On a bounded shear flow in a half-space

DOI10.1007/s10958-011-0552-yzbMath1308.35175OpenAlexW1994054506MaRDI QIDQ476670

Vladimír Šverák, Gregory A. Seregin

Publication date: 2 December 2014

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

Full work available at URL: https://doi.org/10.1007/s10958-011-0552-y

zbMATH Keywords

Stokes systemshear flowhalf-spaceboundary estimates

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30)

Related Items (9)

Selected Topics of Local Regularity Theory for Navier–Stokes Equations ⋮ On Type I blowups of suitable weak solutions to the Navier-Stokes equations near boundary ⋮ On a toy-model related to the Navier-Stokes equations ⋮ Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space ⋮ Local Regularity Near Boundary for the Stokes and Navier–Stokes Equations ⋮ On Caccioppoli's inequalities of Stokes equations and Navier-Stokes equations near boundary ⋮ Asymptotic properties of steady plane solutions of the Navier-Stokes equations in a cone-like domain ⋮ A Liouville theorem for the Stokes system in a half-space ⋮ Liouville theorems in unbounded domains for the time-dependent stokes system

Cites Work

• Unbounded normal derivative for the Stokes system near boundary
• On the interior regularity of weak solutions of the Navier-Stokes equations
• A note on local boundary regularity for the Stokes system

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