{
  "abstract": "We study the graphical forced mean curvature flow in a planar strip subject to Robin boundary conditions. The normal velocity is prescribed by $V=H+b$, where $b>0$ is constant and $H$ denotes the curvature of the graph. We consider positive even solutions and reduce the problem to the half interval. The main results describe the degeneration produced by the Robin condition: the height, the instantaneous velocity, and the spatial gradient diverge, while the normalized slope $u_x/u$ converges to one away from the symmetry axis. The normalized velocity $u_t/u$ converges to the forcing parameter $b$. The curvature converges to zero in the interior in an integral sense, whereas its horizontal curvature measure concentrates at the symmetry axis.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08270",
  "author_total": 4,
  "authors": [
    {
      "name": "Tianhong Pu"
    },
    {
      "name": "Xiaoqian Xin"
    },
    {
      "name": "Lixia Yuan"
    },
    {
      "name": "Xiaoyu Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/667jcdeatxnbd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08270",
  "fulltext_url": null,
  "id": "667jcdeatxnbd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08270",
  "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",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7220965845",
  "pdf_url": "https://arxiv.org/pdf/2610.08270",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/667jcdeatxnbd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.08270",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08270"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Asymptotic Dynamics of Forced Curvature Flow in a Planar Strip with Robin Boundary Conditions",
  "title_text": "Asymptotic Dynamics of Forced Curvature Flow in a Planar Strip with Robin Boundary Conditions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/667jcdeatxnbd",
  "venue": "arXiv",
  "versions": []
}