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Global existence of smooth solutions to the Navier-Stokes equations for initial data with infinite energy HVZW77G66Z

URIm2://res/HVZW77G66Z
Kindpreprint
CreatorsAlexey Cheskidov, Hedong Hou
Date2026-10-13
MSC35-XX
Subjectsarxiv math.AP
Scopein

Expressions

e1: version, preprint

Languageen
Date2026-10-13
IdsarXiv 2610.18797, zbl_id 903211273

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

ItemKindWhereSource
Characterization of initial data for weak solutionsstatementtheorem 1.5arxiv
Decomposition of $S$ in $H^{1-s}$statementlemma 3.2arxiv
Continuitystatementproposition 1.8arxiv
Weak solutionsdefinitiondefinition 1.2arxiv
Linear estimatesstatementlemma 5.1arxiv
81XXDKFCW7statementtheorem 1.1arxiv
Estimates on the cascade blocksstatementproposition 2.2arxiv
Global existence of weak solutionsstatementtheorem 1.3arxiv
Main constructionstatementproposition 3.1arxiv
Estimates on the blocksstatementlemma 4.2arxiv
Approximate solutionstatementproposition 4.1arxiv
Choice of $\gamma$ and $\epsilon_k$statementlemma 4.3arxiv
Decomposition of $S$ in $L^1$statementlemma 3.4arxiv
Construction of $v$statementlemma 4.4arxiv
N7C22FY8NHstatementproposition 5.2arxiv
Sharpness in Besov and Triebel-Lizorkin spacesstatementcorollary 1.6arxiv
RA575N1356statementcorollary 4.5arxiv
Refined layer-cake decompositionstatementlemma 3.6arxiv
Gauge functiondefinitiondefinition 3.3arxiv
Geometric lemmastatementlemma 2.1arxiv

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