Well-posedness of the 3D Boussinesq-MHD equations with partial viscosity and damping

DOI10.1016/j.jmaa.2022.126437zbMath1504.35351OpenAlexW4283032406MaRDI QIDQ2157698

Hui Liu, Chengfeng Sun, Lin Lin, Haiyun Deng

Publication date: 22 July 2022

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.2022.126437

zbMATH Keywords

dampingwell-posednessBoussinesq-MHD equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Global well-posedness for the 3-D generalized MHD equations ⋮ Global attractors for the three-dimensional tropical climate model with damping terms

Cites Work

• On 2-D Boussinesq equations for MHD convection with stratification effects
• Decay of solutions for the 3D Navier-Stokes equations with damping
• On the local well-posedness and a Prodi-Serrin-type regularity criterion of the three-dimensional MHD-Boussinesq system without thermal diffusion
• Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity
• Weak and strong solutions for the incompressible Navier-Stokes equations with damping
• Global well-posedness of the 3D magneto-micropolar equations with damping
• Global well-posedness of the 3D micropolar equations with partial viscosity and damping
• Global regularity of 2D temperature-dependent MHD-Boussinesq equations with zero thermal diffusivity
• Well-posedness for 3D nematic liquid crystal flows with damping
• Attractors of the 3D magnetohydrodynamics equations with damping
• Well-posedness of the generalized Navier-Stokes equations with damping
• Initial-boundary value problem to 2D Boussinesq equations for MHD convection with stratification effects
• Global well-posedness of the 3D Boussinesq-MHD system without heat diffusion
• The Rellich-Kondrachov theorem for unbounded domains
• Existence and uniqueness of global solutions for the modified anisotropic 3D Navier−Stokes equations
• Fourier Analysis and Nonlinear Partial Differential Equations

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