{
  "id": "2305.10312",
  "version": "v1",
  "published": "2023-05-17T15:50:58.000Z",
  "updated": "2023-05-17T15:50:58.000Z",
  "title": "Global-in-space stability of singularity formation for Yang-Mills fields in higher dimensions",
  "authors": [
    "Irfan Glogić"
  ],
  "comment": "22 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.DG",
    "math.MP"
  ],
  "abstract": "We continue our work \\cite{Glo22a} on the analysis of spatially global stability of self-similar blowup profiles for semilinear wave equations in the radial case. In this paper we study the Yang-Mills equations in $(1+d)$-dimensional Minkowski space. For $d \\geq 5$, which is the energy supercritical case, we consider an explicitly known equivariant self-similar blowup solution and establish its nonlinear global-in-space asymptotic stability under small equivariant perturbations. The size of the initial data is measured in terms of, in a certain sense, optimal Sobolev norm above scaling. This result complements the existing stability results in odd dimensions, while for even dimensions it is new.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-17T15:50:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singularity formation",
      "yang-mills fields",
      "higher dimensions",
      "global-in-space stability",
      "equivariant self-similar blowup solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}