The Navier–Stokes regularity problem (Q4994634)

scientific article; zbMATH DE number 7361189

Language	Label	Description	Also known as
English	The Navier–Stokes regularity problem	scientific article; zbMATH DE number 7361189

Statements

instance of

scholarly article

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title

The Navier–Stokes regularity problem (English)

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author

James C. Robinson

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published in

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

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publication date

20 June 2021

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zbMATH Keywords

regularity and uniqueness

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Navier-Stokes equations

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Clay millennium problem

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differential equations

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fluid mechanics

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1098/rsta.2019.0526

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cites work

Q3589187

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Applied Analysis of the Navier-Stokes Equations

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Q2702181

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Q4040820

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The Three-Dimensional Navier–Stokes Equations

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Structure of the set of stationary solutions of the navier‐stokes equations

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The Navier-Stokes Problem in the 21st Century

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A posteriori regularity of the three-dimensional Navier–Stokes equations from numerical computations

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Well-posedness for the diffusive 3D Burgers equations with initial data in $H^{1/2}$

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Finite time blow up for a Navier-Stokes like equation

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Finite time blowup for an averaged three-dimensional Navier-Stokes equation

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Leray’s fundamental work on the Navier–Stokes equations: a modern review of “Sur le mouvement d’un liquide visqueux emplissant l’espace”

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Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet

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Q4177198

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Hausdorff measure and the Navier-Stokes equations

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

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Q5733282

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Nonuniqueness of weak solutions to the Navier-Stokes equation

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The Euler equations as a differential inclusion

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Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space?

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Q5723392

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Limits on enstrophy growth for solutions of the three-dimensional Navier-Stokes equations

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Maximum amplification of enstrophy in three-dimensional Navier–Stokes flows

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Gevrey class regularity for the solutions of the Navier-Stokes equations

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Q5589555

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Un teorema di unicita per le equazioni di Navier-Stokes

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

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The initial value problem for the Navier-Stokes equations with data in L$^p$

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On partial regularity results for the navier-stokes equations

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L3,∞-solutions of the Navier-Stokes equations and backward uniqueness

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Decay of weak solutions and the singular set of the three-dimensional Navier–Stokes equations

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Q3995301

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Partial Regularity for the 3D Navier–Stokes Equations

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Almost-everywhere uniqueness of Lagrangian trajectories for suitable weak solutions of the three-dimensional Navier–Stokes equations

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Improved bounds for box dimensions of potential singular points to the Navier–Stokes equations

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Lagrangian representation of a flow

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Identifiers

zbMATH Open document ID

1462.35251

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Mathematics Subject Classification ID

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10.1098/RSTA.2019.0526

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Sitelinks

Mathematics(1 entry)

mardi Publication:4994634