Blow-up criteria for the Navier-Stokes equations in non-endpoint critical Besov spaces (Q1635294)

scientific article

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

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instance of

scholarly article

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title

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

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6 June 2018

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full work available at URL

https://arxiv.org/abs/1612.04439

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zbMATH Keywords

Navier-Stokes equations

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Besov spaces

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blow-up criteria

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MaRDI profile type

MaRDI publication profile

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cites work

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Fourier Analysis and Nonlinear Partial Differential Equations

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A general wavelet-based profile decomposition in the critical embedding of function spaces

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Stability by rescaled weak convergence for the Navier-Stokes equations

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Uniqueness results for weak Leray-Hopf solutions of the Navier-Stokes system with initial values in critical spaces

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A necessary condition of potential blowup for the Navier-Stokes system in half-space

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Ill-posedness of the Navier-Stokes equations in a critical space in 3D

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Partial regularity of suitable weak solutions of the navier-stokes equations

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Existence of Weak Solutions for the Navier-Stokes Equations with Initial Data in L p

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On the local smoothness of solutions of the Navier-Stokes equations

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The Navier-Stokes equations in the critical Lebesgue space

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Q5635373

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Profile decomposition for solutions of the Navier-Stokes equations

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A profile decomposition approach to the $L^\infty _t(L^{3}_x)$ Navier-Stokes regularity criterion

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Blow-up of critical Besov norms at a potential Navier-Stokes singularity

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Regularity of Solutions to the Navier-Stokes Equations Evolving from Small Data in BMO−1

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Minimal $L^3$-Initial Data for Potential Navier--Stokes Singularities

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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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An alternative approach to regularity for the Navier-Stokes equations in critical spaces

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Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case

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Profile decompositions for critical Lebesgue and Besov space embeddings

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Well-posedness for the Navier-Stokes equations

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On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations

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A new proof of the Caffarelli-Kohn-Nirenberg theorem

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The Navier-Stokes equations in nonendpoint borderline Lorentz spaces

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Minimal initial data for potential Navier-Stokes singularities

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

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On global weak solutions to the Cauchy problem for the Navier-Stokes equations with large $L_3$-initial data

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

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Heat flow of harmonic maps whose gradients belong to $L^{n}_{x}L^{\infty}_{t}$

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Identifiers

zbMATH Open document ID

1392.35202

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DOI

10.2140/apde.2018.11.1415

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:1635294