The Minkowski dimension of boundary singular points in the Navier-Stokes equations
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Publication:2314011
DOI10.1016/j.jde.2019.05.014zbMath1419.35082arXiv1805.04724OpenAlexW2962741616WikidataQ127896606 ScholiaQ127896606MaRDI QIDQ2314011
Publication date: 25 July 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.04724
Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Maximum principles in context of PDEs (35B50) Navier-Stokes equations (35Q30)
Related Items (2)
\(\varepsilon\)-regularity criteria for the 3D Navier-Stokes equations in Lorentz spaces ⋮ Improved bounds for box dimensions of potential singular points to the Navier–Stokes equations
Cites Work
- Unnamed Item
- On the dimension of the singular set of solutions to the Navier-Stokes equations
- 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
- On the singular set in the Navier-Stokes equations
- On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations
- Regularity criteria for suitable weak solutions of the Navier-Stokes equations near the boundary
- The Minkowski dimension of interior singular points in the incompressible Navier-Stokes equations
- An estimate on the parabolic fractal dimension of the singular set for solutions of the Navier–Stokes system
- The local regularity theory for the Navier-Stokes Equations Near the Boundary
- The fractal dimension of the singular set for solutions of the Navier–Stokes system
- A new proof of the Caffarelli-Kohn-Nirenberg theorem
- Partial regularity of suitable weak solutions of the navier-stokes equations
- On the box-counting dimension of the potential singular set for suitable weak solutions to the 3D Navier–Stokes equations
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