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

DOI10.1007/s00208-016-1488-9zbMath1383.35138arXiv1508.05313OpenAlexW2963803718WikidataQ59615385 ScholiaQ59615385MaRDI QIDQ1674590

Tobias Barker, Gregory A. Seregin

Publication date: 25 October 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.05313

zbMATH Keywords

blow upNavier-Stokes system

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Blow-up in context of PDEs (35B44)

Related Items (14)

Quantitative bounds for critically bounded solutions to the Navier-Stokes equations ⋮ Inverse image of precompact sets and regular solutions to the Navier–Stokes equations ⋮ Blow-up criteria for the Navier-Stokes equations in non-endpoint critical Besov spaces ⋮ Global weak solutions of the Navier-Stokes equations for intermittent initial data in half-space ⋮ Localised necessary conditions for singularity formation in the Navier-Stokes equations with curved boundary ⋮ Interior and boundary regularity for the Navier-Stokes equations in the critical Lebesgue spaces ⋮ On stability of weak Navier–Stokes solutions with largeL^3,∞initial data ⋮ Global weak Besov solutions of the Navier-Stokes equations and applications ⋮ Local energy weak solutions for the Navier-Stokes equations in the half-space ⋮ Localized smoothing for the Navier-Stokes equations and concentration of critical norms near singularities ⋮ Quantitative regularity for the Navier-Stokes equations via spatial concentration ⋮ Infinite energy solutions to the Navier-Stokes equations in the half-space and applications ⋮ On local type I singularities of the Navier -- Stokes equations and Liouville theorems ⋮ Blowup criterion for Navier-Stokes equation in critical Besov space with spatial dimensions \(d \geq 4\)

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