{
  "id": "1802.02453",
  "version": "v1",
  "published": "2018-02-06T10:17:32.000Z",
  "updated": "2018-02-06T10:17:32.000Z",
  "title": "A Posteriori Error Estimates for Non-Stationary Non-Linear Convection-Diffusion Equations",
  "authors": [
    "Rüdiger Verfürth"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1402.5892",
  "categories": [
    "math.NA"
  ],
  "abstract": "Motivated by stochastic convection-diffusion problems we derive a posteriori error estimates for non-stationary non-linear convection-diffusion equations acting as a deterministic paradigm. The problem considered here neither fits into the standard linear framework due to its non-linearity nor into the standard non-linear framework due to the lacking differentiability of the non-linearity. Particular attention is paid to the interplay of the various parameters controlling the relative sizes of diffusion, convection, reaction, and non-linearity (noise).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-06T10:17:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N30",
      "65N15",
      "65J10"
    ],
    "keywords": [
      "posteriori error estimates",
      "non-stationary non-linear convection-diffusion equations acting",
      "standard non-linear framework",
      "stochastic convection-diffusion problems",
      "non-linearity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}