On partial regularity of suitable weak solutions to the Navier-Stokes equations in unbounded domains

DOI10.1007/s00229-007-0163-6zbMath1155.35072OpenAlexW2075980404MaRDI QIDQ1003127

Tomoyuki Suzuki

Publication date: 26 February 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-007-0163-6

zbMATH Keywords

regularityNavier-Stokes equationsweak solutionsunbounded domains

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
• Boundedness for large \(| x|\) of suitable weak solutions of the Navier-Stokes equations with prescribed velocity at infinity
• Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary
• On generalized energy equality of the Navier-Stokes equations
• On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations
• An \(L^q\)-approach to Stokes and Navier-Stokes equations in general domains
• Boundary partial regularity for the Navier-Stokes equations
• Remarks on the regularity of weak solutions to the Navier-Stokes equations near the boundary
• Elliptic boundary value problems in unbounded domains with noncompact and nonsmooth boundaries
• A new proof of the Caffarelli-Kohn-Nirenberg theorem
• Partial regularity of suitable weak solutions of the navier-stokes equations
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness

This page was built for publication: On partial regularity of suitable weak solutions to the Navier-Stokes equations in unbounded domains