{
  "id": "1808.02598",
  "version": "v1",
  "published": "2018-08-08T01:56:46.000Z",
  "updated": "2018-08-08T01:56:46.000Z",
  "title": "Linear Stability Analysis of the Relativistic Vlasov-Maxwell System in an Axisymmetric Domain",
  "authors": [
    "Zhiyuan Zhang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the plasma confined in a general axisymmetric spatial domain with perfect conducting boundary which reflects particles specularly, and look at a certain class of equilibria, assuming axisymmetry in the problem. We prove a sharp criterion of spectral stability under these settings. Moreover, we provide several explicit families of stable/unstable equilibria using this criterion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-08T01:56:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "linear stability analysis",
      "relativistic vlasov-maxwell system",
      "axisymmetric domain",
      "general axisymmetric spatial domain",
      "explicit families"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}