{
  "id": "1502.06581",
  "version": "v1",
  "published": "2015-02-23T20:20:01.000Z",
  "updated": "2015-02-23T20:20:01.000Z",
  "title": "Lyapunov Exponents for Burgers' Equation",
  "authors": [
    "Alexei Kourbatov"
  ],
  "comment": "6 pages, 1 table",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We establish the existence, uniqueness, and stability of the stationary solution of the one-dimensional viscous Burgers equation with the Dirichlet boundary conditions on a finite interval. We obtain explicit formulas for solutions and analytically determine the Lyapunov exponents characterizing the asymptotic behavior of arbitrary solutions approaching the stationary one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-23T20:20:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55",
      "35B40",
      "35C05"
    ],
    "keywords": [
      "lyapunov exponents",
      "dirichlet boundary conditions",
      "one-dimensional viscous burgers equation",
      "stationary solution",
      "finite interval"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}