Solving the axisymmetric Navier-Stokes equations in critical spaces (I): The case with small swirl component

DOI10.1016/j.jde.2022.01.011OpenAlexW4206594468MaRDI QIDQ2074449

Yanlin Liu

Publication date: 10 February 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.01.011

zbMATH Keywords

critical spacesaxisymmetric Navier-Stokes equationsglobal smooth solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (3)

Global regular axially-symmetric solutions to the Navier-Stokes equations with small swirl ⋮ Long-time asymptotics of axisymmetric Navier-Stokes equations in critical spaces ⋮ On the global stability of large Fourier mode for 3-D Navier-Stokes equations

Cites Work

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• On axially symmetric flows in \(\mathbb{R}^3\)
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• Existence of Weak Solutions for the Navier-Stokes Equations with Initial Data in L p
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• Lower Bounds on the Blow-Up Rate of the Axisymmetric Navier–Stokes Equations II
• Global Axisymmetric Solutions to Three-Dimensional Navier–Stokes System

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