A regularity criterion for 3D NSE in ‘dynamically restricted’ local Morrey spaces

DOI10.1080/00036811.2021.1906418zbMath1504.35227OpenAlexW3144499727MaRDI QIDQ5037945

Liaosha Xu, Zoran Grujić

Publication date: 29 September 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1906418

zbMATH Keywords

Navier-Stokes equationsregularity criterionMorrey regularity condition

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) Strong solutions to PDEs (35D35)

Related Items (1)

Remarks on sparseness and regularity of Navier–Stokes solutions

Cites Work

• Frequency localized regularity criteria for the 3D Navier-Stokes equations
• Smoothness of Koch-Tataru solutions to the Navier-Stokes equations revisited
• Fractional integrals on spaces of homogeneous type
• Space analyticity for the Navier-Stokes and related equations with initial data in \(L^p\)
• The space \(B^{-1}_{\infty, \infty}\), volumetric sparseness, and 3D NSE
• An algebraic reduction of the 'scaling gap' in the Navier-Stokes regularity problem
• On weighted iterated Hardy-type inequalities
• New pre-dual space of Morrey space
• Necessary and sufficient conditions for the boundedness of fractional maximal operators in local Morrey-type spaces
• Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations
• The multidimensional reverse Hardy inequalities
• Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations
• The geometric structure of the super-level sets and regularity for 3D Navier-Stokes equations
• Navier-stokes flow in r³with measures as initial vorticity and morrey spaces
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces
• A geometric measure-type regularity criterion for solutions to the 3D Navier–Stokes equations
• Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows
• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations

This page was built for publication: A regularity criterion for 3D NSE in ‘dynamically restricted’ local Morrey spaces