Works on Surface
Waves Theory
- V.E. Zakharov, A.I. Dyachenko, A.O.
Prokofiev, Freak waves:
Peculiarities of numerical simulations, to appear in the book
"Extreme Waves in the Ocean", Springer, eds. E.Pelinovsky and C.
Harif.
- F. Dias, A. Dyachenko, V. Zakharov, Theory of weakly damped free-surface
flows: A new formulation based on potential flow solutions, Phys.
Lett. A (in press).
- A.O. Korotkevich, A.N. Pushkarev, D. Resio,
V.E. Zakharov, Numerical
Verification of the Weak Turbulent Model for Swell Evolution, Eur. J.
of Mech. B/Fluids (in press).
- S.I. Badulin, A.V. Babanin, D. Resio, V.E.
Zakharov, Weakly turbulent laws of wind-wave growth, J. of Fluid Mech., 591 (2007), 339-378.
- V.E. Zakharov, A.O. Korotkevich, A.N.
Pushkarev, D. Resio, Coexistence of
Weak and Strong Wave Turbulence in a Swell Propagation, Phys. Rev.
Lett., 99 (2007), 16, 164501. [PDF (307 kB) ]
- A.O. Korotkevich, A.N. Pushkarev, D. Resio,
V. Zakharov, Numerical verification
of the Hasselmann equation, accepted for publication in a book
"Tsunami and Nonlinear Waves" (Ed. Anjan Kundu), Springer,
Approx. 325 p., 170 illus., Hardcover, ISBN: 978-3-540-71255-8.
- V. Zakharov, Direct and Inverse Cascades in the wind-driven sea, accepted
for publication in AGU Geophysical Monograph, Miami, USA. [PDF (177 kB) ]
- V.E. Zakharov, A.I. Dyachenko, A.O.
Prokofiev, Freak waves as nonlinear
stage of Stokes wave modulation instability, Eur. J. of Mech.
B/Fluids, 25 (2006), 5, 677-692.
- V.E. Zakharov, A.O. Korotkevich, A.N.
Pushkarev and A.I. Dyachenko, Mesoscopic
Wave Turbulence, JETP Lett., 82
(2005), 8, 487-491. [PDF (204 kB) ]
- Zakharov, Theoretical
Interpretation of Fetch Limited Wind-Driven Sea Observations,
Nonlinear Processes in Geophysics, 12
(2005), 1011–1020.
- S.I. Badulin, A.N. Pushkarev, D. Resio, V.E.
Zakharov, Self-Similarity of Wind
Driven Seas, Nonlinear Processes in Geophysics, 12 (2005), 891–945.
- A.I.Dyachenko, V.E. Zakharov, Modulation instability of Stokes -
freak wave, JETP Letters, 81
(2005), 255.
- F. Dias, A. Pushkarev,
V. Zakharov, One-dimensional wave turbulence, Physics Reports,
398 (2004), 1, 1-65.
- A.I. Dyachenko, A.O. Korotkevich, V.E. Zakharov,
Weak turbulent Kolmogorov spectrum for surface gravity waves, Phys.
Rev. Lett., 92 (2004), 13. [PDF (253 kB)]
- A. Pushkarev, D. Resio, V. Zakharov, Second generation diffusion model of interacting
gravity waves on the surface of deep fluid, Nonlinear Processes in
Geophysics, 11 (2004), 329–342.
- A.I. Dyachenko, A.O. Korotkevich,
V.E. Zakharov, Weak
turbulence of gravity waves, Pis'ma v ZhETF 77 (10)
649-653 (2003) [JETP Letters 77 (10) 546-550 (2003)] [PDF (60 kB)].
- A.I. Dyachenko,
A.O. Korotkevich, V.E. Zakharov, Decay
of the monochromatic capillary wave, Pis'ma v ZhETF 77
(9) 572-576 (2003) [JETP Letters 77 (9) 477-481 (2003)] [PDF (108 kB)].
- A. Pushkarev, D. Resio,
V. Zakharov, Weak
turbulent approach to the wind-generated gravity sea waves,
Physica D 184 (1-4) 29-63 (2003): in “Complexity and Nonlinearity
in Physical Systems” — a special issue to honor A. Newell
[PDF (447 kB)].
