Some remarks about the possible blow-up for the Navier-Stokes equations

DOI10.1080/03605302.2019.1641725zbMath1428.35277arXiv1807.09939OpenAlexW2963829793WikidataQ127454347 ScholiaQ127454347MaRDI QIDQ5239045

Ping Zhang, Isabelle Gallagher, Jean-Yves Chemin

Publication date: 21 October 2019

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.09939

zbMATH Keywords

incompressible Navier-Stokes equationsanisotropic Littlewood-Paley theoryblow-up criteria

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Navier-Stokes equations for incompressible viscous fluids (76D05) Maximal functions, Littlewood-Paley theory (42B25) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Blow-up in context of PDEs (35B44)

Related Items (7)

About some possible blow-up conditions for the 3-D Navier-Stokes equations ⋮ The local regularity conditions for the Navier-Stokes equations via one directional derivative of the velocity ⋮ On Some Properties of the Curl Operator and Their Consequences for the Navier-Stokes System ⋮ Anisotropic Prodi-Serrin regularity criteria for the 3D Navier-Stokes equations involving the gradient of one velocity component ⋮ On symmetry breaking for the Navier-Stokes equations ⋮ Global well-posedness for the incompressible Navier-Stokes equations in the critical Besov space under the Lagrangian coordinates ⋮ An optimal regularity criterion for 3D Navier-Stokes equations involving the gradient of one velocity component

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