Turbulence in three dimensions (3D) supports vortex stretching that has long been known to
accomplish energy transfer to small scales. Moreover, net energy transfer from large-scale …

This paper deals with the problem of hydrodynamic shear turbulence in non-magnetized
Keplerian disks. Several papers have appeared recently on the subject, on possible linear …

We study and elucidate the mechanism of spiral density wave excitation in a differentially
rotating flow with turbulence which could result from the magneto-rotational instability. We …

In this paper, we study the linear stability properties of perturbations around the
homogeneous Couette flow for a 2D isentropic compressible fluid in the domain T * RT× R …

We consider the nonaxisymmetric linear theory of radially stratified disks. We work in a
shearing-sheet-like approximation, in which the vertical structure of the disk is neglected …

This is a sequel to Paper I (Chagelishvili et al. 2003), where we presented the so-called
bypass concept for the onset of turbulence in shearing flows. According to this concept …

We review some aspects of a major unsolved problem in understanding astrophysical (in
particular, accretion) disks: whether the disk interiors can be effectively viscous in spite of the …

Consider the linear stability of the three dimensional (3D) isentropic compressible Navier--
Stokes equations on T*R*T. We prove the enhanced dissipation phenomenon for the …

A comprehensive assessment is made of transient and asymptotic two-dimensional
perturbation growth in compressible shear flow using unbounded constant shear and the …

We perform a detailed analytical and numerical study of the dynamics of perturbations
(vortex/aperiodic mode, Rossby and spiral-density waves) in 2D compressible disks with a …