On the geometric regularity conditions for the 3D Navier-Stokes equations

DOI10.1016/j.na.2016.10.024zbMath1358.35089arXiv1606.08126OpenAlexW2963941962MaRDI QIDQ504375

Jihoon Lee, Donghao Chae

Publication date: 16 January 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.08126

zbMATH Keywords

Navier-Stokes equationsregularity conditionsuitable weak solution

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) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44)

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Cites Work

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• On the interior regularity of weak solutions of the Navier-Stokes equations
• On the regularity conditions for the Navier-Stokes and related equations
• On the regularity of the solutions to the 3D Navier-Stokes equations: a remark on the role of the helicity
• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
• The Beltrami spectrum for incompressible fluid flows
• Hausdorff measure and the Navier-Stokes equations
• On the regularizing effect of the vorticity direction in incompressible viscous flows
• Localization of analytic regularity criteria on the vorticity and balance between the vorticity magnitude and coherence of the vorticity direction in the 3D NSE
• Un teorema di unicita per le equazioni di Navier-Stokes
• Notes on the geometric regularity criterion of 3D Navier-Stokes system
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Some geometric constraints and the problem of global regularity for the Navier–Stokes equations
• Interior regularity of weak solutions of the time-dependent Navier-Stokes equation
• Partial regularity of suitable weak solutions of the navier-stokes equations
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• A geometric measure-type regularity criterion for solutions to the 3D Navier–Stokes equations
• On the Interior Regularity of Suitable Weak Solutions to the Navier–Stokes Equations
• On the regularity conditions of suitable weak solutions of the 3D Navier-Stokes equations