A note on local boundary regularity for the Stokes system

DOI10.1007/s10958-010-9847-7zbMath1288.35376OpenAlexW2026612406MaRDI QIDQ2451642

Gregory A. Seregin

Publication date: 4 June 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-010-9847-7

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30)

Related Items (10)

Local interior regularity for the 3D MHD equations in nonendpoint borderline Lorentz space ⋮ Global weak solutions of the Navier-Stokes equations for intermittent initial data in half-space ⋮ Rescalings at possible singularities of Navier–Stokes equations in half-space ⋮ On Type I blowups of suitable weak solutions to the Navier-Stokes equations near boundary ⋮ Local \(\varepsilon\)-regularity criteria for the five dimensional stationary Navier-Stokes equations ⋮ Boundary partial regularity for the high dimensional Navier-Stokes equations ⋮ On a bounded shear flow in a half-space ⋮ A note on weak solutions to the Navier–Stokes equations that are locally in 𝐿_{∞}(𝐿^{3,∞}) ⋮ 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

Cites Work

• Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary
• Some estimates near the boundary for solutions to the nonstationary linearized Navier-Stokes equations

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