{
  "abstract": "A disturbance in steady rectilinear translation along a capillary-gravity interface radiates waves only above a minimum speed $c_{min}$, where it experiences a wave resistance; below this threshold it generates no waves, and the response is merely a localised deformation of the interface around the source, free of wave resistance. Modulating the source amplitude at a frequency $Ω$ shifts the forcing to the sideband pair $kV\\pmΩ$, where $k$ is the wavenumber and $V$ is the translation speed, opening resonance conditions absent from the steady problem; radiation then sets in below the steady threshold $c_{min}$. Here we derive the mean wave resistance $\\langle R\\rangle$ of a line source in closed form, and show it to be strictly positive at every nonzero speed $V$: the drag-free below-threshold regime disappears for any $Ω\\neq 0$. Crossing the radiation transitions---where the group velocity matches the source speed---produces integrable resonant peaks in $\\langle R\\rangle$, whose exponents we derive, including at the cusp where two transition branches merge. Below threshold, where a steadily moving source feels no drag, $\\langle R\\rangle$ rises from zero as $Ω^5$ (at fixed $V$). Throughout, surface tension is essential to $\\langle R\\rangle$: because it controls the short, dominant capillary-scale waves, discarding it misrepresents $\\langle R\\rangle$ over almost the entire speed-frequency plane.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: J Fluid Mech (Rapids) 1045, R1 (2026)",
  "arxiv": "2610.15859",
  "author_total": 2,
  "authors": [
    {
      "name": "Haim Diamant"
    },
    {
      "name": "Elie Raphael"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7xyeq5xqhj5ww.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.15859",
  "fulltext_url": null,
  "id": "7xyeq5xqhj5ww",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.15859",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.flu-dyn"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.15859",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7xyeq5xqhj5ww.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2610.15859",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.15859"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Capillary-gravity wave resistance of a translating, pulsating source",
  "title_text": "Capillary-gravity wave resistance of a translating, pulsating source",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/7xyeq5xqhj5ww",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1017/jfm.2026.12145",
      "pid": "6r3nasrpgfe6b",
      "relation": "published-as",
      "title": "Capillary–gravity-wave resistance of a translating, pulsating line source",
      "venue": "Journal of Fluid Mechanics"
    }
  ]
}