{
  "id": "math/0603080",
  "version": "v2",
  "published": "2006-03-03T11:52:14.000Z",
  "updated": "2006-03-06T20:11:32.000Z",
  "title": "On similarity solutions for boundary layer flows with prescribed heat flux",
  "authors": [
    "B. Brighi",
    "J. -D. Hoernel"
  ],
  "comment": "v2: new page-setting",
  "journal": "Mathematical Methods in the Applied Sciences, vol. 28, 4, 2005, pp. 479-503",
  "categories": [
    "math.CA"
  ],
  "abstract": "This paper is concerned with existence, uniqueness and behavior of the solutions of the autonomous third order nonlinear differential equation $f'''+(m+2)ff''-(2m+1)f'^2=0$ on $\\mathbb{R}^+$ with the boundary conditions $f(0)=-\\gamma$, $f'(\\infty)=0$ and $f''(0)=-1$. This problem arises when looking for similarity solutions for boundary layer flows with prescribed heat flux. To study solutions we use some direct approach as well as blowing-up coordinates to obtain a plane dynamical system.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-03-06T20:11:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34B15",
      "34C11",
      "76D10"
    ],
    "keywords": [
      "boundary layer flows",
      "prescribed heat flux",
      "similarity solutions",
      "third order nonlinear differential equation",
      "autonomous third order nonlinear differential"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1002/mma.578",
      "journal": "Mathematical Methods in the Applied Sciences",
      "year": 2005,
      "month": "Mar",
      "volume": 28,
      "number": 4,
      "pages": 479
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005MMAS...28..479B"
    }
  }
}