On A Regularity Criterion Up to The Boundary for Weak Solutions of The Navier–Stokes Equations

DOI10.1080/03605309208820841zbMath0752.35050OpenAlexW1517637473MaRDI QIDQ3989236

Shuji Takahashi

Publication date: 28 June 1992

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309208820841

zbMATH Keywords

localisationlinear nonstationary Stokes system

Mathematics Subject Classification ID

Related Items (12)

On Boundary Regularity of the Navier–Stokes Equations ⋮ New version of the Ladyzhenskaya–Prodi–Serrin condition ⋮ Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations ⋮ The boundary regularity of a weak solution of the Navier-Stokes equation and its connection to the interior regularity of pressure. ⋮ Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space ⋮ Regularity criterion in terms of \textit{BMO}-type norm of the pressure gradient for the Navier-Stokes equations on unbounded domains ⋮ Pressure representation and boundary regularity of the Navier-Stokes equations with slip boundary condition ⋮ On regularity criteria for the \(n\)-dimensional Navier-Stokes equations in terms of the pressure ⋮ On the Poincaré-Bogovski lemma on differential forms ⋮ A Regularity Criterion for the Navier–Stokes Equations ⋮ On the Interior Regularity of Suitable Weak Solutions to the Navier–Stokes Equations ⋮ Boundary regularity of weak solutions of the Navier-Stokes equations

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