Critical slowing down for relaxation in the Cahn–Hilliard equation with dynamic boundary conditions
Author:
Affiliation:
1. Research Institute for Electronic Science, Hokkaido University
2. Department of Physics, Faculty of Advanced Science and Engineering, Waseda University
Publisher
The Japan Society for Industrial and Applied Mathematics
Link
https://www.jstage.jst.go.jp/article/jsiaml/16/0/16_73/_pdf
Reference10 articles.
1. [1] J. W. Cahn and J. E. Hilliard, Free energy of a nonuniform system. I. Interfacial free energy, J. Chem. Phys., 28 (1958), 258–267.
2. [2] H. P. Fischer, P. Maass and W. Dieterich, Novel surface modes in spinodal decomposition, Phys. Rev. Lett., 79 (1997), 893–896.
3. [3] M. Fila, K. Ishige and T. Kawakami, Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition, Asymptot. Anal., 114 (2019), 37–57.
4. [4] M. Fila, S. Yoshikawa and S. Wada, The large diffusion limit for the heat equation with a dynamical boundary condition, Commun. Contemp. Math., 23 (2021), 2050003.
5. [5] T. Fukao, S.Yoshikawa and S. Wada, Structure-preserving finite difference schemes for the Cahn–Hilliard equation with dynamic boundary conditions in the one-dimensional case, Commun. Pure Appl. Anal., 16 (2017), 1915–1938.
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