{
  "id": "1711.04488",
  "version": "v1",
  "published": "2017-11-13T09:25:59.000Z",
  "updated": "2017-11-13T09:25:59.000Z",
  "title": "Weak-Strong Uniqueness for Navier-Stokes/Allen-Cahn system",
  "authors": [
    "Radim Hošek",
    "Václav Mácha"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The coupled Navier-Stokes/Allen-Cahn system is a simple model to describe phase separation in two-component systems interacting with an incompressible fluid flow. We demonstrate the \\emph{weak-strong uniqueness} result for this system in a bounded domain in three spatial dimensions which implies that when a strong solution exists then a weak solution emanating from the same data coincides with the strong solution on its whole life-span. The proof of given assertion relies on a form of a relative entropy method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-13T09:25:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A02",
      "35B65"
    ],
    "keywords": [
      "weak-strong uniqueness",
      "strong solution",
      "two-component systems",
      "incompressible fluid flow",
      "coupled navier-stokes/allen-cahn system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}