Some mathematical questions related to the mhd equations

1983/09/01 by Michel Sermange, Roger Temam, Roger Témam · 31 citations
Mathematics · #Geometric Analysis and Curvature Flows #Algebraic Geometry and Number Theory

paper · doi:10.1002/cpa.3160360506

Citations

• Inéquations en thermoélasticité et magnétohydrodynamique
• Sur le mouvement d'un liquide visqueux emplissant l'espace

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• Liouville type of theorems with weights for the Navier-Stokes equations and the Euler equations
• Global well-posedness for axisymmetric MHD system with only vertical viscosity
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• Incompressible magnetohydrodynamic limit of the Vlasov-Maxwell-Boltzmann equations
• A convergent linearized Lagrange finite element method for the magneto-hydrodynamic equations in 2D nonsmooth and nonconvex domains
• Initial-boundary value problem to 2D Boussinesq equations for MHD convection with stratification effects
• Low Mach Number Limit of Viscous Compressible Magnetohydrodynamic Flows
• The horizontal magnetic primitive equations approximation of the anisotropic MHD equations in a thin 3D domain
• Local wellposedness for the non-resistive MHD equations in optimal Sobolev spaces
• On the exponential stability of a stratified flow to the 2D IDEAL MHD equations with damping
• A remark on the two-dimensional magneto-hydrodynamics-alpha system
• Application of harmonic analysis techniques to regularity problems of dissipative equations
• BKM's Criterion and Global Weak Solutions for Magnetohydrodynamics with Zero Viscosity
• Global small solution to the 2D MHD system with a velocity damping term
• Stability for the 2D MHD equations with horizontal dissipation
• Global Well-Posedness and Asymptotic Behavior of the 3D MHD-Boussinesq Equations
• Global well-posedness of an initial-boundary value problem for viscous non-resistive MHD systems
• Global Regularity of 2D almost resistive MHD Equations
• Non-uniqueness in law of three-dimensional magnetohydrodynamics system forced by random noise
• Two regularity criteria for the 3D MHD equations
• The artificial compressibility approximation for MHD equations in\n unbounded domain
• Stability and convergence analysis of A linear, fully decoupled and unconditionally energy stable scheme for magneto-hydrodynamic equations
• Error Analysis of a PFEM Based on the Euler Semi-Implicit Scheme for the Unsteady MHD Equations. [europepmc]