Rescalings at possible singularities of Navier–Stokes equations in half-space

DOI10.1090/S1061-0022-2014-01317-9zbMath1319.35165arXiv1302.0141MaRDI QIDQ2931181

Vladimír Šverák, Gregory A. Seregin

Publication date: 24 November 2014

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.0141

zbMATH Keywords

incompressible Navier-Stokes equationsblow-upmild bounded ancient solution

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 (8)

On Type I blowups of suitable weak solutions to the Navier-Stokes equations near boundary ⋮ Localised necessary conditions for singularity formation in the Navier-Stokes equations with curved boundary ⋮ On type I blow up for the Navier-Stokes equations near the boundary ⋮ Liouville theorem for 2D Navier-Stokes equations in a half space ⋮ Liouville-type theorems for the Navier–Stokes equations ⋮ Ancient solutions to Navier-Stokes equations in half space ⋮ Scale-invariant estimates and vorticity alignment for Navier-Stokes in the half-space with no-slip boundary conditions ⋮ On local type I singularities of the Navier -- Stokes equations and Liouville theorems

Cites Work

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• A note on local boundary regularity for the Stokes system
• Liouville theorems in unbounded domains for the time-dependent stokes system
• On Type I Singularities of the Local Axi-Symmetric Solutions of the Navier–Stokes Equations
• Partial regularity of suitable weak solutions of the navier-stokes equations
• On estimates of solutions of the non-stationary Stokes problem in anisotropic Sobolev spaces and on estimates for the resolvent of the Stokes operator

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