B.
2d Turbulence, Statistical Hydrodynamics, weak turbulence
- Ergodic
theorems for 2d statistical hydrodynamics, (Rev. Math.
Physics 14 (2002), 585-600)
- Some
limiting properties of randomly forced 2d Navier-Stokes equations, with
A.Shirikyan (Proc. A Royal Soc. Edinburgh 133 (2003), 875-891)
- The
Eulerian limit for 2d statistical hydrodynamics (J. Stat. Physics 115
(2004), 469-492)
- A family
of balance relations for the two-dimensional Navier-Stokes equations
with random forcing, with O.Penrose (J. Stat. Physics 118 (2005),
437-449)
- Remarks
on the balance relations for the two-dimensional Navier-Stokes equations with random forcing (J. Stat. Physics 122 (2006), 101-114)
- Eulerian
limit for 2d Navier-Stokes equations and damped/driven KdV as its
model (Proc. Steklov Inst. 259 (2007), 128-136)
- On finite-dimensional projections of distributions for
solutions of randomly forced 2D Navier-Stokes equations, with
A.Agrachev, A.Sarychev, A.Shirikyan (Ann.Inst Poincare, Prob. Stat. 43
(2007), 399-415)
- On the
random kick-forced 3d Navier-Stokes equations in a thin domain, with I.
Chuyeshov (ARMA 188 (2008), 117-153)
- Stochastic
3d Navier-Stokes equations in a thin domain and their
alpha-approximation, with I. Chuyeshov (Physica D 237 (2008),
1352-1367)
- On
distribution of energy and vorticity for solutions of 2d Navier-Stokes
equations with small viscosity (Comm. Math. Physics 284 (2008),
407-424)
- Resonant averaging for small solutions of stochastic NLS equations,
with A. Maiocchi (Proc. A RSE (2017), to appear)
- Derivation of a wave kinetic equation from the the
resonant-averaged stochastic NLS equation,
with A. Maiocchi (Physica D 309 (2015), 65-70)
- Resonant averaging for weakly nonlinear stochastic
Schrodinger equations
(Seminar Laurent Schwartz - EDP et applications (2013-2014), Exp. 9)
- The limit of small Rossby numbers for randomly forced quasi-geostrophic equation
on beta-plane, with A. Maiocchi (Nonlineariry 28 (2015), 2319-2341)
- The effective equation method, with A. Maiocchi
(in ``New Approaches to Nonlinear Waves'', Springer, E.Tobisch ed. (2015), 21-41)
- Time-averaging for weakly nonlinear CGL equations with arbitrary
potential, with G. Huang and A. Maiocchi (Fields Institute Communications 75
(2015))
- Rigorous results in space-periodic two-dimensional
turbulence, with A, Shirikyan (preprint
(2017))