{
  "abstract": "We study the viscous Burgers equation with a family of initial data having infinite mass. After rescaling, the solution converges toward a bounded discontinuous profile in the long-time limit. Moreover, by changing the scale near the discontinuity point again, we find a new profile that is also discontinuous. This process can be repeated an arbitrary number of times.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2406.10874",
  "author_total": 2,
  "authors": [
    {
      "name": "Nicola de Nitti"
    },
    {
      "name": "Eliot Pacherie"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1ynpqet5k28bs.bib",
  "cited_by": 0,
  "doi": "10.1177/09217134261469833",
  "fulltext_url": null,
  "id": "1ynpqet5k28bs",
  "issns": [
    "0921-7134",
    "1875-8576"
  ],
  "landing_url": "https://hal.science/hal-05764049v1",
  "language": "en",
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "openalex",
      "2604|Navier-Stokes equation solutions"
    ]
  ],
  "openalex": "W4399794627",
  "pdf_url": "https://hal.science/hal-05764049/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-01",
  "publisher": "IOS Press",
  "ris": "https://research.draconitic.com/paper/1ynpqet5k28bs.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "hal-05764049",
      "source": "hal",
      "url": "https://hal.science/hal-05764049v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "NESTED DISCONTINUOUS ASYMPTOTIC PROFILES FOR THE VISCOUS BURGERS EQUATION WITH INFINITE MASS",
  "title_text": "NESTED DISCONTINUOUS ASYMPTOTIC PROFILES FOR THE VISCOUS BURGERS EQUATION WITH INFINITE MASS",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/1ynpqet5k28bs",
  "venue": "Asymptotic Analysis",
  "versions": []
}