Global well-posedness for the MHD-Boussinesq system with the temperature-dependent viscosity

DOI10.1016/j.nonrwa.2018.05.006zbMath1406.35308OpenAlexW2806243409WikidataQ129757547 ScholiaQ129757547MaRDI QIDQ1994857

Xiaoping Zhai, Zhi Min Chen

Publication date: 2 November 2018

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.05.006

zbMATH Keywords

Littlewood-Paley theoryglobal well-posednessMHD-Boussinesq system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) Magnetohydrodynamics and electrohydrodynamics (76W05) Blow-up in context of PDEs (35B44)

Related Items (10)

Local well-posedness of Boussinesq equations for MHD convection with fractional thermal diffusion in Sobolev space \(H^s (\mathbb{R}^n) \times H^{s+1-\epsilon} (\mathbb{R}^n) \times H^{s + \alpha - \epsilon} (\mathbb{R}^n)\) ⋮ Stability and large time behavior for the 2D BMHD system with partial dissipation and thermal damping ⋮ Decay for the 3D anisotropic MHD-Boussinesq equations near the hydrostatic equilibrium ⋮ On the stability of hydrostatic equilibrium in a uniform magnetic field with partial dissipation ⋮ Asymptotic regularity for the generalized MHD‐Boussinesq equations ⋮ Stability of hydrostatic equilibrium in a uniform magnetic field with mixed partial dissipation ⋮ Existence of a solution to the non-steady magnetohydrodynamics-Boussinesq system with mixed boundary conditions ⋮ Stability of Couette flow for 2D Boussinesq system in a uniform magnetic field with vertical dissipation ⋮ Global well-posedness and decay estimates of strong solutions to the nonhomogeneous Boussinesq equations for magnetohydrodynamics convection ⋮ Stability of hydrostatic equilibrium for the 2D BMHD system with partial dissipation

Cites Work

• Unnamed Item
• Unnamed Item
• On 2-D Boussinesq equations for MHD convection with stratification effects
• On the global well-posedness of 2-D Boussinesq system with variable viscosity
• Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation
• Global wellposedness of an inviscid \(2D\) Boussinesq system with nonlinear thermal diffusivity
• Global well-posedness for the 2D inviscid Bénard system with fractional diffusivity and Yudovich's type data
• Global solutions to the chemotaxis-Navier-Stokes equations with some large initial data
• On the local well-posedness and a Prodi-Serrin-type regularity criterion of the three-dimensional MHD-Boussinesq system without thermal diffusion
• Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
• Global well-posedness for the 2-D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity
• Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation
• Global well-posedness for a class of 2D Boussinesq systems with fractional dissipation
• On the global well-posedness for Boussinesq system
• On two-dimensional magnetic Bénard problem with mixed partial viscosity
• Global-wellposedness of 2D Boussinesq equations with mixed partial temperature-dependent viscosity and thermal diffusivity
• Global solutions to the 2D viscous, non-resistive MHD system with large background magnetic field
• Energy conserving Galerkin approximations for 2-D hydrodynamic and MHD Bénard convection
• Mathematical theory of incompressible nonviscous fluids
• Necessary and sufficient conditions for nonlinear stability in the magnetic Bénard problem
• Global weak solutions for Boussinesq system with temperature dependent viscosity and bounded temperature
• The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion
• Global smooth solutions to the \(n\)-dimensional damped models of incompressible fluid mechanics with small initial datum
• Global regularity and long-time behavior of the solutions to the 2D Boussinesq equations without diffusivity in a bounded domain
• Global regularity for the initial-boundary value problem of the 2-D Boussinesq system with variable viscosity and thermal diffusivity
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion
• Well-posedness and inviscid limits of the Boussinesq equations with fractional Laplacian dissipation
• Global persistence of geometrical structures for the Boussinesq equation with no diffusion
• Fourier Analysis and Nonlinear Partial Differential Equations
• On the global well-posedness of the Boussinesq system with zero viscosity
• Large time behaviour of solutions to the navier-stokes equations
• Commutator estimates and the euler and navier-stokes equations
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• The initial value problem for a generalized Boussinesq model
• Well-Posedness in Critical Spaces for Barotropic Viscous Fluids with Truly Not Constant Density

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