Global existence and uniqueness theorem for 3D-Navier-Stokes system on \(\mathbb T^3\) for small initial conditions in the spaces \(\Phi(\alpha)\)

DOI10.4310/PAMQ.2008.v4.n1.a2zbMath1146.35074OpenAlexW2319781909MaRDI QIDQ930803

M. D. Arnold, Yakov G. Sinai

Publication date: 1 July 2008

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/pamq.2008.v4.n1.a2

zbMATH Keywords

uniquenessCauchy problemglobal existenceNavier-Stokes system

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45)

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