The regularity criteria and the a priori estimate on the 3D incompressible Navier-Stokes equations in orthogonal curvilinear coordinate systems

DOI10.1155/2020/2816183zbMath1451.35108OpenAlexW3093030440MaRDI QIDQ2211416

Publication date: 11 November 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/2816183

zbMATH Keywords

incompressible Navier-Stokes equations a priori estimate regularity criteria

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Axially symmetric solutions to PDEs (35B07)

Related Items (1)

Smooth solution for incompressible Navier–Stokes equations with large initial

Cites Work

Unnamed Item
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Unnamed Item
On singularity formation of a 3D model for incompressible Navier-Stokes equations
A regularity criterion for axially symmetric solutions to the Navier-Stokes equations
Global regularity for the 3D axisymmetric MHD equations with horizontal dissipation and vertical magnetic diffusion
Regularity of 3D axisymmetric Navier-Stokes equations
On the interior regularity of weak solutions of the Navier-Stokes equations
Regularity criterion to the axially symmetric Navier-Stokes equations
Invariant helical subspaces for the Navier-Stokes equations
On the regularity of the axisymmetric solutions of the Navier-Stokes equations
Regularity criteria to the axisymmetric incompressible magneto-hydrodynamics 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 \(\mathbb{R}^3\)
The viscosity vanishing limit and global well-posedness of the three-dimensional incompressible Navier-Stokes equations with smooth large initial data in spherical coordinates
Criticality of the axially symmetric Navier-Stokes equations
On finite time singularity and global regularity of an axisymmetric model for the 3D Euler equations
Un teorema di unicita per le equazioni di Navier-Stokes
Vorticity and Incompressible Flow
On the regularity of the solutions of the Navier–Stokes equations via one velocity component
Regularity criteria for the three-dimensional Navier-Stokes equations
A new proof of the Caffarelli-Kohn-Nirenberg theorem
Partial regularity of suitable weak solutions of the navier-stokes equations
L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
One component regularity for the Navier–Stokes equations
Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet

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