Improved quantitative regularity for the Navier-Stokes equations in a scale of critical spaces

DOI10.1007/s00205-021-01709-5zbMath1477.35131arXiv2101.08586OpenAlexW3200012771MaRDI QIDQ2665250

Stan Palasek

Publication date: 18 November 2021

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.08586

zbMATH Keywords

regularityNavier-Stokes equationsblowup rate

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Blow-up in context of PDEs (35B44) Classical solutions to PDEs (35A09)

Related Items (7)

Note on Leray's criterion for Navier-Stokes singularity ⋮ Remarks on local regularity of axisymmetric solutions to the 3D Navier–Stokes equations ⋮ Quantitative control of solutions to the axisymmetric Navier-Stokes equations in terms of the weak \(L^3\) norm ⋮ Localized Quantitative Estimates and Potential Blow-Up Rates for the Navier–Stokes Equations ⋮ Regularity criterion for the 3D Navier-Stokes equations in the boardline case ⋮ A minimum critical blowup rate for the high-dimensional Navier-Stokes equations ⋮ Localized smoothing and concentration for the Navier-Stokes equations in the half space

Cites Work

• Unnamed Item
• Regularity of solutions to axisymmetric Navier-Stokes equations with a slightly supercritical condition
• Blow-up of critical Besov norms at a potential Navier-Stokes singularity
• Localisation and compactness properties of the Navier-Stokes global regularity problem
• A certain necessary condition of potential blow up for Navier-Stokes equations
• Regularity of 3D axisymmetric Navier-Stokes equations
• Liouville theorems for the Navier-Stokes equations and applications
• A Liouville theorem for the axially-symmetric Navier-Stokes equations
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• On the regularity of the axisymmetric solutions of the Navier-Stokes equations
• Blow-up criteria for the Navier-Stokes equations in non-endpoint critical Besov spaces
• Global weak Besov solutions of the Navier-Stokes equations and applications
• Global existence of solutions to 2-D Navier-Stokes flow with non-decaying initial data in exterior domains
• Quantitative regularity for the Navier-Stokes equations via spatial concentration
• Mild criticality breaking for the Navier-Stokes equations
• Local regularity of axisymmetric solutions to the Navier-Stokes equations
• A profile decomposition approach to the \(L^\infty _t(L^{3}_x)\) Navier-Stokes regularity criterion
• Un teorema di unicita per le equazioni di Navier-Stokes
• On Type I Singularities of the Local Axi-Symmetric Solutions of the Navier–Stokes Equations
• Lower Bounds on the Blow-Up Rate of the Axisymmetric Navier–Stokes Equations II
• Partial regularity of suitable weak solutions of the navier-stokes equations
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• Self-improving bounds for the Navier-Stokes equations

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