{
  "abstract": "We study the long-time dynamics near Couette flow for the 2D Euler equations in unbounded geometries. We identify a mechanism of nonlinear inviscid damping at Yudovich regularity, distinct from classical phase mixing: velocity decay driven by spatial evacuation of vorticity. The mechanism leads to a geometry-sign classification of the dynamics. In the infinite channel, small nonnegative bounded-vorticity perturbations undergo global damping without derivative assumptions. In the whole plane, small nonnegative perturbations exhibit enhanced dispersion and velocity damping, while non-positive perturbations remain confined and do not damp, even when arbitrarily small in Gevrey classes. Moreover, damping can coexist with infinite-time growth of vorticity derivatives, even under arbitrary shear modulation. The classification is obtained through an interplay between new Lyapunov functionals and Hamiltonian conservation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.24840",
  "author_total": 2,
  "authors": [
    {
      "name": "Dengjun Guo"
    },
    {
      "name": "Xiaoyutao Luo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/93az4t9knzmk2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.24840",
  "fulltext_url": null,
  "id": "93az4t9knzmk2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.24840",
  "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|Navier-Stokes equation solutions"
    ]
  ],
  "openalex": "W7204263462",
  "pdf_url": "https://arxiv.org/pdf/2608.24840",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/93az4t9knzmk2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2608.24840",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.24840"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Inviscid damping without derivatives near Couette flow",
  "title_text": "Inviscid damping without derivatives near Couette flow",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/93az4t9knzmk2",
  "venue": "arXiv",
  "versions": []
}