{
  "id": "1908.05766",
  "version": "v1",
  "published": "2019-08-15T21:10:08.000Z",
  "updated": "2019-08-15T21:10:08.000Z",
  "title": "Blow-up solutions to 3D Euler are hydrodynamically unstable",
  "authors": [
    "Alexis Vasseur",
    "Misha Vishik"
  ],
  "comment": "12 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the interaction between the stability, and the propagation of regularity, for solutions to the incompressible 3D Euler equation. It is still unknown whether a solution with smooth initial data can develop a singularity in finite time. This article explains why the prediction of such a blow-up, via direct numerical experiments, is so difficult. It is described how, in such a scenario, the solution becomes unstable as time approaches the blow-up time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-15T21:10:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "blow-up solutions",
      "hydrodynamically unstable",
      "incompressible 3d euler equation",
      "smooth initial data",
      "time approaches"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}