Regularity criteria for 3D Navier-Stokes equations in terms of finite frequency parts of velocity in \(\dot{B}_{\infty, \infty}^{- 1} \)

DOI10.1016/j.na.2019.111619zbMath1431.35110OpenAlexW2974469619MaRDI QIDQ2280401

Myong-Hwan Ri

Publication date: 18 December 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.111619

zbMATH Keywords

Navier-Stokes equationsregularity criterioncritical space

Mathematics Subject Classification ID

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

Related Items

Regularity criteria for 3D Navier-Stokes equations in terms of a mid frequency part of velocity in \(\dot{B}^{-1}_{\infty,\infty}\), Regularity criterion for 3D nematic liquid crystal flows in terms of finite frequency parts in \(\dot{B}_{\infty,\infty}^{-1}\), Regularity criterion for weak solutions to the 3D Navier-Stokes equations via two vorticity components in \(B M O^{- 1}\)

Cites Work

• Global well-posedness for Navier-Stokes equations with small initial value in \(B^{0}_{n,\infty}(\Omega)\)
• On the critical one component regularity for 3-D Navier-Stokes system: general case
• Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the pressure in the class
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• The regularity of weak solutions of the 3D Navier-Stokes equations in \(B^{-1}_{\infty,\infty}\)
• Ill-posedness of the 3D-Navier-Stokes equations in a generalized Besov space near \(\mathrm{BMO}^{-1}\)
• Ill-posedness of the Navier-Stokes equations in a critical space in 3D
• Solutions in \(L_ r\) of the Navier-Stokes initial value problem
• A generalization of a theorem by Kato on Navier-Stokes equations
• Regularity conditions of 3D Navier-Stokes flow in terms of large spectral components
• On the Navier-Stokes initial value problem. I
• Structure of the set of stationary solutions of the navier‐stokes equations
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• Self-similar solutions for navier-stokes equations in
• Well-posedness for the Navier-Stokes equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item