References
- Eringen AC. Theory of micropolar fluids. J Math Mech. 1966;1–18.
- Jiang F, Jiang S. On magnetic inhibition theory in non-resistive magnetohydrodynamic fluids. Arch Ration Mech Anal. 2019;233:749–798.
- Jiang F, Jiang S. Nonlinear stability and instability in the Rayleigh-Taylor problem of stratified compressible MHD fluids. Calc Var Partial Differ Equ. 2019;58(1):29.
- Jiang F, Jiang S. On the stabilizing effect of the magnetic fields in the magnetic Rayleigh-Taylor problem. SIAM J Math Anal. 2018;50(1):491–540.
- Jiang F. On effects of viscosity and magnetic fields on the largest growth rate of linear Rayleigh-Taylor instability. J Math Phys. 2016;57(11):111503.
- Jiang F, Jiang S, Zhan W. Instability of the abstract Rayleigh-Taylor problem and applications. Math Models Methods Appl Sci. 2020;30(12):2299–2388.
- Jiang F, Jiang S, Wang Y. On the Rayleigh-Taylor instability for the incompressible viscous magnetohydrodynamic equations. Commun Partial Differ Equ. 2014;39(3):399–438.
- Jiang F, Jiang S, Wang W. Nonlinear Rayleigh-Taylor instability for nonhomogeneous incompressible viscous magnetohydrodynamic flows. Discrete Contin Dyn Syst S. 2016;9(6):1853–1898.
- Jiang F, Jiang S. On the dynamical stability and instability of Parker problem. Phys D Nonlinear Phenom. 2019;391:17–51.
- Jiang F, Jiang S. On linear instability and stability of the Rayleigh-Taylor problem in magnetohydrodynamics. J Math Fluid Mech. 2015;17:639–668.
- Duan R, Jiang F, Jiang S. On the Rayleigh-Taylor instability for incompressible, inviscid magnetohydrodynamic flows. SIAM J Appl Math. 2011;71(6):1990–2013.
- Jiang F, Jiang S. Asymptotic behaviors of global solutions to the two-dimensional non-resistive MHD equations with large initial perturbations. Adv Math. 2021;393:108084.
- Larios A, Titi ES. Higher-order global regularity of an inviscid Voigt-regularization of the three-dimensional inviscid resistive magnetohydrodynamic equations. J Math Fluid Mech. 2014;16(1):59–76.
- Hu X, Wang D. Global solutions to the three-dimensional full compressible magnetohydrodynamic flows. Commun Math Phys. 2008;283:255–284.
- Chen GQ, Wang D. Global solutions of nonlinear magnetohydrodynamics with large initial data. J Differ Equ. 2002;182(2):344–376.
- Hu X, Wang D. Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows. Arch Ration Mech Anal. 2010;197(1):203–238.
- Wang D. Large solutions to the initial-boundary value problem for planar magnetohydrodynamics. SIAM J Appl Math. 2003;63(4):1424–1441.
- Hu X, Wang D. Low mach number limit of viscous compressible magnetohydrodynamic flows. SIAM J Math Anal. 2009;41(3):1272–1294.
- Tan Z, Wang D, Wang H. Retracted article: global strong solution to the three-dimensional stochastic incompressible magnetohydrodynamic equations. Math Ann. 2016;365:1219–1256.
- Li X, Su N, Wang D. Local strong solution to the compressible magnetohydrodynamic flow with large data. J Hyperbolic Differ Equ. 2011;8(03):415–436.
- Chen GQ, Wang D. Existence and continuous dependence of large solutions for the magnetohydrodynamic equations. Z Fur Angew Math Phys. 2003;54:608–632.
- Ma L. Global existence of three-dimensional incompressible magneto-micropolar system with mixed partial dissipation, magnetic diffusion and angular viscosity. Comput Math Appl. 2018;75(1):170–186.
- Zhang YJ, Wang JL, Jiang H. Stability near hydrostatic equilibrium to the three-dimensional magnetic Benard fluid equations with partial dissipation, to appear Rocky Mountain J Math.
- Alfvén H. Existence of electromagnetic-hydrodynamic waves. Nature. 1942;150(3805):405–406.
- Wu J, Zhu Y. Global solutions of 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion near an equilibrium. Adv Math. 2021;377:107466.
- Boardman N, Lin H, Wu J. Stabilization of a background magnetic field on a 2 dimensional magnetohydrodynamic flow. SIAM J Math Anal. 2020;52(5):5001–5035.
- Dong BQ, Zhang Z. Global regularity of the 2D micropolar fluid flows with zero angular viscosity. J Differ Equ. 2010;249(1):200–213.
- Ma L. On two-dimensional incompressible magneto-micropolar system with mixed partial viscosity. Nonlinear Anal Real World Appl. 2018;40:95–129.
- Wang D, Wu J, Ye Z. Global regularity of the three-dimensional fractional micropolar equations. J Math Fluid Mech. 2020;22(2):28.
- Jia Y, Xie Q, Dong BQ. Global regularity of the 3D magneto-micropolar equations with fractional dissipation. Z Fur Angew Math Phys. 2022;73:1–15.
- Dong BQ, Li J, Wu J. Global well-posedness and large-time decay for the 2D micropolar equations. J Differ Equ. 2017;262(6):3488–3523.
- Dong B, Wu J, Xu X, et al. Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation. Calc Var Partial Differ Equ. 2021;60(3):116.
- Paicu M, Zhu N. Global regularity for the 2D MHD and tropical climate model with horizontal dissipation. J Nonlinear Sci. 2021;31:1–39.
- Bian D, Mao J, Pu X. Stability of hydrostatic equilibrium for the 2D BMHD system with partial dissipation. Commun Pure Appl Anal. 2022;21(10):3441–3462.
- Ji X, Bian D. On the stability of hydrostatic equilibrium in a uniform magnetic field with partial dissipation. Math Methods Appl Sci. 2022;45(8):4312–4342.
- Dong B, Wu J, Xu X, et al. Stability and exponential decay for the 2D anisotropic Navier-Stokes equations with horizontal dissipation. J Math Fluid Mech. 2021;23:1–11.
- Wang P. Stability for the 2D anisotropic surface quasi-geostrophic equation with horizontal dissipation. Appl Math Lett. 2022;123:107577.
- Li C, Wu J, Xu X. Smoothing and stabilization effects of magnetic field on electrically conducting fluids. J Differ Equ. 2021;276:368–403.
- Majda AJ, Bertozzi AL, Ogawa A. Vorticity and incompressible flow. Cambridge texts in applied mathematics. Appl Mech Rev. 2002;55(4):B77–B78.
- Tao T. Nonlinear dispersive equations: local and global analysis. American Mathematical Society; 2006.