30 citations · 143 across the 11 of their papers we have counts for
11 papers
Effects of turbulent environment on the surface roughening: The Kardar-Parisi-Zhang model coupled to the stochastic Navier-Stokes equation
N. V. Antonov, N. M. Gulitskiy, P. I. Kakin +1
The Kardar-Parisi-Zhang model of non-equilibrium critical behaviour (kinetic surface roughening) with turbulent motion of the environment taken into account is studied by the field…
Renormalization Group in the Problem of Active Scalar Advection
N. V. Antonov, M. M. Kostenko
The field theoretic renormalization group (RG) is applied to the model of a near-equilibrium fluid coupled to a scalar field (like temperature or density of an impurity) which is a…
Advection by Compressible Turbulent Flows: Renormalization Group Study of Vector and Tracer Admixture
N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko +1
Advection-diffusion problems of magnetic field and tracer field are analyzed using the field theoretic perturbative renormalization group. Both advected fields are considered to be…
Passive advection of a vector field: effects of strong compressibility
Nikolay V. Antonov, Nikolay M. Gulitskiy, Maria M. Kostenko +1
The field theoretic renormalization group and the operator product expansion are applied to the stochastic model of a passively advected vector field. The advecting velocity field…
Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near
N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko +1
The renormalization group approach and the operator product expansion technique are applied to the model of a tracer field advected by the Navier-Stokes velocity ensemble for a com…
Statistical symmetry restoration in fully developed turbulence: Renormalization group analysis of two models
N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko +1
In this paper we consider the model of incompressible fluid described by the stochastic Navier-Stokes equation with finite correlation time of a random force. Inertial-range asympt…