Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations

DOI10.1088/0951-7715/14/6/303zbMath1022.35036OpenAlexW2005237069MaRDI QIDQ2758120

W. G. Price, Zhi Min Chen

Publication date: 19 October 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/14/6/303

zbMATH Keywords

Navier-Stokes equationsinterior regularityMorrey spaces

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (11)

A regularity criterion for 3D NSE in ‘dynamically restricted’ local Morrey spaces ⋮ On the local regularity theory for the magnetohydrodynamic equations ⋮ Partial regularity for the Navier-Stokes equations with a force in a Morrey space ⋮ The optimal upper and lower bounds of convergence rates for the 3D Navier-Stokes equations under large initial perturbation ⋮ The role of the pressure in the partial regularity theory for weak solutions of the Navier-Stokes equations ⋮ Logarithmically improved blow up criterion for smooth solutions to the 3D micropolar fluid equations ⋮ A note on the regularity criterion of weak solutions of Navier-Stokes equations in Lorentz space ⋮ On the partial regularity theory for the MHD equations ⋮ Regularity criteria for suitable weak solutions of the Navier-Stokes equations near the boundary ⋮ An improved pressure regularity criterion of magnetohydrodynamic equations in critical Besov spaces ⋮ Remarks on the logarithmical regularity criterion of the supercritical surface quasi-geostrophic equation in Morrey spaces

This page was built for publication: Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations