{
  "id": "1808.10297",
  "version": "v1",
  "published": "2018-08-30T13:43:06.000Z",
  "updated": "2018-08-30T13:43:06.000Z",
  "title": "Energy conservation for inhomogeneous incompressible and compressible Euler equations",
  "authors": [
    "Quoc-Hung Nguyen",
    "Phuoc-Tai Nguyen",
    "Bao Quoc Tang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the conservation of energy for inhomogeneous incompressible and compressible Euler equations in a torus or a bounded domain. We provided sufficient conditions for a weak solution to conserve the energy. The spatial regularity for the density is only required to have the order of $2/3$ and when the density is constant, we recover the existing results for classical incompressible Euler equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-30T13:43:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compressible euler equations",
      "energy conservation",
      "inhomogeneous incompressible",
      "sufficient conditions",
      "weak solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}