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Pointwise asymptotic convergence of solutions for a phase separation model
1. | Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D–10117 Berlin |
2. | Institute of Mathematics, Fudan University, Shanghai 200433, China |
[1] |
Pavel Krejčí, Elisabetta Rocca, Jürgen Sprekels. Phase separation in a gravity field. Discrete and Continuous Dynamical Systems - S, 2011, 4 (2) : 391-407. doi: 10.3934/dcdss.2011.4.391 |
[2] |
Alberto Farina. Some symmetry results for entire solutions of an elliptic system arising in phase separation. Discrete and Continuous Dynamical Systems, 2014, 34 (6) : 2505-2511. doi: 10.3934/dcds.2014.34.2505 |
[3] |
Alain Miranville, Giulio Schimperna. Nonisothermal phase separation based on a microforce balance. Discrete and Continuous Dynamical Systems - B, 2005, 5 (3) : 753-768. doi: 10.3934/dcdsb.2005.5.753 |
[4] |
Christian Heinemann, Christiane Kraus. Existence of weak solutions for a PDE system describing phase separation and damage processes including inertial effects. Discrete and Continuous Dynamical Systems, 2015, 35 (6) : 2565-2590. doi: 10.3934/dcds.2015.35.2565 |
[5] |
Giacomo Canevari, Pierluigi Colli. Solvability and asymptotic analysis of a generalization of the Caginalp phase field system. Communications on Pure and Applied Analysis, 2012, 11 (5) : 1959-1982. doi: 10.3934/cpaa.2012.11.1959 |
[6] |
Helmut Abels, Johannes Kampmann. Existence of weak solutions for a sharp interface model for phase separation on biological membranes. Discrete and Continuous Dynamical Systems - S, 2021, 14 (1) : 331-351. doi: 10.3934/dcdss.2020325 |
[7] |
Mauro Fabrizio, Claudio Giorgi, Angelo Morro. Phase transition and separation in compressible Cahn-Hilliard fluids. Discrete and Continuous Dynamical Systems - B, 2014, 19 (1) : 73-88. doi: 10.3934/dcdsb.2014.19.73 |
[8] |
Kota Kumazaki, Akio Ito, Masahiro Kubo. Generalized solutions of a non-isothermal phase separation model. Conference Publications, 2009, 2009 (Special) : 476-485. doi: 10.3934/proc.2009.2009.476 |
[9] |
Kelei Wang. The singular limit problem in a phase separation model with different diffusion rates $^*$. Discrete and Continuous Dynamical Systems, 2015, 35 (1) : 483-512. doi: 10.3934/dcds.2015.35.483 |
[10] |
Alessia Berti, Claudio Giorgi, Angelo Morro. Mathematical modeling of phase transition and separation in fluids: A unified approach. Discrete and Continuous Dynamical Systems - B, 2014, 19 (7) : 1889-1909. doi: 10.3934/dcdsb.2014.19.1889 |
[11] |
Yasuhito Miyamoto. Global bifurcation and stable two-phase separation for a phase field model in a disk. Discrete and Continuous Dynamical Systems, 2011, 30 (3) : 791-806. doi: 10.3934/dcds.2011.30.791 |
[12] |
Monica Conti, Stefania Gatti, Alain Miranville. Asymptotic behavior of the Caginalp phase-field system with coupled dynamic boundary conditions. Discrete and Continuous Dynamical Systems - S, 2012, 5 (3) : 485-505. doi: 10.3934/dcdss.2012.5.485 |
[13] |
Alain Miranville. Asymptotic behavior of the conserved Caginalp phase-field system based on the Maxwell-Cattaneo law. Communications on Pure and Applied Analysis, 2014, 13 (5) : 1971-1987. doi: 10.3934/cpaa.2014.13.1971 |
[14] |
Andrea Signori. Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme. Mathematical Control and Related Fields, 2020, 10 (2) : 305-331. doi: 10.3934/mcrf.2019040 |
[15] |
Pierluigi Colli, Gianni Gilardi, Elisabetta Rocca, Jürgen Sprekels. Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth. Discrete and Continuous Dynamical Systems - S, 2017, 10 (1) : 37-54. doi: 10.3934/dcdss.2017002 |
[16] |
Jaume Llibre, Marzieh Mousavi. Phase portraits of the Higgins–Selkov system. Discrete and Continuous Dynamical Systems - B, 2022, 27 (1) : 245-256. doi: 10.3934/dcdsb.2021039 |
[17] |
Nicolas Lecoq, Helena Zapolsky, P.K. Galenko. Numerical approximation of the Chan-Hillard equation with memory effects in the dynamics of phase separation. Conference Publications, 2011, 2011 (Special) : 953-962. doi: 10.3934/proc.2011.2011.953 |
[18] |
Irena PawŁow. The Cahn--Hilliard--de Gennes and generalized Penrose--Fife models for polymer phase separation. Discrete and Continuous Dynamical Systems, 2015, 35 (6) : 2711-2739. doi: 10.3934/dcds.2015.35.2711 |
[19] |
Xiongping Dai, Yunping Jiang. Distance entropy of dynamical systems on noncompact-phase spaces. Discrete and Continuous Dynamical Systems, 2008, 20 (2) : 313-333. doi: 10.3934/dcds.2008.20.313 |
[20] |
Dong Li, Chaoyu Quan, Jiao Xu. Energy-dissipation for time-fractional phase-field equations. Communications on Pure and Applied Analysis, , () : -. doi: 10.3934/cpaa.2022104 |
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