참고문헌
- J. Benameur, S. Ibrahim, and M. Majdoub, Asymptotic study of a magneto-hydrodynamic system, Differential Integral Equations 18 (2005), no. 3, 299–324.
- J. Benameur and R. Selmi, Study of anisotropic MHD system in anisotropic Sobolev spaces, Ann. Fac. Sci. Toulouse Math. (6) 17 (2008), no. 1, 1–22. https://doi.org/10.5802/afst.1172
- B. Desjardins, E. Dormy, and E. Grenier, Stability of mixed Ekman-Hartmann boundary layers, Nonlinearity 12 (1999), no. 2, 181–199. https://doi.org/10.1088/0951-7715/12/2/001
- E. Dormy, These de Doctorat, Institut de Physique de Globe, place Jussieu, 75005 Paris, France.
- E. Dormy, P. Cardin, and D. Jault, MHD flow in a slightly differantially rotating spherical shell, with conducting inner core, in a dipolar magnetic field, Earth Planet. Sci. Lett. 160 (1998), 15–30. https://doi.org/10.1016/S0012-821X(98)00078-8
- I. Gallagher, Applications of Schochet’s methods to parabolic equations, J. Math. Pures Appl. (9) 77 (1998), no. 10, 989–1054. https://doi.org/10.1016/S0021-7824(99)80002-6
- I. Gallagher, Asymptotic of the solutions of hyperbolic equations with a skew-symmetric perturbation, J. Differential Equations 150 (1998), no. 2, 363–384. https://doi.org/10.1006/jdeq.1998.3487
- E. Grenier, Oscillatory perturbations of the Navier-Stokes equations, J. Math. Pures Appl. (9) 76 (1997), no. 6, 477–498. https://doi.org/10.1016/S0021-7824(97)89959-X
- D. Iftimie, The resolution of the Navier-Stokes equations in anisotropic spaces, Rev. Mat. Iberoamericana 15 (1999), no. 1, 1–36.
- D. Iftimie, A uniqueness result for the Navier-Stokes equations with vanishing vertical viscosity, SIAM J. Math. Anal. 33 (2002), no. 6, 1483–1493. https://doi.org/10.1137/S0036141000382126
- J.-L. Lions, Quelques methodes de resolution des problemes aux limites non lineaires, Dunod; Gauthier-Villars, Paris 1969.
- R. Selmi, Convergence results for MHD system, Int. J. Math. Math. Sci. 2006 (2006), Art. ID 28704, 19 pp.
- S. Schochet, Fast singular limits of hyperbolic PDEs, J. Differential Equations 114 (1994), no. 2, 476–512. https://doi.org/10.1006/jdeq.1994.1157
- R. Temam, Navier-Stokes Equations, Theory and Numerical Analysis, North Holland, Amsterdam, 1984.
피인용 문헌
- Time decay and exponential stability of solutions to the periodic 3D Navier-Stokes equation in critical spaces vol.37, pp.17, 2014, https://doi.org/10.1002/mma.3024
- Well-posedness and convergence results for strong solution to a 3D-regularized Boussinesq system 2016, https://doi.org/10.1002/mma.3950