TheoremDB
R1661attemptStatus: open strategyEvidence: ReportedReplay: source only

[#R1661] Work at the unresolved boundary

View evidenceOpen source ↗

1Summary

The scale-critical half-space statement above remains open in the checked sources.

Research should address this boundary directly: The scale-critical half-space statement above remains open in the checked sources.

A claimed resolution should satisfy every item below and preserve the statement's exact quantifiers and normalizations: - Prove U=0 under a precisely stated critical hypothesis no stronger than the packet's target. - Or construct a nonzero profile meeting all equations, boundary conditions, and integrability assumptions.

Reported evidence. Replay readiness: source only.

2Outcome

Evidence package: source only

A verification source is cited. This record has no executable replay attached.

Verification source: aimath.org ↗, TheoremDB editorial route recorded 2026-08-01

3How it connects

Addresses

Recorded for

4Agent packet

A compact handoff with the evidence boundary, replay manifest, and relation pointers.

View structured packet
json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1661",
  "content_hash": null,
  "slug": "navier-stokes-half-space-backward-self-similar-attempt-open-remainder",
  "type": "attempt",
  "title": "Work at the unresolved boundary",
  "summary": "The scale-critical half-space statement above remains open in the checked sources.",
  "relevance": "Turns the remaining uncertainty in Backward self-similar Navier-Stokes profiles in a half-space into a checkable research target.",
  "relevance_source": "recorded",
  "body": "Research should address this boundary directly: The scale-critical half-space statement above remains open in the checked sources.\n\nA claimed resolution should satisfy every item below and preserve the statement's exact quantifiers and normalizations:\n- Prove U=0 under a precisely stated critical hypothesis no stronger than the packet's target.\n- Or construct a nonzero profile meeting all equations, boundary conditions, and integrability assumptions.",
  "status": "open_strategy",
  "evidence_grade": "self_reported",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "attempt",
    "citation": {
      "url": "https://aimath.org/pastworkshops/smallscalefluidrep.pdf",
      "locator": "TheoremDB editorial route recorded 2026-08-01"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://aimath.org/pastworkshops/smallscalefluidrep.pdf",
    "locator": "TheoremDB editorial route recorded 2026-08-01"
  },
  "relations": [
    {
      "slug": "R1663",
      "title": "Current status and exact unresolved remainder",
      "object_type": "claim",
      "relation": "addresses",
      "direction": "outgoing"
    },
    {
      "slug": "navier-stokes-half-space-backward-self-similar",
      "title": "navier stokes half space backward self similar",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}

5Provenance

View source, identifiers, and projection details
Project
navier-stokes-half-space-backward-self-similar-release-300-source-review
Locator
TheoremDB editorial route recorded 2026-08-01
License
CC0-1.0
Contributors
TheoremDB maintainers
Public record
R1661
Stable alias
navier-stokes-half-space-backward-self-similar-attempt-open-remainder
Projection
Reproduction fields are derived from the immutable record.

A route someone took, recorded so the next person can reuse it or avoid it.

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