Critical regularity criteria for Navier–Stokes equations in terms of one directional derivative of the velocity

DOI10.1002/mma.7097zbMath1469.35168arXiv2007.10888OpenAlexW3112088212MaRDI QIDQ5004247

Hui Chen, Daoyuan Fang, Ting Zhang

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.10888

zbMATH Keywords

regularityNavier-Stokes equationsProdi-Serrin conditionsone directional derivativethe decomposition of velocity

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)

Related Items (5)

Serrin-type regularity criteria for the 3D MHD equations via one velocity component and one magnetic component ⋮ Some new regularity criteria for the Navier-Stokes equations in terms of one directional derivative of the velocity field ⋮ An anisotropic regularity condition for the 3D incompressible Navier-Stokes equations for the entire exponent range ⋮ Prodi-Serrin condition for 3D Navier-Stokes equations via one directional derivative of velocity ⋮ A survey of geometric constraints on the blowup of solutions of the Navier-Stokes equation

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