Liouville-type theorems for the stationary inhomogeneous incompressible MHD equations

DOI10.1016/j.jmaa.2022.126945OpenAlexW4312083777WikidataQ122905200 ScholiaQ122905200MaRDI QIDQ2684744

Pan Liu

Publication date: 17 February 2023

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.2022.126945

zbMATH Keywords

Lorentz spaceLiouville-type theoreminhomogeneous MHD equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Magnetohydrodynamics and electrohydrodynamics (76W05) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Liouville type theorems for the steady axially symmetric Navier-Stokes and magnetohydrodynamic equations
• Global well-posedness for the 3-D incompressible inhomogeneous MHD system in the critical Besov spaces
• Liouville theorems for the Navier-Stokes equations and applications
• Global well-posedness for the 3D incompressible inhomogeneous Navier-Stokes equations and MHD equations
• Existence of solution for a density-dependent magnetohydrodynamic equation
• Global well-posedness of 3D axisymmetric MHD system with pure swirl magnetic field
• Global well-posedness of the 3D incompressible MHD equations with variable density
• A regularity criterion for a new density-dependent Hall-MHD system
• Global existence and exponential decay of strong solutions for the 3D incompressible MHD equations with density-dependent viscosity coefficient
• A regularity criterion for the 3D density-dependent MHD equations
• Inverse boundary value problem for the magnetohydrodynamics equations
• On Liouville type theorems for the stationary MHD and Hall-MHD systems
• On the global well-posedness of 3-D density-dependent MHD system
• Liouville-type theorems for the 3D stationary Navier-Stokes, MHD and Hall-MHD equations
• Global well-posedness of the two-dimensional incompressible magnetohydrodynamics system with variable density and electrical conductivity
• Global existence of strong solutions with vacuum to the multi-dimensional inhomogeneous incompressible MHD equations
• Liouville-type theorems for the forced Euler equations and the Navier-Stokes equations
• Convolution operators and L(p, q) spaces
• Bifurcation analysis of magnetic reconnection in Hall-MHD-systems
• On the influence of gravity on density-dependent incompressible periodic fluids
• Some new functional spaces
• A Liouville type theorem for the stationary compressible Navier-Stokes equations
• An Introduction to Magnetohydrodynamics
• Vorticity and Incompressible Flow
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Fourier Analysis and Nonlinear Partial Differential Equations
• Studies on Magneto-Hydrodynamic Waves and other Anisotropic wave motions
• Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Solvability of an inhomogeneous boundary value problem for steady MHD equations
• Some Liouville-type theorems for the stationary density-dependent Navier–Stokes equations
• Classical Fourier Analysis
• Sufficient conditions on Liouville type theorems for the 3D steady Navier–Stokes equations
• Liouville-type theorems for the stationary MHD equations in 2D
• Local wellposedness in Sobolev space for the inhomogeneous non-resistive MHD equations on general domain

This page was built for publication: Liouville-type theorems for the stationary inhomogeneous incompressible MHD equations