A regularity criterion for axially symmetric solutions to the Navier-Stokes equations

DOI10.1007/s10958-011-0546-9zbMath1304.35513OpenAlexW1981532218MaRDI QIDQ476664

Wojciech M. Zajączkowski

Publication date: 2 December 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0546-9

zbMATH Keywords

Navier-Stokes equationsregularity criterionsymmetric solutionweak solution becomes strong

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Symmetries, invariants, etc. in context of PDEs (35B06) Strong solutions to PDEs (35D35)

Related Items (5)

Regularity via one vorticity component for the 3D axisymmetric MHD equations ⋮ Global regular axially-symmetric solutions to the Navier-Stokes equations with small swirl ⋮ The regularity criteria and the a priori estimate on the 3D incompressible Navier-Stokes equations in orthogonal curvilinear coordinate systems ⋮ Regularity criteria to the incompressible axisymmetric Boussinesq equations ⋮ On regularity criterion to the 3D axisymmetric incompressible MHD equations

Cites Work

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• An interior regularity criterion for an axially symmetric suitable weak solution to the Navier-Stokes equations
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