Regularity criterion for weak solutions to the 3D Navier-Stokes equations via two vorticity components in \(B M O^{- 1}\)
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Publication:2025429
DOI10.1016/j.nonrwa.2020.103271zbMath1468.35113OpenAlexW3112268828MaRDI QIDQ2025429
Publication date: 14 May 2021
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103271
Navier-Stokes equationsvorticityTriebel-Lizorkin spacesregularity criterionBesov spacesBony decomposition
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30)
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Cites Work
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- Navier-Stokes equations with vorticity in Besov spaces of negative regular indices
- Frequency localized regularity criteria for the 3D Navier-Stokes equations
- On the critical one component regularity for 3-D Navier-Stokes system: general case
- A remark on the blow-up criterion of strong solutions to the Navier-Stokes equations
- On the interior regularity of weak solutions of the Navier-Stokes equations
- 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 \(B^{-1}_{\infty,\infty}\)
- The BKM criterion for the 3D Navier-Stokes equations via two velocity components
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
- Extension criterion via two-components of vorticity on strong solutions to the 3D Navier-Stokes equations
- Bilinear estimates in \(BMO\) and the Navier-Stokes equations
- Regularity criterion for solutions to the Navier-Stokes equations in the whole 3D space based on two vorticity components
- A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
- Regularity criteria for 3D Navier-Stokes equations in terms of finite frequency parts of velocity in \(\dot{B}_{\infty, \infty}^{- 1} \)
- On the Navier-Stokes initial value problem. I
- Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices
- Regularity criterion of weak solutions to the 3D Navier-Stokes equations via two velocity components
- Regularity criterion via two components of vorticity on weak solutions to the Navier-Stokes equations in \(\mathbb R^3\).
- Vorticity and Incompressible Flow
- Fourier Analysis and Nonlinear Partial Differential Equations
- Remarks on the Regularity Criteria of Three-dimensional Navier-Stokes Equations in Margin Case
- Bilinear estimates in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations
- L3,∞-solutions of the Navier-Stokes equations and backward uniqueness
- Well-posedness for the Navier-Stokes equations