[#R1661] Work at the unresolved boundary
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
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
- claim
Recorded for
- problem
4Agent packet
A compact handoff with the evidence boundary, replay manifest, and relation pointers.
View structured packet
{
"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
- Source
- aimath.org ↗
- 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.