[1] Pedlosky, J., Geophysical fluid dynamics, Springer Science & Business Media, 2013.
[2] Sukhatme, J., Smith, L.M., Local and nonlocal dispersive turbulence, Physics of Fluids, 21, 2009, 056603.
[3] Boubnov, B.M., Rhines, P.B., Effect of topography on a localized convection of a rotating fluid in shallow vessels, Fizika Atmosfery | Okeana, 35, 1999, 356–363.
[4] Rossby, C.G., On the propagation of frequencies and energy in certain types of oceanic and atmospheric waves, Journal of the Atmospheric Sciences, 2, 1945, 187–204.
[5] Maltrud, M., Vallis, G., Energy spectra and coherent structures in forced two-dimensional and betaplane turbulence, Journal of Fluid Mechanics, 228, 1991, 321–342.
[6] Rhines, P., Waves and turbulence on a beta-plane, Journal of Fluid Mechanics, 69, 1975, 417–443.
[7] Al-Jaboori, M.A.H., Wirosoetisno, D., Navier-Stokes equations on the β-plane, Discrete and Continuous Dynamical Systems - B, 16, 2011, 687–701.
[8] Wirosoetisno, D., Navier-Stokes equations on a rapidly rotating sphere, Discrete and Continuous Dynamical Systems - B, 20, 2015, 1251–1259.
[9] Miyajima, N., Wirosoetisno, D., Navier-Stokes equations on the β-plane: determining modes and nodes, Physica D: Nonlinear Phenomena, 386/387, 2019, 31–37.
[10] Chemin, J.Y., Desjardins, B., Gallagher, I., Grenier, E., Mathematical geophysics, volume 32 of Oxford Lecture Series in Mathematics and its Applications, The Clarendon Press, Oxford University Press, Oxford, 2006.
[11] Beardsley, R.C., Saunders, K.D., Warn-Varnas, A.C., Harding, J.M., An experimental and numerical study of the secular spin-up of a thermally stratified rotating fluid, Journal of Fluid Mechanics, 93, 1979, 161– 184.
[12] Lai, S., Wu, J., Xu, X., Zhang, J., Zhong, Y., Optimal decay estimates for 2D Boussinesq equations with partial dissipation, Journal of Nonlinear Science, 31, 2021, 16, 33.
[13] Lai, S., Wu, J., Zhong, Y., Stability and large-time behavior of the 2D Boussinesq equations with partial dissipation, Journal of Differential Equations, 271, 2021, 764–796.
[14] Lin, H., Suo, X., Wu, J., Xu, X., Stability for the 2D anisotropic magnetohydrodynamic equations with only horizontal magnetic diffusion, Journal of Nonlinear Science, 35, 2025, 55, 36.
[15] Lin, H., Liu, S., Zhang, H., Sun, Q., Stability for a system of the 2D incompressible magnetomicropolar fluid equations with partial mixed dissipation, Nonlinearity, 37, 2024, 055001, 28.
[16] Ma, L., On two-dimensional incompressible magneto-micropolar system with mixed partial viscosity, Nonlinear Analysis: Real World Applications, 40, 2018, 95–129.
[17] Dong, B., Wu, J., Xu, X., Zhu, N., Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation, Calculus of Variations and Partial Differential Equations, 60, 2021, 116, 21.
[18] Lai, S., Wu, J., Zhang, J., Stabilizing phenomenon for 2D anisotropic magnetohydrodynamic system near a background magnetic field, SIAM Journal on Mathematical Analysis, 53, 2021, 6073–6093.
[19] Lai, S., Wu, J., Zhang, J., Stabilizing effect of magnetic field on the 2D ideal magnetohydrodynamic flow with mixed partial damping, Calculus of Variations and Partial Differential Equations, 61, 2022, 126, 31.
[20] Lin, H., Suo, X., Wu, J., The global well-posedness and decay estimates for the 3D incompressible MHD equations with vertical dissipation in a strip, International Mathematics Research Notices, 2023, 19115–19155.
[21] Wu, J., Zhang, Q., Stability and optimal decay for a system of 3D anisotropic Boussinesq equations, Nonlinearity, 34, 2021, 5456–5484.
[22] Fefferman, C.L., McCormick, D.S., Robinson, J.C., Rodrigo, J.L., Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces, Archive for Rational Mechanics and Analysis, 223, 2017, 677–691.
[23] Jiang, F., Jiang, S., Zhao, Y., On inhibition of the Rayleigh-Taylor instability by a horizontal magnetic field in ideal MHD fluids with velocity damping, Journal of Differential Equations, 314, 2022, 574–652.
Journal of Applied and Computational Mechanics