Global Regularity of 3D Navier–Stokes: Helical Null-Form, Coifman–Meyer Estimate, and Compactness–Rigidity Closure in B_2,11/2

Global Regularity of 3D Navier–Stokes: Helical Null-Form, Coifman–Meyer Estimate, and Compactness–Rigidity Closure in B_2,11/2 | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 11 September 2025 V1 Latest version Share on Global Regularity of 3D Navier–Stokes: Helical Null-Form, Coifman–Meyer Estimate, and Compactness–Rigidity Closure in B_2,11/2 Author : William Tennant 0009-0008-8001-5099 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.175758858.89084851/v1 446 views 153 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract We present a complete referee-grade attempt at global regularity of the 3D incompressible Navier–Stokes equations with smooth divergence-free data. Innovations include: (i) an explicit Leray-projected helical derivation of the vortex-stretching symbol and its linear null-form factorization m =( a − b )· M with uniform bounds; (ii) a 25-term, aperture-independent near-parallel Coifman–Meyer estimate; (iii) a line-by-line derivation of M _ ( t ) and a parabolic Morawetz coercive inequality; (iv) a profile decomposition in X = B _ 2, 1 1 / 2 ; and (v) a rigidity lemma invoking Kenig-Merle small-data continuation (no backward-uniqueness input). We invite expert scrutiny of each load-bearing step. Supplementary Material File (navier_stokes_solution_v4 (23).pdf) Download 601.98 KB Information & Authors Information Version history V1 Version 1 11 September 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords besov spaces coifman-meyer global regularity helical decomposition morawetz inequality navier-stokes pde Authors Affiliations William Tennant 0009-0008-8001-5099 [email protected] Independent Researcher - View all articles by this author Metrics & Citations Metrics Article Usage 446 views 153 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation William Tennant. Global Regularity of 3D Navier–Stokes: Helical Null-Form, Coifman–Meyer Estimate, and Compactness–Rigidity Closure in B_2,11/2. Authorea . 11 September 2025. DOI: https://doi.org/10.22541/au.175758858.89084851/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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