Liouville-type theorems for the 3D stationary Navier-Stokes, MHD and Hall-MHD equations

DOI10.1016/j.jmaa.2020.124343zbMath1450.35091OpenAlexW3039677416MaRDI QIDQ2207640

Yamin Xiao, Bao-Quan Yuan

Publication date: 23 October 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124343

zbMATH Keywords

Navier-Stokes equationsMHD equationsLiouville-type theoremsHall-MHD equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

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Cites Work

• Unnamed Item
• Liouville type theorems for the steady axially symmetric Navier-Stokes and magnetohydrodynamic equations
• On Liouville type theorems for the steady Navier-Stokes equations in \(\mathbb{R}^3\)
• Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system
• Liouville theorems for the Navier-Stokes equations and applications
• Well-posedness for Hall-magnetohydrodynamics
• Liouville type theorem for the stationary equations of magneto-hydrodynamics
• 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
• Liouville type theorem for stationary Navier–Stokes equations
• Remarks on Liouville Type Result for the 3D Hall-MHD System
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Studies on Magneto-Hydrodynamic Waves and other Anisotropic wave motions
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)

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