkova IV , (1992) Kolmogorov spectra of langmuir and optical turbulence. Physics of Fluids B-plasma Physics 4 : 594-598[PDF]
    76. Falkovich G , (1992) Inverse cascade and wave condensate in mesoscale atmospheric-turbulence. Physical Review Letters 69 : 3173-3176
    77. Falkovich GE , Medvedev SB , (1992) Kolmogorov-like spectrum for turbulence of inertial-gravity waves. Europhysics Letters 19 : 279-284
    78. Falkovich GE , Spector MD , (1992) Nonlocal angular instability of a kolmogorov-like wave turbulence spectrum. Physics Letters a 168 : 127-132
    79. Falkovich G and Shafarenko A (1991) Nonstationary wave turbulence. J Nonlinear Science 1 : 457-480[PDF]
    80. Fal'kovich GE (1990) On the impossibility of weakly damped 2nd sound in turbulent media. Zh Eksp Teor Fiz 97 : 1847-1851
    81. Ryzhenkova IV , Fal'kovich GE (1990) Effect of dissipation on the structure of a stationary wave turbulence spectrum. Zh Eksp Teor Fiz 98 : 1931-1940
    82. S. Lukashchuk , G. Fal'kovich , A. Chernykh (1989) Calculation of the dimensions of attractors from experimental data. Journal of Applied Mechanics and Technical Physics 30 (1) : 95-100[PDF]
    83. Fal'kovich GE , Shafarenko AV (1988) What is the energy flux carried off by the weak turbulence kolmogorov spectrum. Zh Eksp Teor Fiz 94 : 172-179
    84. Fal'kovich GE , Shafarenko AV (1988) On the influence of weak anisotropy of pump on kolmogorov spectrum of acoustic turbulence. Doklady Akademii Nauk 301 : 297-300
    85. Fal'kovich GE (1987) The stability of kolmogorov weak-turbulence spectra. Zh Eksp Teor Fiz 93 : 172-177
    86. Fal'kovich GE , Shafarenko AV (1987) On the stability of kolmogorov spectra of a weak turbulence. Physica d 27 : 399-411
    87. Lutovinov VS , Fal'kovich GE , Cherepanov VB (1986) Nonequilibrium distribution of quasi-particles under parametric-excitation of magnons in an antiferromagnet with a decay spectrum . Zh Eksp Teor Fiz 90 : 1781-1794
    88. Turitsyn SK , Fal'kovich GE (1985) Stability of magnetoelastic solitons and self-focusing of sound in antiferromagnetics. Zh Eksp Teor Fiz 89 : 258-270
    89. Lavrinenko AV , Melkov GA , Fal'kovich GE (1984) Mutual influence of kinetic and parametric methods of excitation of spin-waves. Zh Eksp Teor Fiz 87 : 205-211
    90. Fal'kovich GE (1984) Nontrivial relaxation of a narrow packet during three-wave interaction. Radiophysics and Quantum Electronics 27 : 122-127[PDF]
    91. Kuznetsov E , Spector M and Falkovich G (1984) On the stability of nonlinear waves in integrable models. Physica d 10 : 379-386[PDF]
    92. Fal'kovich GE , Spector MD , Turitsyn SK (1983) Destruction of stationary solutions and collapse in the non-linear string equation. Physics Letters a 99 : 271-274
    93. Fal'kovich GE (1981) On non-linear theory of dielectric-relaxation in crystals. Fizika Tverdogo Tela 23 : 324-326
    94. Kuznetsov E.A. and Falkovich G.E (1981) On the stability of a self-similar solution in the burgers equation.. Physics Letters 86 : 203-4[PDF]
    95. Lvov VS , Falkovich GE (1981) Anisotropic spectra of weak sound turbulence. Zh Eksp Teor Fiz 80, 593; Sov Phys Jetp 53 : 2