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  "problem_id": "vibemathed:jauslin-kreiss-moser-vanishing-viscosity",
  "title": "The Jauslin-Kreiss-Moser Vanishing-Viscosity Selection Problem",
  "canonical_statement": "For the ergodic problem $\\tfrac12|D\\varphi^\\varepsilon|^2 + F(x) - \\varepsilon\\Delta\\varphi^\\varepsilon = c(\\varepsilon)$ on the torus, normalized by $\\varphi^\\varepsilon(0) = 0$, Jauslin, Kreiss and Moser asked whether the vanishing-viscosity limit $\\lim_{\\varepsilon \\to 0}\\varphi^\\varepsilon$ always exists. It need not: there is a one-dimensional example with $F \\in C^3$ for which the limit fails to exist.",
  "plain_summary": "VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.",
  "current_status": "resolved",
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      "type": "disproved",
      "status": "resolved",
      "occurred_at": "2026-05-11T00:00:00.000Z",
      "title": "arXiv:2605.10478 - Nonexistence of vanishing-viscosity limits for mechanical Hamiltonian ergodic problems",
      "summary": "VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.",
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      "model": "ChatGPT",
      "provider": "OpenAI",
      "attempted_at": "2026-05-11T00:00:00.000Z",
      "human_collaborators": [
        "Ziran Liu",
        "Hung V. Tran",
        "Yifeng Yu"
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      "peer_review": "none",
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      "label": "arXiv:2605.10478 - Nonexistence of vanishing-viscosity limits for mechanical Hamiltonian ergodic problems",
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    {
      "label": "VibeMathed: The Jauslin-Kreiss-Moser Vanishing-Viscosity Selection Problem",
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    "VibeMath has not independently verified the mathematical claim.",
    "AI-attempt independence and training-data exposure are unknown unless explicitly documented.",
    "VibeMath has not independently audited the mathematical statement, proof, or novelty claim."
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  "generated_at": "2026-09-13T16:28:40.178Z"
}