{
  "abstract": "We prove the existence of infinite time bubble tower solutions for energy critical $k$-equivariant Schrödinger maps $\\mathbb{R}^2\\to \\mathbb{S}^2$ with $k\\geq 3$. More precisely, for any integers $k\\geq 3$ and $N\\geq 1$, we construct a $k$-equivariant solution that is global in one time direction and decomposes asymptotically into a superposition of $N$ bubbles with scales $λ_j(t)\\sim|t|^{-β_j}$, where $β_j=\\frac{1}{2}\\left(\\left(\\frac{k}{k-2}\\right)^{N-j}-1\\right)$. Our approach is a backward construction combined with modulation analysis and high order energy estimates. We use Darboux coordinates adapted to the multi bubble profile to express the remainder in a complex scalar form. A key ingredient is the construction of a correction that cancels the leading effect of the nonlinear defect.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.05075",
  "author_total": 1,
  "authors": [
    {
      "name": "Yuchen Yin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/36dgncsb93d9e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.05075",
  "fulltext_url": null,
  "id": "36dgncsb93d9e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.05075",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2610|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7220671173",
  "pdf_url": "https://arxiv.org/pdf/2610.05075",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/36dgncsb93d9e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.05075",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.05075"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Construction of infinite time bubble tower solutions for energy critical equivariant Schrödinger maps",
  "title_text": "Construction of infinite time bubble tower solutions for energy critical equivariant Schrödinger maps",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/36dgncsb93d9e",
  "venue": "arXiv",
  "versions": []
}