{
  "id": "1809.03963",
  "version": "v1",
  "published": "2018-09-11T15:14:55.000Z",
  "updated": "2018-09-11T15:14:55.000Z",
  "title": "Curved fronts in a shear flow: case of combustion nonlinearities",
  "authors": [
    "Mohammad El Smaily"
  ],
  "comment": "1 figure",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove the existence and uniqueness, up to a shift in time, of curved traveling fronts for a reaction-advection-diffusion equation with a combustion-type nonlinearity. The advection is through a shear flow $q$. This analyzes, for instance, the shape of flames produced by a Bunsen burner in the presence of advection. We also give a formula for the speed of propagation of these conical fronts in terms of the well-known speed of planar pulsating traveling waves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-11T15:14:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B40",
      "35B50",
      "35J60"
    ],
    "keywords": [
      "shear flow",
      "combustion nonlinearities",
      "curved fronts",
      "reaction-advection-diffusion equation",
      "combustion-type nonlinearity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}