Remarks on the regularity of weak solutions to the Navier-Stokes equations near the boundary

DOI10.1007/s10958-005-0150-yzbMath1083.35098OpenAlexW1980237616MaRDI QIDQ2567749

Gregory A. Seregin

Publication date: 13 October 2005

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

Full work available at URL: https://doi.org/10.1007/s10958-005-0150-y

zbMATH Keywords

regularityNavier-Stokes equationssuitable weak solution

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items

Boundary regularity criteria for the 6D steady Navier-Stokes and MHD equations ⋮ Local regularity for suitable weak solutions of Navier-Stokes equations near the boundary ⋮ On local regularity for suitable weak solutions of the Navier-Stokes equations near the boundary ⋮ On smoothness of \(L_{3,\infty}\)-solutions to the Navier-Stokes equations up to boundary ⋮ On partial regularity of suitable weak solutions to the Navier-Stokes equations in unbounded domains ⋮ Boundary partial regularity for the Navier-Stokes equations

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
• On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations
• A new proof of the Caffarelli-Kohn-Nirenberg theorem
• Partial regularity of suitable weak solutions of the navier-stokes equations