{
  "id": "2308.06001",
  "version": "v1",
  "published": "2023-08-11T08:12:18.000Z",
  "updated": "2023-08-11T08:12:18.000Z",
  "title": "Global stability of Oldroyd-B fluids in plane Couette flow",
  "authors": [
    "Joshua Binns",
    "Andrew Wynn"
  ],
  "categories": [
    "physics.flu-dyn",
    "math.AP"
  ],
  "abstract": "We prove conditions for global nonlinear stability of Oldroyd-B viscoelatic fluid flows in the Couette shear flow geometry. Global stability is inferred by analysing a new functional, called a perturbation entropy, to quantify the magnitude of the polymer perturbations from their steady-state values. The conditions for global stability extend, in a physically natural manner, classical results on global stability of Newtonian Couette flow.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-11T08:12:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76E05",
      "76A10",
      "35Q35"
    ],
    "keywords": [
      "plane couette flow",
      "oldroyd-b fluids",
      "couette shear flow geometry",
      "oldroyd-b viscoelatic fluid flows",
      "newtonian couette flow"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}