27 citations · 93 across the 19 of their papers we have counts for
19 papers
A radial basis of massless potential-density pairs
E. V. Polyachenko, I. G. Shukhman
In the matrix method for linear perturbations of spherical stellar systems, the perturbed potential and density are expanded over a set of potential-density pairs. For radial pertu…
Two sets of potential-density basis pairs for the study of radial perturbations in collisionless spherical stellar systems
E. V. Polyachenko, I. G. Shukhman
The Kalnajs matrix method is a widely used framework for studying the global linear stability and possible Landau damping of collisionless stellar systems. However, for radial pert…
A generalized linear matrix method for normal modes in collisionless stellar disks
Evgeny V. Polyachenko, Ilia G. Shukhman
We generalize the linear matrix method for computing normal modes in collisionless stellar disks to distribution functions with sharp edges at zero angular momentum (). The ge…
Landau damping of disturbances in nearly inviscid inflectional shear flows
Evgeny V. Polyachenko, Ilia G. Shukhman, Michael Karp
We investigate the structure of damped two-dimensional perturbations in unstable plane-parallel shear flows with an inflection point. In inviscid flows within the stable wavenumber…
Eigenvalues and Eigenfunctions of Landau Damping Oscillations in Very Weakly Collisional Plasma
Evgeny V. Polyachenko, Ilia G. Shukhman
Landau-damped oscillations in collisionless plasmas, described by van Kampen and Case, are quasi-modes, representing a continuous superposition of singular eigenfunctions, not true…
Dynamics of stellar systems with collisions: eigenvalues and eigenfunctions in nearly collisionless limit
Evgeny V. Polyachenko, Ilia G. Shukhman
We examine the decay of perturbations in an infinite homogeneous self-gravitating model with a Maxwellian distribution function (DF) when weak collisions are present. In collisionl…