{
  "abstract": "Under suitable spatial decay assumptions on the initial data, we establish precise asymptotic expansions of the velocity and magnetic fields for two-dimensional incompressible MHD flows at each positive time. We identify in the far-field profile the hexagonal pattern previously discovered for the 2D Navier-Stokes equations by L. Brandolese \\cite{Bra22}, characterized by six equally spaced directions of faster decay for each component of $u(x,t)-u_0(x)$. Surprisingly, the corresponding contribution to the magnetic field vanishes identically, owing to an exact cancellation associated with the antisymmetric structure of the magnetic nonlinearity. Thus, at order $|x|^{-3}$, the hexagonal structure appears only in the velocity field.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01579",
  "author_total": 2,
  "authors": [
    {
      "name": "Matheus Nasi"
    },
    {
      "name": "Cilon F. Perusato"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3q8waxkxrmcz7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01579",
  "fulltext_url": null,
  "id": "3q8waxkxrmcz7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01579",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01579",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3q8waxkxrmcz7.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01579",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01579"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Spontaneous Geometric Structures in 2D MHD Flows",
  "title_text": "Spontaneous Geometric Structures in 2D MHD Flows",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/3q8waxkxrmcz7",
  "venue": "arXiv",
  "versions": []
}