{
  "annotation_id": "815cf2d5-ba68-4838-b03f-e3b1c181d41f",
  "date_created": "2026-03-02T18:01:14.220000Z",
  "date_modified": "2026-03-02T18:01:14.220000Z",
  "file_hash": "11f24cfcbf6059fd7c0a611f19306f47aadf6f079aef6bbfe2b4c926abed6683",
  "private": false,
  "record": {
    "abstract": "In our previous papers we proposed a continuum model for the dynamics of the\nsystems of self-propelling particles with conservative kinematic constraints on\nthe velocities. We have determined a class of stationary solutions of this\nhydrodynamic model and have shown that two types of stationary flow, linear and\nradially symmetric (vortical) flow, are possible. In this paper we consider the\nstability properties of these stationary flows. We show, using a linear\nstability analysis, that the linear solutions are neutrally stable with respect\nto the imposed velocity and density perturbations. A similar analysis of the\nstability of the vortical solution is found to be not conclusive.",
    "arxiv_id": "physics/0611210",
    "authors": [
      "V. I. Ratushnaya",
      "D. Bedeaux",
      "V. L. Kulinskii",
      "A. V. Zvelindovsky"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1088/1751-8113/40/10/021",
    "title": "Stability properties of the collective stationary motion of   self-propelling particles with conservative kinematic constraints",
    "url": "https://arxiv.org/abs/physics/0611210"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "778ba3fb-7755-4a9a-9bc6-cdb960ea9cd8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}