A survey of geometric constraints on the blowup of solutions of the Navier-Stokes equation (Q2061641)

scientific article

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English	A survey of geometric constraints on the blowup of solutions of the Navier-Stokes equation	scientific article

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instance of

scholarly article

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title

A survey of geometric constraints on the blowup of solutions of the Navier-Stokes equation (English)

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author

Yanyan Li

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published in

Journal of Elliptic and Parabolic Equations

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publication date

16 December 2021

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full work available at URL

https://arxiv.org/abs/2111.00040

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zbMATH Keywords

Navier-Stokes equation

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regularity criteria

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finite-time blowup

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MaRDI profile type

MaRDI publication profile

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cites work

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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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Un teorema di unicita per le equazioni di Navier-Stokes

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

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A certain necessary condition of potential blow up for Navier-Stokes equations

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Blow-up criteria for the Navier-Stokes equations in non-endpoint critical Besov spaces

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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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Global regularity for solutions of the three dimensional Navier–Stokes equation with almost two dimensional initial data

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Navier-Stokes equations with regularity in one direction

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Localized anisotropic regularity conditions for the Navier-Stokes equations

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Sufficient conditions for the regularity to the 3D Navier-Stokes equations

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An improved regularity criterion for the Navier-Stokes equations in terms of one directional derivative of the velocity field

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The end-point regularity criterion for the Navier-Stokes equations in terms of \(\partial_3 u\)

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An optimal regularity criterion for the Navier-Stokes equations proved by a blow-up argument

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Critical regularity criteria for Navier–Stokes equations in terms of one directional derivative of the velocity

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Some new regularity criteria for the Navier-Stokes equations in terms of one directional derivative of the velocity field

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Global solutions of 3-d Navier-Stokes system with small unidirectional derivative

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Global well-posedness of 3-D anisotropic Navier-Stokes system with small unidirectional derivative

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The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier--Stokes equations.

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Identifiers

zbMATH Open document ID

1479.35628

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DOI

10.1007/s41808-021-00135-8

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2061641