Time periodic solution for the compressible magneto-micropolar fluids with external forces in $\mathbb{R}^3$

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참고문헌 (26)

1. Y. Amirat, "Weak solutions to the equations of motion for compressible magnetic fluids", J. Math. Pures Appl, 91(5), pp.433~467 (2009)[DOI]
2. B. Berkovski, "Magnetic Fluids and Applications Handbook" (1996), Begell House
3. J. Brezina, "Spectral properties of the linearized compressible Navier-Stokes equation around time-periodic parallel flow", J. Differential Equations, 255(6), pp.1132~1195 (2013)[DOI]
4. H. Cai, "Periodic solutions to the compressible magnetohydrodynamic equations in a periodic domain", J. Math. Anal. Appl, 426(1), pp.172~193 (2015)[DOI]
5. H. Cai, "Time periodic solutions to the three-dimensional equations of compressible magnetohydrodynamic flows", Discrete Contin. Dyn. Syst, 36(4), pp.1847~1868 (2016)[DOI]
6. P. A. Davidson, "An Introduction to Magnetohydrodynamics, Cambridge Texts in Applied Mathematics" (2001), Cambridge Univ. Press
7. A. C. Eringen, "Theory of micropolar fluids", J. Math. Mech, 16, pp.1~18 (1966)[DOI]
8. E. Feireisl, "On the motion of a viscous compressible fluid driven by a time-periodic external force", Arch. Ration. Mech. Anal, 149(1), pp.69~96 (1999)[DOI]
9. E. Feireisl, "Time-periodic solutions to the full Navier-Stokes-Fourier system", Arch. Ration. Mech. Anal, 204(3), pp.745~786 (2012)[DOI]
10. P. M. Hatzikonstantinou, "A general theoretical model for the magnetohydrodynamic flow of micropolar magnetic fluids Application to Stokes flow", Math. Methods Appl. Sci, 33(2), pp.233~248 (2010)[DOI]
11. C. Jin, "Time periodic solution for a 3-D compressible Navier-Stokes system with an external force in R3", J. Differential Equations, 259(7), pp.2576~2601 (2015)[DOI]
12. C. Jin, "Time periodic solution to the compressible Navier-Stokes equations in a periodic domain", Acta Math. Sci. Ser. B(Engl. Ed.), 36(4), pp.1015~1029 (2016)[DOI]
13. Y. Kagei, "Existence and stability of time periodic solution to the compressible Navier-Stokes equation for time periodic external force with symmetry", J. Differential Equations, 258(2), pp.399~444 (2015)[DOI]
14. H. Ma, "Time periodic solutions of compressible Navier-Stokes equations", J. Differential Equations, 248(9), pp.2275~2293 (2010)[DOI]
15. R. Moreau, "Magnetohydrodynamics" (1990), Kluwer Acad. Publ
16. P. K. Papadopoulos, "Ferrofluid pipe flow under the influence of the magnetic field of a cylindrical coil", Phys. Fluids, 24, pp.122002~ (2012)
17. R. E. Rosensweig, "Ferrohydrodynamics" (1997), Dover Publications
18. Z. Tan, "On the motion of the 3D compressible micropolar fluids with time periodic external forces", J. Math. Phys, 59(8), pp.28~ (2018)[DOI]
19. Z. Tan, "Time periodic solutions of the compressible magnetohydrodynamic equations", Nonlinear Anal, 76, pp.153~164 (2013)[DOI]
20. K. Tsuda, "On the existence and stability of time periodic solution to the compressible Navier-Stokes equation on the whole space", Arch. Ration. Mech. Anal, 219(2), pp.637~678 (2016)[DOI]
21. A. Valli, "Periodic and stationary solutions for compressible Navier-Stokes equations via a stability method", Ann. Scuola Norm. Sup. Pisa Cl. Sci, 10(4), pp.607~647 (1983)
22. R. Y. Wei, "Global existence and optimal convergence rates of solutions for 3D compressible magneto-micropolar fluid equations", J. Differential Equations, 263(5), pp.2457~2480 (2017)[DOI]
23. J. Yuan, "Existence theorem and blow-up criterion of the strong solutions to the magnetomicropolar fluid equations", Math. Methods Appl. Sci, 31(9), pp.1113~1130 (2008)[DOI]
24. P. Zhang, "Blow-up criterion for 3D compressible viscous magneto-micropolar fluids with initial vacuum", Bound. Value Probl, 160, pp.16~ (2013)[DOI]
25. P. Zhang, "Decay of the compressible magneto-micropolar fluids", J. Math. Phys, 59(2), pp.11~ (2018)[DOI]
26. X. Zhang, "Existence and uniqueness of time periodic solutions to the compressible magneto-micropolar fluids in a periodic domain", Z. Angew. Math. Phys, 71(6), pp.24~ (2020)[DOI]

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