Liouville-type theorems for the stationary incompressible inhomogeneous Hall-MHD and MHD equations
type: Item
instance of: scholarly article
title: Liouville-type theorems for the stationary incompressible inhomogeneous Hall-MHD and MHD equations
zbMATH Open document ID: 1504.35233
author: Pan Liu
published in: Banach Journal of Mathematical Analysis
publication date: 2022-12-19T00:00:00Z
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35B53
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 7634455
zbMATH Keywords: Liouville-type theorems
zbMATH Keywords: Hall-MHD equations
zbMATH Keywords: MHD equations
MaRDI profile type: Publication
full work available at URL: s43037-022-00236-z
OpenAlex ID: W4313335281
Wikidata QID: Q122228174
cites work: Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system
cites work: A regularity criterion for the 3D density-dependent MHD equations
cites work: Fourier Analysis and Nonlinear Partial Differential Equations
cites work: Global well-posedness of the 3D incompressible MHD equations with variable density
cites work: Liouville-type theorems for the forced Euler equations and the Navier-Stokes equations
cites work: Well-posedness for Hall-magnetohydrodynamics
cites work: On Liouville-type theorems for the stationary MHD and the Hall-MHD systems in \(\mathbb{R}^3\)
cites work: Liouville type theorems for the steady axially symmetric Navier-Stokes and magnetohydrodynamic equations
cites work: On Liouville type theorems for the stationary MHD and Hall-MHD systems
cites work: Remarks on Liouville-type theorems for the steady MHD and Hall-MHD equations
cites work: An introduction to magnetohydrodynamics
cites work: Q5189317
cites work: Q5178046
cites work: A regularity criterion for a new density-dependent Hall-MHD system
cites work: An Introduction to the Mathematical Theory of the Navier-Stokes Equations
cites work: Existence of solution for a density-dependent magnetohydrodynamic equation
cites work: Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
cites work: Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
cites work: Modern Fourier Analysis
cites work: Global well-posedness of the two-dimensional incompressible magnetohydrodynamics system with variable density and electrical conductivity
cites work: Bifurcation analysis of magnetic reconnection in Hall-MHD-systems
cites work: Liouville theorems for the Navier-Stokes equations and applications
cites work: Q5146985
cites work: Studies on Magneto-Hydrodynamic Waves and other Anisotropic wave motions
cites work: An energetic variational approach for the Cahn-Hilliard equation with dynamic boundary condition: model derivation and mathematical analysis
cites work: Global well-posedness for the Hall-magnetohydrodynamics system in larger critical Besov spaces
cites work: A Liouville type theorem for the stationary compressible Navier-Stokes equations
cites work: Some Liouville-type theorems for the stationary density-dependent Navier–Stokes equations
cites work: Global well-posedness of 3D axisymmetric MHD system with pure swirl magnetic field
cites work: Global existence and exponential decay of strong solutions for the 3D incompressible MHD equations with density-dependent viscosity coefficient
cites work: On the influence of gravity on density-dependent incompressible periodic fluids
cites work: Q3260749
cites work: Liouville type theorem for stationary Navier-Stokes equations
cites work: Sufficient conditions on Liouville type theorems for the 3D steady Navier–Stokes equations
cites work: Q2743226
cites work: On the global well-posedness of 3-D density-dependent MHD system
cites work: Q3142876
cites work: An introduction to Sobolev spaces and interpolation spaces
cites work: Estimating ∇u by divu and curlu
cites work: Global well-posedness for the 3D incompressible Hall-magnetohydrodynamic equations with Fujita-Kato type initial data
cites work: Liouville-type theorems for the stationary MHD equations in 2D
cites work: Global existence of strong solutions with vacuum to the multi-dimensional inhomogeneous incompressible MHD equations
cites work: Liouville-type theorems for the 3D stationary Navier-Stokes, MHD and Hall-MHD equations
cites work: Existence, regularity and uniqueness of weak solutions with bounded magnetic fields to the steady Hall-MHD system
cites work: Global well-posedness for the 3-D incompressible inhomogeneous MHD system in the critical Besov spaces
cites work: Global well-posedness for the 3D incompressible inhomogeneous Navier-Stokes equations and MHD equations
cites work: Solvability of an inhomogeneous boundary value problem for steady MHD equations
cites work: Local wellposedness in Sobolev space for the inhomogeneous non-resistive MHD equations on general domain
DOI: 10.1007/S43037-022-00236-Z
description: scientific article; zbMATH DE number 7634455