| 1 | Constantin P , Foias C . Navier-Stokes Equations. Chicago: University of Chicago Press, 1988 |
| 2 | Pedlosky J . Geophysical Fluid Dynamics. New York: Springer-Verlag, 1987 |
| 3 | Majda A . Introduction to PDEs and Waves for the Atmosphere and Ocean. New York: Courant Institute of Mathematical Sciences, 2003 |
| 4 | Cushman-Roisin B , Jean-Marie B . Introduction to Geophysical Fluid Dynamics, Physical and Numerical Aspects. New York: Academic Press, 2011 |
| 5 | Rajagopal K R , Ruzicka M , Srinivasa A R . On the Oberbeck-Boussinesq approximation. Mathematical Models and Methods in Applied Sciences, 1996, 6 (8): 1157- 1167 |
| 6 | Chae D . Global regularity for the 2D Boussinesq equations with partial viscosity terms. Adv Math, 2006, 203: 497- 513 |
| 7 | Hou T Y , Li C . Global well-posedness of the viscous Boussinesq equations. Discrete Contin Dyn Syst, 2005, 12 (1): 1- 12 |
| 8 | Berselli L C , Spirito S . On the vanishing viscosity limit for the Navier-Stokes equations under slip boundary conditions in general domains. Commun Math Phys, 2012, 316: 171- 198 |
| 9 | Iftimie D , Planas G . Inviscid limits for the Navier-Stokes equations with Navier friction boundary conditions. Nonlinearity, 2006, 19 (4): 899- 918 |
| 10 | Xiao Y L , Xin Z P . On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition. Comm Pure Appl Math, 2007, 60: 1027- 1055 |
| 11 | Xiao Y L , Xin Z P , Wu J H . Vanishing viscosity limit for the 3D magnetohydrodynamic system with a slip boundary condition. J Funct Anal, 2009, 257: 3375- 3394 |
| 12 | Xiao Y L , Xin Z P . Remarks on vanishing viscosity limits for 3D Navier-Stokes equations with a slip boundary condition. Chin Ann Math, 2011, 32: 321- 332 |
| 13 | Berselli L C , Spirito S . On the Boussinesq system:regularity criteria and singular limits. Methods Appl Anal, 2011, 18: 391- 496 |
| 14 | Jiang S , Zhang J W , Zhao J N . Boundary-layer effects for the 2-D Boussinesq equations with vanishing diffusivity limit in the half plane. Journal of Differential Equations, 2011, 250 (10): 3907- 3936 |
| 15 | Berselli L C , Spirito S . An elementary approach to the inviscid limits for the 3D Navier-Stokes equations with slip boundary conditions and applications to the 3D Boussinesq equations. Nonlinear Differ Equ Appl, 2014, 21: 149- 166 |
| 16 | Wang J , Xie F . Zero dissipation limit and stability of boundary layers for the heat conductive Boussinesq equations in a bounded domain. Proc Roy Soc Edinburgh Sect A, 2015, 145 (3): 611- 637 |
| 17 | Li L R , Wang K , Hong M L . The Asymptotic limit for the 3D Boussinesq system. Chinese Quarrterly Journal of Mathematics, 2016, 31 (1): 51- 59 |
| 18 | Li H P , Xu Z H , Zhu X L . The vanishing diffusivity limit for the 2-D Boussinesq equations with boundary effct. Nonlinear Analysis, 2016, 133: 144- 160 |
| 19 | Zhang Z P . Vanishing diffusivity limit for the 3D heat-conductive Boussinesq equations with a slip boundary condition. J Math Anal Appl, 2018, 460 (1): 47- 57 |
| 20 | Navier C L M . Memoire sur les loir du mouvement des fluids. Memoires de l'Academie Royale des Sciences de l'Institut de France, 1823, 6: 389- 440 |
| 21 | Beir?o da Veiga H , Crispo F . Sharp inviscid limit results under Navier type boundary conditions:An $L^{p}$ theory. J Math Fluid Mech, 2010, 12: 397- 411 |
| 22 | Beir?o da Veiga H , Crispo F . Concerning the $ W^{k, p}$-inviscid limit for 3D flows under a slip boundary condition. J Math Fluid Mech, 2011, 13: 117- 135 |
| 23 | Chen P F , Xiao Y H , Zhang H . Vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier-Stokes equations with a slip boundary condition. Math Meth Appl Sci, 2017, 40: 5925- 5932 |
| 24 | Constantin P , Doering C R . Infinite Prandtl number convection. J Stat Phys, 1999, 94: 159- 172 |
)