{
  "abstract": "In this paper we consider the problem of identifying the bottom-boundary of an ocean basin, particularly in the coastal region where shallow-water theory applies. In particular we develop an observer-based approach of identifying the bottom-boundary profile from measurements of the free-surface. In particular, we prove that the true profile can be obtained by minimising the long-time observation-error as computed from the observer equations associated with a class of linear dispersive shallow water-wave models. We provide an explicit easy-to-implement observer design guaranteeing convergence. Numerical simulations indicate the same optimisation problem can recover the true profile for the nonlinear versions of same dispersive water-wave models.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01738",
  "author_total": 2,
  "authors": [
    {
      "name": "Vishal Neeraje"
    },
    {
      "name": "Vishal Vasan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f96dw18qpcw6j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01738",
  "fulltext_url": null,
  "id": "f96dw18qpcw6j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01738",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01738",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f96dw18qpcw6j.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01738",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01738"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Bottom-boundary identification using asymptotic observers in dispersive shallow-water models",
  "title_text": "Bottom-boundary identification using asymptotic observers in dispersive shallow-water models",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/f96dw18qpcw6j",
  "venue": "arXiv",
  "versions": []
}