Regular sets and an \(\varepsilon \)-regularity theorem in terms of initial data for the Navier-Stokes equations

DOI10.2140/paa.2021.3.567zbMath1487.35295arXiv2006.13145OpenAlexW3035934580MaRDI QIDQ2668148

Tai-Peng Tsai, Hideyuki Miura, Kyungkeun Kang

Publication date: 3 March 2022

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

Full work available at URL: https://arxiv.org/abs/2006.13145

zbMATH Keywords

Navier-Stokes equationsenergy concentrationregular setdiscretely self-similar solutions\( \varepsilon \)-regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06)

Related Items (5)

Localized Quantitative Estimates and Potential Blow-Up Rates for the Navier–Stokes Equations ⋮ Local regularity criteria in terms of one velocity component for the Navier-Stokes equations ⋮ Spatial decay of discretely self-similar solutions to the Navier-Stokes equations ⋮ 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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