The end-point regularity criterion for the Navier-Stokes equations in terms of \(\partial_3 u\)

DOI10.1016/j.nonrwa.2020.103120zbMath1451.35115OpenAlexW3016999679MaRDI QIDQ2208727

Zdeněk Skalák

Publication date: 4 November 2020

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103120

zbMATH Keywords

Navier-Stokes equationsanisotropic Lebesgue spacesanisotropic version of Troisi inequalityoptimal regularity criteria

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Cites Work

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• Sufficient conditions for the regularity to the 3D Navier-Stokes equations
• Un teorema di unicita per le equazioni di Navier-Stokes
• Teoremi di inclusione per spazi di Sobolev non isotropi
• The Three-Dimensional Navier–Stokes Equations
• Navier-Stokes equations with regularity in one direction

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