{
  "abstract": "The aim of this article is to derive a stochastic interpretation of the Water Waves equations, based on the location uncertainty principle (LU). Next, these equations are used to infer simpler models from scaling limits, such as the Saint-Venant, Boussinesq and Serre-Green-Naghdi ones. Once adapted to the stochastic setting, these models have been successfully implemented numerically, and we show several experiments to assess their properties – for example the breaking of the wave symmetry, and the influence of time correlated noises.",
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  "article_type": null,
  "arxiv": "2611.04739",
  "author_total": 1,
  "authors": [
    {
      "name": "Antoine Moneyron"
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  "bibtex": "https://research.draconitic.com/paper/b07vdyvsxava6.bib",
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  "doi": "10.48550/arxiv.2611.04739",
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  "pdf_url": "https://hal.science/hal-05848104/document",
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  "published": "2026-10-25",
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  "ris": "https://research.draconitic.com/paper/b07vdyvsxava6.ris",
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      "first_seen": "2026-11-03T12:20:17Z",
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      "url": "https://arxiv.org/abs/2611.04739"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
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      "origin": "arxiv:math-ph",
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    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
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  "title": "Stochastic interpretation of the Water Waves equations",
  "title_text": "Stochastic interpretation of the Water Waves equations",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:38Z",
  "url": "https://research.draconitic.com/paper/b07vdyvsxava6",
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