Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure
From MaRDI portal
Publication:1008437
DOI10.1155/2008/412678zbMath1162.35060OpenAlexW2115763181WikidataQ59217275 ScholiaQ59217275MaRDI QIDQ1008437
Publication date: 30 March 2009
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/129931
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (19)
Weighted \(L^p\)-boundedness of convolution type integral operators associated with bilinear estimates in the Sobolev spaces ⋮ A new regularity criterion for strong solutions to the Ericksen–Leslie system ⋮ Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations ⋮ Remarks on the Navier-Stokes equations in space dimension 𝑛≥3 ⋮ A logarithmically improved blow-up criterion for smooth solutions to the 3D micropolar fluid equations ⋮ Logarithmically improved extension criteria involving the pressure for the Navier–Stokes equations in Rn$\mathbb {R}^{n}$ ⋮ Regularity criterion in terms of \textit{BMO}-type norm of the pressure gradient for the Navier-Stokes equations on unbounded domains ⋮ On the pressure regularity criterion of the 3D Navier-Stokes equations ⋮ Logarithmically improved blow up criterion for smooth solutions to the 3D micropolar fluid equations ⋮ Regularity criterion for weak solution to the 3D micropolar fluid equations ⋮ Blow-up criterion of weak solutions for the 3D Boussinesq equations ⋮ Remarks on regularity criterion for weak solutions to the Navier–Stokes equations in terms of the gradient of the pressure ⋮ A note on regularity criteria in terms of pressure for the 3D viscous MHD equations ⋮ Logarithmical regularity criterion of the three-dimensional Boussinesq equations in terms of the pressure ⋮ A new Prodi-Serrin type regularity criterion in velocity directions ⋮ On Prodi-Serrin type conditions for the 3D Navier-Stokes equations ⋮ A remark on the logarithmically improved regularity criterion for the micropolar fluid equations in terms of the pressure ⋮ ON THE IMPROVED REGULARITY CRITERION OF THE SOLUTIONS TO THE NAVIER-STOKES EQUATIONS ⋮ A new improved regularity criterion of solutions to Leray-𝛼-MHD model and Navier-Stokes equation
Cites Work
- On the interior regularity of weak solutions of the Navier-Stokes equations
- On regularity criteria for the \(n\)-dimensional Navier-Stokes equations in terms of the pressure
- Remarks on Gagliardo-Nirenberg type inequality with critical Sobolev space and BMO
- On the regularity of the pressure of weak solutions of Navier-Stokes equations
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- Bilinear estimates in \(BMO\) and the Navier-Stokes equations
- A note on \(BMO\) and its application
- The initial value problem for the Navier-Stokes equations with data in L\(^p\)
- On a Serrin-type regularity criterion for the Navier-Stokes equations in terms of the pressure
- Regularity criterion via the pressure on weak solutions to the 3D Navier-Stokes equations
- On partial regularity results for the navier-stokes equations
- Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations
- L3,∞-solutions of the Navier-Stokes equations and backward uniqueness
- On regularity criteria in terms of pressure for the Navier-Stokes equations in ℝ³
- Regularity criterion in terms of pressure for the Navier-Stokes equations
This page was built for publication: Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure
