{
  "id": "1506.05743",
  "version": "v1",
  "published": "2015-06-18T16:39:43.000Z",
  "updated": "2015-06-18T16:39:43.000Z",
  "title": "\"Irregularization\" of Systems of Conservation Laws",
  "authors": [
    "Hunter Swan",
    "Woosong Choi",
    "Stefanos Papanikolaou",
    "Matthew Bierbaum",
    "Yong S. Chen",
    "James P. Sethna"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We explore new ways of regulating defect behavior in systems of conservation laws. Contrary to usual regularization schemes (such as a vanishing viscosity limit), which attempt to control defects by making them smoother, our schemes result in defects which are \\textit{more singular}, and we thus refer to such schemes as \"irregularizations\". In particular, we seek to produce \\textit{delta shock} defects which satisfy a condition of \\textit{stationarity}. We are motivated to pursue such exotic defects by a physical example arising from dislocation dynamics in materials physics, which we describe.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-18T16:39:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conservation laws",
      "irregularization",
      "usual regularization schemes",
      "regulating defect behavior",
      "materials physics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}