Regularity criteria for the axisymmetric Navier-Stokes system with negative weights

DOI10.1007/s00025-019-1059-yzbMath1421.35044OpenAlexW2954725807WikidataQ127623797 ScholiaQ127623797MaRDI QIDQ2323071

Zujin Zhang

Publication date: 30 August 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-1059-y

zbMATH Keywords

regularity criteriaaxisymmetric Navier-Stokes equationsnegative weightesweighted regularity condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Axially symmetric solutions to PDEs (35B07)

Related Items (3)

Global weighted regularity for the 3D axisymmetric MHD equations ⋮ Global well-posedness of 3D axisymmetric MHD system with large swirl magnetic field ⋮ Improvement of several regularity criteria for the Navier-Stokes equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on the Cauchy problem for the axisymmetric Navier-Stokes equations
• Regularity of 3D axisymmetric Navier-Stokes equations
• On the regularity criterion of axisymmetric weak solutions to the 3D Navier-Stokes equations
• A Liouville theorem for the axially-symmetric Navier-Stokes equations
• Regularity criterion of axisymmetric weak solutions to the 3D Navier-Stokes equations
• Regularity criterion to the axially symmetric Navier-Stokes equations
• On the regularity of the axisymmetric solutions of the Navier-Stokes equations
• A pointwise regularity criterion for axisymmetric Navier-Stokes system
• On weighted regularity criteria for the axisymmetric Navier-Stokes equations
• On axially symmetric flows in \(\mathbb{R}^3\)
• On some regularity criteria for axisymmetric Navier-Stokes equations
• Several new regularity criteria for the axisymmetric Navier-Stokes equations with swirl
• Criticality of the axially symmetric Navier-Stokes equations
• Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component
• Remarks on regularity criteria for axially symmetric weak solutions to the Navier-Stokes equations
• Remarks on regularity criteria for the Navier–Stokes equations with axisymmetric data
• Global Axisymmetric Solutions to Three-Dimensional Navier–Stokes System
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet

This page was built for publication: Regularity criteria for the axisymmetric Navier-Stokes system with negative weights