Dynamical behavior for the solutions of the Navier-Stokes equation

DOI10.3934/cpaa.2018073zbMath1397.35173arXiv1608.06680OpenAlexW2963240958MaRDI QIDQ1659609

Kuijie Li, Tohru Ozawa, Bao Xiang Wang

Publication date: 22 August 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.06680

zbMATH Keywords

Navier-Stokes equationconcentration phenomenablowup profile\(L^p\)-minimal singularity-generating datatype-blowup solution

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Blow-up in context of PDEs (35B44)

Related Items (10)

Navier-Stokes equation in super-critical spaces \(E_{p,q}^s\) ⋮ Regular sets and an \(\varepsilon \)-regularity theorem in terms of initial data for the Navier-Stokes equations ⋮ Localised necessary conditions for singularity formation in the Navier-Stokes equations with curved boundary ⋮ The local characterizations of the singularity formation for the MHD equations ⋮ 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 ⋮ Estimates for the Navier-Stokes equations in the half-space for nonlocalized data ⋮ Localized smoothing and concentration for the Navier-Stokes equations in the half space ⋮ Remarks on sparseness and regularity of Navier–Stokes solutions

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