Anisotropic Liouville type theorem for the stationary Navier-Stokes equations in \(\mathbb{R}^3\)

DOI10.1016/j.aml.2023.108655zbMath1530.35181OpenAlexW4324387285WikidataQ122443829 ScholiaQ122443829MaRDI QIDQ6167235

Donghao Chae

Publication date: 7 July 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108655

zbMATH Keywords

steady Navier-Stokes equationsLiouville-type theorem

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

• On Liouville type theorems for the steady Navier-Stokes equations in \(\mathbb{R}^3\)
• A remark on Liouville-type theorems for the stationary Navier-Stokes equations in three space dimensions
• Liouville theorems for the Navier-Stokes equations and applications
• The Liouville theorem for the steady-state Navier-Stokes problem for axially symmetric 3D solutions in absence of swirl
• Remarks on Liouville-type theorems for the steady MHD and Hall-MHD equations
• On the Liouville theorem for the stationary Navier-Stokes equations in a critical space
• Liouville-type theorems for the forced Euler equations and the Navier-Stokes equations
• Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces
• Liouville type theorem for stationary Navier–Stokes equations
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Remarks on Liouville type theorems for steady-state Navier–Stokes equations
• Sufficient conditions on Liouville type theorems for the 3D steady Navier–Stokes equations
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