On smoothness of \(L_{3,\infty}\)-solutions to the Navier-Stokes equations up to boundary
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Publication:1777258
DOI10.1007/s00208-004-0625-zzbMath1072.35146arXivmath/0410056OpenAlexW2071761500MaRDI QIDQ1777258
Publication date: 12 May 2005
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0410056
Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
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Cites Work
- Unnamed Item
- Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
- Hausdorff measure and the Navier-Stokes equations
- Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary
- Estimates for solutions of the nonstationary Stokes problem in anisotropic Sobolev spaces with mixed norm
- Backward uniqueness for parabolic equations
- Remarks on the regularity of weak solutions to the Navier-Stokes equations near the boundary
- A new proof of the Caffarelli-Kohn-Nirenberg theorem
- Partial regularity of suitable weak solutions of the navier-stokes equations
- On the number of singular points of weak solutions to the Navier-Stokes equations
- L3,∞-solutions of the Navier-Stokes equations and backward uniqueness