A study on the global regularity for a model of the 3D axisymmetric Navier-Stokes equations

DOI10.1016/j.na.2011.12.006zbMath1234.35186OpenAlexW1976216606MaRDI QIDQ765239

Lizheng Tao, Jiahong Wu

Publication date: 19 March 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.12.006

zbMATH Keywords

3D axisymmetric Navier-Stokes

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Euler equations (35Q31)

Related Items (1)

Global regularity of the axisymmetric Navier-Stokes model with logarithmically supercritical dissipation

Cites Work

• Global well-posedness for the 3D rotating Navier-Stokes equations with highly oscillating initial data
• On singularity formation of a 3D model for incompressible Navier-Stokes equations
• On singularity formation of a nonlinear nonlocal system
• On the partial regularity of a 3D model of the Navier-Stokes equations
• On the Lagrangian dynamics of the axisymmetric 3D Euler equations
• Generalized MHD equations.
• On the global well-posedness for the axisymmetric Euler equations
• Global Regularity of the 3D Axi-Symmetric Navier–Stokes Equations with Anisotropic Data
• On the stabilizing effect of convection in three-dimensional incompressible flows
• Dynamic stability of the three‐dimensional axisymmetric Navier‐Stokes equations with swirl

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