Pullback attractors for non-autonomous 2D MHD equations on some unbounded domains

DOI10.4064/ap113-2-2zbMath1321.76074OpenAlexW2323827155MaRDI QIDQ5499010

Dang Thanh Son, Cung The Anh

Publication date: 11 February 2015

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap113-2-2

zbMATH Keywords

unbounded domainPoincaré inequalityfractal dimensionpullback attractorenergy equation method2D MHD equations

Mathematics Subject Classification ID

Attractors (35B41) Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30)

Related Items

Time optimal control problem of the 2D MHD equations with memory ⋮ Attractors of the 3D magnetohydrodynamics equations with damping ⋮ Pullback attractors for 2D MHD equations on time-varying domains ⋮ Pullback attractors for 2D MHD equations with delays

Cites Work

• Attractors for infinite-dimensional non-autonomous dynamical systems
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• Generalization of the Sobolev-Lieb-Thirring inequalities and applications to the dimension of attractors
• Global attractors for damped semilinear wave equations.
• Large-time behaviour of solutions to the magneto-hydrodynamics equations
• Regularity criteria for the 3D MHD equations via partial derivatives
• Pull-back attractors for three-dimensional Navier—Stokes—Voigt equations in some unbounded domains
• Pullback attractors for nonautonomous 2D Bénard problem in some unbounded domains
• Some mathematical questions related to the mhd equations
• On existence, uniqueness and L^r-exponential stability for stationary solutions to the MHD equations in three-dimensional domains