Interior and boundary regularity criteria for the 6D steady Navier-Stokes equations
DOI10.1016/j.jde.2022.10.017zbMath1501.35284arXiv2110.13791OpenAlexW3209508521MaRDI QIDQ2097022
Publication date: 11 November 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.13791
steady Navier-Stokes equationsboundary regularity criteriainterior regularity criterialocal suitable weak solutions
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Hausdorff and packing measures (28A78)
Cites Work
- Unnamed Item
- Unnamed Item
- Boundary partial regularity for the high dimensional Navier-Stokes equations
- On the interior regularity criteria and the number of singular points to the Navier-Stokes equations
- On the Liouville type theorems for self-similar solutions to the Navier-Stokes equations
- On partial regularity for the Navier-Stokes equations
- Partial regularity of solutions to the four-dimensional Navier-Stokes equations at the first blow-up time
- The Navier-Stokes equations on a bounded domain
- Partial regularity of solutions to the Navier-Stokes equations
- Hausdorff measure and the Navier-Stokes equations
- Stationary solutions to the Navier-Stokes equations in dimension four
- Gradient estimation on Navier-Stokes equations
- On the Stokes problem in Lipschitz domains
- On regularity of stationary Stokes and Navier--Stokes equations near boundary
- Boundary regularity criteria for the 6D steady Navier-Stokes and MHD equations
- The role of the pressure in the partial regularity theory for weak solutions of the Navier-Stokes equations
- Regularity for the stationary Navier-Stokes equations in bounded domains
- Existence of regular solutions to the stationary Navier-Stokes equations
- Regular solutions of the stationary Navier-Stokes equations on \(\mathbb{R}^ 5\)
- On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations
- A new regularity criterion for steady Navier-Stokes equations
- Regular solutions of the stationary Navier-Stokes equations on high dimensional Euclidean space
- A regularity criterion at one scale without pressure for suitable weak solutions to the Navier-Stokes equations
- On the local regularity of suitable weak solutions to the generalized Navier-Stokes equations
- Interior regularity criteria for suitable weak solutions of the Navier-Stokes equations
- A new proof of partial regularity of solutions to Navier-Stokes equations
- Partial regularity of solutions to the four-dimensional Navier-Stokes equations
- Boundary partial regularity for the Navier-Stokes equations
- On Wolf's regularity criterion of suitable weak solutions to the Navier-Stokes equations
- The role of the pressure in the regularity theory for the Navier-Stokes equations
- On partial regularity of steady-state solutions to the 6D Navier-Stokes equations
- Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in ℝ n
- On Boundary Regularity of the Navier–Stokes Equations
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- On partial regularity results for the navier-stokes equations
- A new proof of the Caffarelli-Kohn-Nirenberg theorem
- Partial regularity of suitable weak solutions of the navier-stokes equations
- Lectures on Navier-Stokes Equations
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