Regularity criterion for weak solutions to the 3D Navier-Stokes equations via two vorticity components in \(B M O^{- 1}\) (Q2025429)

scientific article; zbMATH DE number 7347908

Language	Label	Description	Also known as
English	Regularity criterion for weak solutions to the 3D Navier-Stokes equations via two vorticity components in \(B M O^{- 1}\)	scientific article; zbMATH DE number 7347908

Statements

instance of

scholarly article

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title

Regularity criterion for weak solutions to the 3D Navier-Stokes equations via two vorticity components in \(B M O^{- 1}\) (English)

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author

Chol-Jun O

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published in

Nonlinear Analysis. Real World Applications

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publication date

14 May 2021

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zbMATH Keywords

Navier-Stokes equations

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regularity criterion

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vorticity

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Bony decomposition

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Besov spaces

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Triebel-Lizorkin spaces

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.nonrwa.2020.103271

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cites work

On the Navier-Stokes initial value problem. I

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On the interior regularity of weak solutions of the Navier-Stokes equations

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On the critical one component regularity for 3-D Navier-Stokes system: general case

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The regularity of weak solutions of the 3D Navier-Stokes equations in \(B^{-1}_{\infty,\infty}\)

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<i>L</i><sub>3,∞</sub>-solutions of the Navier-Stokes equations and backward uniqueness

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Bilinear estimates in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations

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Frequency localized regularity criteria for the 3D Navier-Stokes equations

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

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A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)

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Remarks on the breakdown of smooth solutions for the 3-D Euler equations

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Bilinear estimates in \(BMO\) and the Navier-Stokes equations

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The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations

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Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices

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A remark on the blow-up criterion of strong solutions to the Navier-Stokes equations

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Navier-Stokes equations with vorticity in Besov spaces of negative regular indices

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Q4242041

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Extension criterion via two-components of vorticity on strong solutions to the 3D Navier-Stokes equations

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Regularity criterion via two components of vorticity on weak solutions to the Navier-Stokes equations in \(\mathbb R^3\).

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Regularity criterion for solutions to the Navier-Stokes equations in the whole 3D space based on two vorticity components

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Well-posedness for the Navier-Stokes equations

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Regularity criterion of weak solutions to the 3D Navier-Stokes equations via two velocity components

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Remarks on the Regularity Criteria of Three-dimensional Navier-Stokes Equations in Margin Case

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The BKM criterion for the 3D Navier-Stokes equations via two velocity components

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Q3336199

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Fourier Analysis and Nonlinear Partial Differential Equations

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Q3142876

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Vorticity and incompressible flow

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Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions

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Identifiers

zbMATH Open document ID

1468.35113

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Mathematics Subject Classification ID

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10.1016/J.NONRWA.2020.103271

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Sitelinks

Mathematics(1 entry)

mardi Publication:2025429