Asymptotic behavior of solutions for the generalized MHD and Hall-MHD systems in $\mathbb{R}^n$

키워드

참고문헌 (30)

1. D. Chae, "Well-posedness for Hall-magnetohydrodynamics", Ann. Inst. H. Poincare Anal. Non Lineaire, 31(3), pp.555~565 (2014)[DOI]
2. D. Chae, "On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics", J. Differential Equations, 256(11), pp.3835~3858 (2014)[DOI]
3. D. Chae, "On the temporal decay for the Hall-magnetohydrodynamic equations", J. Differential Equations, 255(11), pp.3971~3982 (2013)[DOI]
4. D. Chae, "Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion", J. Math. Fluid Mech., 17(4), pp.627~638 (2015)[DOI]
5. D. Chae, "Singularity formation for the incompressible Hall-MHD equations without resistivity", Ann. Inst. H. Poincare Anal. Non Lineaire, 33(4), pp.1009~1022 (2016)[DOI]
6. P. Han, "Large time decay properties of solutions to a viscous Boussinesq system in a half space", Adv. Differential Equations, 19(1-2), pp.87~132 (2014)
7. Z. Jiang, "Asymptotic behavior of strong solutions to the 3D Navier-Stokes equations with a nonlinear damping term", Nonlinear Anal., 75(13), pp.5002~5009 (2012)[DOI]
8. Z. Jiang, "Local existence for the generalized MHD equations" (2014)
9. Q. Jiu, "Decay of solutions to the three-dimensional generalized Navier-Stokes equations", Asymptot. Anal., 94(1-2), pp.105~124 (2015)[DOI]
10. R. Kajikiya, "On <TEX>$L^2$<", TEX> decay of weak solutions of the Navier-Stokes equations in <TEX>$\mathbb{R}^n$<, Math. Z., pp.1986, 192(1)[DOI]
11. N. Pan, "Global regularity for the 3D generalized Hall-MHD system", Appl. Math. Lett., 61, pp.62~66 (2016)[DOI]
12. "J. Math. Anal. Appl.", 2017, 604~611, 10.1016[DOI]
13. M. E. Schonbek, "Decay of solutions to parabolic conservation laws", Comm. Partial Differential Equations, 5(5), pp.449~473 (1980)[DOI]
14. M. E. Schonbek, "<TEX>$L^2$<", TEX> decay for weak solutions of the Navier-Stokes equations, 1985, pp.88(3), 209~222
15. M. E. Schonbek, "Large time behaviour of solutions to the Navier-Stokes equations", Comm. Partial Differential Equations, 11(7), pp.733~763 (1986)[DOI]
16. M. E. Schonbek, "Lower bounds of rates of decay for solutions to the Navier-Stokes equations", J. Amer. Math. Soc., 4(3), pp.423~449 (1991)[DOI]
17. M. E. Schonbek, "Large time behaviour of solutions to the Navier-Stokes equations in <TEX>$H^m$<", TEX> spaces, 1995, pp.20(1-2), 103~117
18. M. E. Schonbek, "On the decay of higher-order norms of the solutions of Navier-Stokes equations", Proc. Roy. Soc. Edinburgh Sect. A, 126(3), pp.677~685 (1996)[DOI]
19. M. Sermange, "Some mathematical questions related to the MHD equations", Comm. Pure Appl. Math., 36(5), pp.635~664 (1983)[DOI]
20. R. Wan, "Global regularity for generalized Hall magneto-hydrodynamics systems", Electron. J. Differential Equations, 2015(179) (2015)
21. R. Wan, "On global existence, energy decay and blow-up criteria for the Hall-MHD system", J. Differential Equations, 259(11), pp.5982~6008 (2015)[DOI]
22. S. Weng, "On analyticity and temporal decay rates of solutions to the viscous resistive Hall-MHD system", J. Differential Equations, 260(8), pp.6504~6524 (2016)[DOI]
23. S. Weng, "Space-time decay estimates for the incompressible viscous resistive MHD and Hall-MHD equations", J. Funct. Anal., 270(6), pp.2168~2187 (2016)[DOI]
24. M. Wiegner, "Decay results for weak solutions of the Navier-Stokes equations on <TEX>$\mathbb{R}^n$<", TEX>, 1987, pp.35(2), 303~313
25. J.Wu, "Generalized MHD equations", J. Differential Equations, 195(2), pp.284~312 (2003)[DOI]
26. J.Wu, "Global regularity for a class of generalized magnetohydrodynamic equations", J. Math. Fluid Mech., 13(2), pp.295~305 (2011)[DOI]
27. X. Wu, "Global existence and asymptotic behavior for the 3D generalized Hall-MHD system", Nonlinear Anal., 151, pp.41~50 (2017)[DOI]
28. Z. Ye, "Regularity criteria and small data global existence to the generalized viscous Hall-magnetohydrodynamics", Comput. Math. Appl., 70(8), pp.2137~2154 (2015)[DOI]
29. Y. Zhou, "Regularity criteria for the generalized viscous MHD equations", Ann. Inst. H. Poincare Anal. Non Lineaire, 24(3), pp.491~505 (2007)[DOI]
30. Y. Zhou, "A remark on the decay of solutions to the 3-D Navier-Stokes equations", Math. Methods Appl. Sci., 3(10), pp.1223~1229 (2007)

관련 논문AI추천