Boundary partial regularity for the high dimensional Navier-Stokes equations

DOI10.1016/j.jfa.2014.08.001zbMath1300.35070arXiv1309.3348OpenAlexW2006426474WikidataQ60138095 ScholiaQ60138095MaRDI QIDQ457595

Hongjie Dong, Xumin Gu

Publication date: 29 September 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3348

zbMATH Keywords

Navier-Stokes equationspartial regularityboundary estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Hausdorff and packing measures (28A78)

Related Items

Partial regularity of solutions to the fractional Navier-Stokes equations, Regular solutions of the stationary Navier-Stokes equations on high dimensional Euclidean space, Boundary regularity criteria for the 6D steady Navier-Stokes and MHD equations, Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space, Local \(\varepsilon\)-regularity criteria for the five dimensional stationary Navier-Stokes equations, Localised necessary conditions for singularity formation in the Navier-Stokes equations with curved boundary, Interior and boundary regularity for the Navier-Stokes equations in the critical Lebesgue spaces, Localized smoothing for the Navier-Stokes equations and concentration of critical norms near singularities, Solutions for stationary Navier-Stokes equations with non-homogeneous boundary conditions in symmetric domains of \(\mathbb{R}^n\), Weighted energy estimates for the incompressible Navier-Stokes equations and applications to axisymmetric solutions without swirl, Boundary $\varepsilon$-Regularity Criteria for the Three-dimensional Navier--Stokes Equations, Interior and boundary regularity criteria for the 6D steady Navier-Stokes equations, Localized smoothing and concentration for the Navier-Stokes equations in the half space, Regularity criteria for suitable weak solutions to the four dimensional incompressible magneto-hydrodynamic equations near boundary

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