Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations

From MaRDI portal

Publication:361151

Jump to:navigation, search

DOI10.1007/s00021-010-0039-5zbMath1270.35339OpenAlexW2041517227MaRDI QIDQ361151

Jishan Fan, Gen Nakamura, Song Jiang, Yong Zhou

Publication date: 28 August 2013

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-010-0039-5

zbMATH Keywords

Navier-Stokes equations regularity criteria MHD equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items

On well-posedness and blow-up criterion for the 2D tropical climate model ⋮ Logarithmic improvement of regularity criteria for the Navier-Stokes equations in terms of pressure ⋮ Improved regularity criterion for the 3D Navier-Stokes equations via the gradient of one velocity component ⋮ A REGULARITY CRITERION FOR THE NAVIER–STOKES EQUATIONS IN TERMS OF ONE DIRECTIONAL DERIVATIVE OF THE VELOCITY FIELD ⋮ The anisotropic integrability logarithmic regularity criterion to the 3D micropolar fluid equations ⋮ A note on regularity criterion for the Navier-Stokes equations in terms of the pressure ⋮ A refined regularity criterion for the Navier-Stokes equations involving one non-diagonal entry of the velocity gradient ⋮ Logarithmically improved regularity criterion for the nematic liquid crystal flows in \(\dot B_{\infty,\infty}^{-1}\) space ⋮ Unnamed Item ⋮ Logarithmically improved criteria for the 3D nematic liquid crystal flows in the Morrey-Campanato space ⋮ A new Beale-Kato-Majda criteria for the 3D magneto-micropolar fluid equations in the Orlicz-Morrey space ⋮ Global well-posedness for axisymmetric MHD equations with vertical dissipation and vertical magnetic diffusion ⋮ 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 ⋮ On the Cauchy problem for a Leray-\(\alpha \)-MHD model ⋮ A regularity criterion for the 3D MHD equations in terms of the gradient of the pressure in the multiplier spaces ⋮ Conditional regularity for the 3D MHD equations in the critical Besov space ⋮ Regularity criteria for the incompressible Hall-magnetohydrodynamic equations ⋮ Regularity criteria for the 3D dissipative system modeling electro-hydrodynamics ⋮ Logarithmically improved extension criteria involving the pressure for the Navier–Stokes equations in Rn$\mathbb {R}^{n}$ ⋮ Regularity issue of the Navier-Stokes equations involving the combination of pressure and velocity field ⋮ Two regularity criteria for 3D Navier-Stokes equations in a bounded domain ⋮ A logarithmic improvement of regularity criterion for the MHD equations in terms of the pressure ⋮ Remarks on the regularity criterion to the Navier-Stokes equations via the gradient of one velocity component ⋮ Global weighted regularity estimates for higher‐order elliptic and parabolic systems ⋮ Regularity Criteria of the Magnetohydrodynamic Equations in a Bounded Domain ⋮ A logarithmical blow-up criterion for the 3D nematic liquid crystal flows ⋮ Note on Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes equations ⋮ Logarithmically improved regularity criterion for the harmonic heat flow and related equations ⋮ Logarithmically improved regularity conditions for the 3D Navier-Stokes equations ⋮ The anisotropic integrability logarithmic regularity criterion for the 3D MHD equations ⋮ A regularity criterion for the Navier-Stokes equations in the multiplier spaces ⋮ 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 ⋮ Blowup criteria in terms of pressure for the 3D nonlinear dissipative system modeling electro-diffusion ⋮ Logarithmical regularity criteria of the three-dimensional micropolar fluid equations in terms of the pressure ⋮ Some blow-up criteria in terms of pressure for the 3D viscous MHD equations ⋮ Some new regularity criteria for the 3D MHD equations ⋮ Blow-up of smooth solutions to the compressible magnetohydrodynamic flows ⋮ On the possible time singularities for the 3D Navier-Stokes equations ⋮ A logarithmically improved regularity criterion for the Boussinesq equations in a bounded domain ⋮ Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the pressure in the class ⋮ A Beale-Kato-Majda criterion with optimal frequency and temporal localization ⋮ A note on the regularity criterion for the 3D Navier-Stokes equations via the gradient of one velocity component ⋮ Refined blow-up criterion for the 3D magnetohydrodynamics equations ⋮ Interior condition on suitable weak solutions to the 3D MHD equations via pressure ⋮ Brezis-Gallouet-Wainger type inequalities and blow-up criteria for Navier-Stokes equations in unbounded domains ⋮ Logarithmical regularity criterion of the three-dimensional Boussinesq equations in terms of the pressure ⋮ A logarithmically improved blow-up criterion for smooth solutions to the micropolar fluid equations in weak multiplier spaces ⋮ Blow-up criteria for smooth solutions to the generalized 3D MHD equations ⋮ Remarks on the regularity criteria for the 3D MHD equations in the multiplier spaces ⋮ A Beale-Kato-Madja criterion for magneto-micropolar fluid equations with partial viscosity ⋮ Logarithmically improved blow-up criteria for a phase field Navier-Stokes vesicle-fluid interaction model ⋮ Regularity criteria and small data global existence to the generalized viscous Hall-magnetohydrodynamics ⋮ On regularity criteria for the three-dimensional micropolar fluid equations in the critical Morrey-Campanato space ⋮ A Beale–Kato–Majda criterion for the 3D viscous magnetohydrodynamic equations ⋮ Logarithmic and improved regularity criteria for the 3D nematic liquid crystals models, Boussinesq system, and MHD equations in a bounded domain ⋮ The 3D Boussinesq equations with regularity in one directional derivative of the pressure ⋮ A double-logarithmically improved regularity criterion of weak solutions for the 3D MHD equations ⋮ Some regularity criteria for the 3D generalized Navier-Stokes equations ⋮ A logarithmic regularity criterion for the 3D generalized MHD system ⋮ Navier-Stokes equations with regularity in one directional derivative of the pressure ⋮ A new sufficient condition for local regularity of a suitable weak solution to the MHD equations ⋮ An alternative proof of logarithmically improved Beale-Kato-Majda type extension criteria for smooth solutions to the Navier-Stokes equations ⋮ Logarithmically improved blow-up criteria for the nematic liquid crystal flows ⋮ Unnamed Item ⋮ Regularity criteria for the incompressible Hall-MHD system ⋮ Global existence and temporal decay for the 3D compressible Hall-magnetohydrodynamic system ⋮ Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices ⋮ Regularity criterion for 3D MHD fluid passing through the porous medium in terms of gradient pressure ⋮ Blow-Up Criterion for 3D Navier-Stokes Equations and Landau-Lifshitz System in a Bounded Domain ⋮ Remarks on pressure regularity criterion for the 3D Boussinesq equations ⋮ A logarithmic regularity criterion for the two-dimensional MHD equations ⋮ Global large solutions to the 3-D generalized incompressible Navier-Stokes equations ⋮ Logarithmically improved regularity criterion for the 3D Hall-MHD equations ⋮ A remark on the logarithmically improved regularity criterion for the micropolar fluid equations in terms of the pressure ⋮ Regularity criterion for the 3D micropolar fluid equations in terms of pressure ⋮ Commutator estimate and its application to regularity criteria of the dissipative quasi-geostrophic equation ⋮ A regularity criterion for a 3D tropical climate model with damping ⋮ A remark on the regularity criterion for the 3D Navier-Stokes equations involving the gradient of one velocity component ⋮ Remark on an improved regularity criterion for the 3D MHD equations ⋮ ON THE IMPROVED REGULARITY CRITERION OF THE SOLUTIONS TO THE NAVIER-STOKES EQUATIONS ⋮ Remarks on logarithmical regularity criteria for the Navier–Stokes equations ⋮ A new improved regularity criterion of solutions to Leray-𝛼-MHD model and Navier-Stokes equation

Cites Work

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:361151&oldid=12234511"