{
  "id": "1409.5509",
  "version": "v1",
  "published": "2014-09-19T03:48:19.000Z",
  "updated": "2014-09-19T03:48:19.000Z",
  "title": "A discontinuous Galerkin method on kinetic flocking models",
  "authors": [
    "Changhui Tan"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "We study kinetic representations of flocking models. They arise from agent-based models for self-organized dynamics, such as Cucker-Smale and Motsch-Tadmor models. We prove flocking behavior for the kinetic descriptions of flocking systems, which indicates a concentration in velocity variable in infinite time. We propose a discontinuous Galerkin method to treat the asymptotic $\\delta$-singularity, and construct high order positive preserving scheme to solve kinetic flocking systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-19T03:48:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65M60",
      "92C45"
    ],
    "keywords": [
      "discontinuous galerkin method",
      "kinetic flocking models",
      "study kinetic representations",
      "high order positive preserving scheme",
      "flocking systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.5509T"
    }
  }
}