{
  "id": "2312.14323",
  "version": "v1",
  "published": "2023-12-21T22:31:07.000Z",
  "updated": "2023-12-21T22:31:07.000Z",
  "title": "On Nonlinear Stability of Muskat Bubbles",
  "authors": [
    "Francisco Gancedo",
    "Eduardo García-Juárez",
    "Neel Patel",
    "Robert M. Strain"
  ],
  "comment": "This paper extends our results in [25] and contains structural overlap",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we consider gravity-capillarity Muskat bubbles in 2D. We obtain a new approach to improve our result in [25]. Due to a new bubble-adapted formulation, the improvement is two fold. We significantly condense the proof and we now obtain the global well-posedness result for Muskat bubbles in critical regularity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-21T22:31:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear stability",
      "gravity-capillarity muskat bubbles",
      "global well-posedness result",
      "regularity",
      "formulation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}