- V.E. Zakharov, Theoretical
interpretation of fetch limited observations of wind--driven sea
— 7th International
Workshop on Wave Hindcasting and Forecasting (October 21-25, 2002,
Banff, Alberta, Canada), pp. 286-294 [PDF (148 kB)].
- I. Lavrenov, D. Resio,
V. Zakharov, Numerical simulation of weak-turbulent Kolmogorov
spectra in water surface waves — 7th International Workshop on
Wave Hindcasting and Forecasting (October 21-25, 2002, Banff, Alberta,
Canada) [PDF (135 kB)]
- S. Badulin, A. Pushkarev,
D. Resio, V. Zakharov, Direct and inverse cascade of energy,
momentum and wave action in the wind-driven sea 7th International Workshop on
Wave Hindcasting and Forecasting (October 21-25, 2002, Banff, Alberta,
Canada), pp. 295-306 [PDF
(38 kB)]
- V.E. Zakharov, A.I. Dyachenko,
O.A. Vasilyev, New method for
numerical simulation of a nonstationary potential flow of incompressible
fluid with a free surface, Eur. J. Mech. B 21 (3)
283-291 (2002) [PDF
(155 kB)].
- M. Onorato, A. Osborne,
M. Serio, D. Resio, A. Pushkarev, V.E. Zakharov,
C. Brandini, Freely
decaying weak turbulence for sea surface gravity waves, Phys. Rev.
Lett. 89 (14) 144501 (2002) [PDF (112 kB)].
- A.N. Pushkarev, V.E. Zakharov, Turbulence of
capillary waves — theory and numerical simulation,
Physica D 135 (1-2) 98-116 (2000) [PDF (778 kB)].
- A. Pushkarev,
V. Zakharov, On conservation of the constants of motion in the
models of nonlinear wave interaction — 6th International
Workshop on Wave Hindcasting and Forecasting (November 6-10, 2000,
Monterey, California, USA), pp. 456-469 (published by Meteorological
Service of Canada).
- V. Zakharov, Statistical
theory of gravity and capillary waves on the surface of a finite-depth
fluid, Eur. J. Mech. B 18 (3) 327-344 (1999): in
“Three-Dimensional Aspects of Air-Sea Interaction” [PDF (995 kB)]
- V.E. Zakharov,
A.N. Pushkarev, Diffusion
model of interacting gravity waves on the surface of deep fluid,
Nonlin. Proc. Geophys. 6 (1) 1-10 (1999) [PDF (617 kB)]
- V.E. Zakharov, Weakly nonlinear waves
on the surface of an ideal finite depth fluid, Amer. Math. Soc.
Transl. 182 (2) 167-197 (1998) [PDF (207 kB)]
- A. Pushkarev, V. Zakharov, Turbulence
of capillary waves — theory and numerical simulation,
pp. 111-132: chapter 4 in Nonlinear Ocean Waves,
ed. W. Perrie, Advances in Fluid Mechanics 17 (WIT Press,
1997).
- V.E. Zakharov, Modeling of ocean
storms on cryogenic installations — Proceedings of the
conference on High-Reynolds turbulence (Brookhaven, 1996), ed. R.Donelly
(Springer-Verlag).
- A.I. Dyachenko, V.E. Zakharov,
E.A. Kuznetsov, Nonlinear dynamics of free surface of ideal fluid,
Fizika Plazmy ?, ?-? (1996) [Plasma Phys. Rep. 22 (10)
829-840 (1996)]: a spesial issue dedicated to memory of
V. Petviashvili.
- A.N. Pushkarev,
V.E. Zakharov, Turbulence of
capillary waves, Phys. Rev. Lett. 76 (18) 3320-3323 (1996) [PDF (144 kB)].
- V.E. Zakharov, A.I. Dyachenko, High-Jacobian
approximation in the free surface dynamics of an ideal fluid,
Physica D 98 (2-4) 652-664 (1996): in “Nonlinear Phenomena
in Ocean Dynamics” [PDF
(492 kB)].
- A.I. Dyachenko,
V.E. Zakharov, Toward an
integrable model of deep water, Phys. Lett. A 221
(1-2) 80-84 (1996) [PDF
(366 kB)].
