Liouville type Theorems for the 3D stationary Hall‐MHD equations

DOI10.1002/zamm.201900200OpenAlexW3011509727MaRDI QIDQ6197926

Zhouyu Li, Peng Cheng Niu

Publication date: 19 February 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201900200

zbMATH Keywords

Liouville type theoremLorentz spaceNavier-Stokes systemHall-MHD system

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Qualitative properties of solutions to partial differential equations (35Bxx) Magnetohydrodynamics and electrohydrodynamics (76Wxx)

Related Items (1)

Global regularity for the 3D Hall-MHD equations with low regularity axisymmetric data

Cites Work

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• Regularity of the \(3D\) stationary Hall magnetohydrodynamic equations on the plane
• On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics
• Convolution operators and L(p, q) spaces
• Bifurcation analysis of magnetic reconnection in Hall-MHD-systems
• On the temporal decay for the Hall-magnetohydrodynamic equations
• Some new functional spaces
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Liouville-type theorem for the steady compressible Hall-MHD system
• Studies on Magneto-Hydrodynamic Waves and other Anisotropic wave motions
• On Partial Regularity for the 3D Nonstationary Hall Magnetohydrodynamics Equations on the Plane

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