The paper establishes a coarse-grained resolution inequality Psi(r) <= 4 Psi^ell(r) + 4 Omega^ell(r) and a fixed-chain depletion theorem for combined pressure-flux work in the Navier-Stokes CKN setting.
Finite-Window Local-to-Clean Transfer and Anti-Phantom Detection for Sharp Navier-Stokes Packages
2 Pith papers cite this work. Polarity classification is still indexing.
abstract
We prove a fixed finite-window structural theorem for sharp localized Navier-Stokes packages, formulated as both a local-to-clean detection theorem and an anti-phantom principle. The result addresses whether a defect visible in the baseline quotient geometry can disappear after pressure-tail enrichment, residual transfer, quotienting, and clean-to-local detector comparison. Under synchronized representatives, baseline-to-tail visibility, component comparison, residual-ledger closure, detector comparison, chart visibility, and a clean quotient gap, any baseline-visible defect is either detected by the localized detector or charged to an explicit quotient-residual ledger. Quantitatively, M_Lambda^loc(D-zeta_*) >= c_{Lambda,0} Dist_{loc,intg,0}(D,Gamma^{intg}*{Lambda,adm}) - E^{quot}*{Lambda,0}(D). The proof assembles three modules: pressure-tail visibility, componentwise residual-ledger closure, and detector comparison. The anti-phantom interpretation is that a baseline-visible defect cannot be simultaneously detector-silent and residual-cheap. We also record provenance for the imported quotient interface, finite-dimensional pressure-tail models, explicit matrix realizations of the structural inputs, NS-generated coordinate realizability, compactness criteria for clean pressure images, and reduced pressure/tax kernel-free criteria.
fields
math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Audit of Navier-Stokes obstruction calculus shows existing decompositions locate CKN badness transport but lack coercive estimates, proving a resolution lemma and identifying the need for a filtered stretching-diffusion estimate with subgrid terms.
citing papers explorer
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Coarse-Grained Resolution and Pressure-Flux Work Depletion for Navier-Stokes CKN Badness
The paper establishes a coarse-grained resolution inequality Psi(r) <= 4 Psi^ell(r) + 4 Omega^ell(r) and a fixed-chain depletion theorem for combined pressure-flux work in the Navier-Stokes CKN setting.
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A Structural Audit of Navier-Stokes Obstruction Calculus
Audit of Navier-Stokes obstruction calculus shows existing decompositions locate CKN badness transport but lack coercive estimates, proving a resolution lemma and identifying the need for a filtered stretching-diffusion estimate with subgrid terms.