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Dynamic phase transition for binary systems in cylindrical geometry
1. | Department of Mathematics and Taidar Institute of Mathematical Science, National Taiwan University, Taipei, 10617, Taiwan |
2. | Department of Mathematics and Taidar Institute of Mthematical Science, National Taiwan University, Taipei, 10617, Taiwan |
References:
[1] |
Stephen J. Blundell and Katherine M. Blundell, "Concepts in Thermal Physics," Oxford University Press, 2008. |
[2] |
C. M. Elliott and H. Garcke, Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix, Physica D, 109 (1997), 242-256.
doi: 10.1016/S0167-2789(97)00066-3. |
[3] |
J. E. Hilliard, Spinodal decomposition, in Phase Transformations, American Society for Metal, Cleveland, (1970), 497-560. |
[4] |
T. Ma and S. Wang, "Bifurcation Theory and Applications," vol. 53 of World Scientific Series on Nonlinear Science. Series A: Monographs and Treatises, |
[5] |
T. Ma and S. Wang, Dynamic phase transition theory in PVT systems, Indiana Univ. Math. J., 57 (2008), 2861-2889.
doi: 10.1512/iumj.2008.57.3630. |
[6] |
T. Ma and S. Wang, Cahn-Hilliard equations and phase transition dynamics for binary systems, Discrete Contin. Dyn. Syst. Ser. B, 11 (2009), 741-784.
doi: 10.3934/dcdsb.2009.11.741. |
[7] |
T. Ma and S. Wang, Phase separation of binary systems, Phys. Rev. A., 388 (2009), 4811-4817. |
[8] |
J. Moser, A rapidly convergent iteration method and nonlinear partial differential equation. I, Ann. Sc. Norm. Super. Pisa, 20 (1966), 265-315. |
[9] |
L. E. Reichl, "A Modern Course in Statistical Physics," (Second ed.) A Wiley-Interscinece Publication. New York: John Wiley & Sons Inc. 1998. |
show all references
References:
[1] |
Stephen J. Blundell and Katherine M. Blundell, "Concepts in Thermal Physics," Oxford University Press, 2008. |
[2] |
C. M. Elliott and H. Garcke, Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix, Physica D, 109 (1997), 242-256.
doi: 10.1016/S0167-2789(97)00066-3. |
[3] |
J. E. Hilliard, Spinodal decomposition, in Phase Transformations, American Society for Metal, Cleveland, (1970), 497-560. |
[4] |
T. Ma and S. Wang, "Bifurcation Theory and Applications," vol. 53 of World Scientific Series on Nonlinear Science. Series A: Monographs and Treatises, |
[5] |
T. Ma and S. Wang, Dynamic phase transition theory in PVT systems, Indiana Univ. Math. J., 57 (2008), 2861-2889.
doi: 10.1512/iumj.2008.57.3630. |
[6] |
T. Ma and S. Wang, Cahn-Hilliard equations and phase transition dynamics for binary systems, Discrete Contin. Dyn. Syst. Ser. B, 11 (2009), 741-784.
doi: 10.3934/dcdsb.2009.11.741. |
[7] |
T. Ma and S. Wang, Phase separation of binary systems, Phys. Rev. A., 388 (2009), 4811-4817. |
[8] |
J. Moser, A rapidly convergent iteration method and nonlinear partial differential equation. I, Ann. Sc. Norm. Super. Pisa, 20 (1966), 265-315. |
[9] |
L. E. Reichl, "A Modern Course in Statistical Physics," (Second ed.) A Wiley-Interscinece Publication. New York: John Wiley & Sons Inc. 1998. |
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