- A.I. Dyachenko,
E.A. Kuznetsov, M.D. Spector, V.E. Zakharov, Analytical
description of the free surface dynamics of an ideal fluid (canonical formalism
and conformal mapping), Phys. Lett. A 221 (1-2) 73-79
(1996) [PDF (504 kB)].
- A.I. Dyachenko,
Y.V. Lvov, V.E. Zakharov, Five-wave
interaction on the surface of deep fluid, Physica D 87
(1-4) 233-261 (1995): in Proceedings of the Conference on The Nonlinear
Schrodinger Equation [PDF
(998 kB)].
- A.I. Dyachenko,
V.E. Zakharov, Is free surface
hydrodynamics an integrable system?, Phys. Lett. A 190
(2) 144-148 (1994) [PDF
(223 kB)].
- E.A.Kuznetsov,
M.D. Spector, V.E. Zakharov, Formation of
singularities on the free surface of an ideal fluid, Phys.
Rev. E 49 (2) 1283-1290 (1994) [PDF (1206 kB)].
- E.A. Kuznetsov,
M.D. Spector, V.E. Zakharov, Surface
singularities of ideal fluid Phys. Lett. A 182 (4-6)
387-393 (1993) [PDF
(635 kB)].
- A.C. Newell, V.E. Zakharov, Rough sea foam,
Phys. Rev. Lett. 69 (8) 1149-1151 (1992) [PDF (420 kB)].
- V.E. Zakharov, Direct and inverse
cascade in wind-driven sea and wave breaking — Proceedings of
IUTAM Meeting on Wave Breaking (Sydney, 1991), eds. M.L. Banner and
R.H.Y. Grimshaw (Springer-Verlag, Berlin, 1992), pp. 69-91.
- V.E. Zakharov, V.I. Shrira, On
the formation of the directional spectrum of wind waves, Sov. Phys.
JETP 71, 1091-1100 (1990).
- M.M. Zaslavski, V.E. Zakharov, Dependence
of wave parameters on the wind velocity, duration and its action and fetch
in the weak-turbulence theory of wind waves, Izv. Akad. Nauk SSSR Fiz.
Atm. i Okeana 19, 300-306 (1983).
- M.M. Zaslavski, V.E. Zakharov, Shape
of spectrum of energy carrying components of a water surface in the
weak-turbulence theory of wind waves, Izv. Akad. Nauk SSSR Fiz. Atm. i
Okeana 19, 207-212 (1983).
- M.M. Zaslavski, V.E. Zakharov, Ranges
for generation and dissipation in the kinetic equation for a low-turbulence
theory of wind waves, Izv. Akad. Nauk SSSR Fiz. Atm. i Okeana 18,
821-827 (1982).
- M.M. Zaslavski, V.E. Zakharov, The
kinetic equation and Kolmogorov spectra in the weak turbulence theory of
wind waves, Izv. Akad. Nauk SSSR Fiz. Atm. i Okeana 18, 747-753
(1982).
- M.M. Zaslavski, V.E. Zakharov, To
the problem of the wind-driven waving prognosis, Doclady Akad. Nauk
SSSR 256, 567 (1982).
- V.E. Zakharov, A.V. Smilga, Quasi-one-dimensional
weak turbulent spectra, Sov. Phys. JETP 54, 700-704 (1981).
- V.E. Zakharov, Instability of
monochromatic waves on the surface of an arbitrary depth fluid,
Zh. Prikl. Mekh. Tekh. Fiz. ? (5) ?-? (1970).
- V.E. Zakharov, Stability of periodic
waves of finite amplitude on the surface of a deep fluid,
Zh. Prikl. Mekh. Tekh. Fiz. 9, 86-94 (1968) [J. Appl.
Mech. Tech. Phys. 9, 190-194 (1968)].
- V.E. Zakharov, N.N. Filonenko, Weak
turbulence of capillary waves, Zh. Prikl. Mekh. Tekh. Fiz. 4
(5) 62-67 (1967) [J. Appl. Mech. Tech. Phys. 4, 506-515
(1967)].
- V.E. Zakharov, The wave stability in
nonlinear media, Sov. Phys. JETP 24, 455-459 (1967).
- V.E. Zakharov, N.N. Filonenko, The
energy spectrum for stochastic oscillations of a fluid surface,
Doclady Akad. Nauk SSSR 170, 1292-1295 (1966) [Sov. Phys. Docl. 11,
881-884 (1967).