Regularity conditions for suitable weak solutions of the Navier-Stokes system from its rotation form

DOI10.2140/pjm.2017.288.189zbMath1364.35243OpenAlexW2606478454MaRDI QIDQ523425

Yan Qing Wang, Chang Xing Miao

Publication date: 21 April 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2017.288.189

zbMATH Keywords

regularityNavier-Stokes equationsrotationsuitable weak solutionsBernoulli pressure

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30)

Related Items

Remarks on the singular set of suitable weak solutions for the three-dimensional Navier-Stokes equations

Cites Work

• Local regularity criteria of the 3D Navier-Stokes and related equations
• On the interior regularity criteria and the number of singular points to the Navier-Stokes equations
• Anisotropic regularity conditions for the suitable weak solutions to the 3D Navier-Stokes equations
• On the rotation and skew-symmetric forms for incompressible flow simulations
• Partial regularity of solutions to the four-dimensional Navier-Stokes equations at the first blow-up time
• On the accuracy of the rotation form in simulations of the Navier-Stokes equations
• The Navier-Stokes equations on a bounded domain
• Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
• Partial regularity of solutions to the Navier-Stokes equations
• Hausdorff measure and the Navier-Stokes equations
• On Leray's self-similar solutions of the Navier-Stokes equations satisfying local energy estimates
• Gradient estimation on Navier-Stokes equations
• Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary
• On Leray's self-similar solutions of the Navier-Stokes equations
• A sufficient condition on the pressure for the regularity of weak solutions to the Navier-Stokes equations
• Navier-Stokes equations with lower bounds on the pressure
• Regularity for the stationary Navier-Stokes equations in bounded domains
• A low-order Galerkin finite element method for the Navier-Stokes equations of steady incompressible flow: a stabilization issue and iterative methods.
• 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
• Interior regularity criteria for suitable weak solutions of the Navier-Stokes equations
• A unified proof on the partial regularity for suitable weak solutions of non-stationary and stationary Navier-Stokes equations
• Localized energy equalities for the Navier-Stokes and the Euler equations
• A new proof of partial regularity of solutions to Navier-Stokes equations
• On the Interior Regularity Criteria for Suitable Weak Solutions of the Magnetohydrodynamics Equations
• On partial regularity of steady-state solutions to the 6D Navier-Stokes equations
• 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
• On the Interior Regularity of Suitable Weak Solutions to the Navier–Stokes Equations
• ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
• On the regularity conditions of suitable weak solutions of the 3D Navier-Stokes equations