Physics – Fluid Dynamics
Scientific paper
2006-11-22
Physics
Fluid Dynamics
13 pages, 3 figures
Scientific paper
In our previous papers we proposed a continuum model for the dynamics of the systems of self-propelling particles with conservative kinematic constraints on the velocities. We have determined a class of stationary solutions of this hydrodynamic model and have shown that two types of stationary flow, linear and radially symmetric (vortical) flow, are possible. In this paper we consider the stability properties of these stationary flows. We show, using a linear stability analysis, that the linear solutions are neutrally stable with respect to the imposed velocity and density perturbations. A similar analysis of the stability of the vortical solution is found to be not conclusive.
Bedeaux Dick
Kulinskii Vladimir L.
Ratushnaya V. I.
Zvelindovsky A. V.
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