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Discrete & Continuous Dynamical Systems - A

November 2006 , Volume 15 , Issue 4

Special Issue
Mathematical Problems in Phase Transitions

Guest Editors:
A. Miranville, H. M. Yin and R. Showalter

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Introduction
Alain Miranville, H. M. Yin and R. Showalter
2006, 15(4): i-ii doi: 10.3934/dcds.2006.15.4i +[Abstract](650) +[PDF](28.8KB)
A rapidly converging phase field model
Xinfu Chen, G. Caginalp and Christof Eck
2006, 15(4): 1017-1034 doi: 10.3934/dcds.2006.15.1017 +[Abstract](787) +[PDF](245.4KB)
Phase-field modelling of nonequilibrium partitioning during rapid solidification in a non-dilute binary alloy
Denis Danilov and Britta Nestler
2006, 15(4): 1035-1047 doi: 10.3934/dcds.2006.15.1035 +[Abstract](816) +[PDF](158.1KB)
Complex transient patterns on the disk
Jonathan P. Desi, Evelyn Sander and Thomas Wanner
2006, 15(4): 1049-1078 doi: 10.3934/dcds.2006.15.1049 +[Abstract](860) +[PDF](704.3KB)
A reaction-diffusion equation with memory
M. Grasselli and V. Pata
2006, 15(4): 1079-1088 doi: 10.3934/dcds.2006.15.1079 +[Abstract](1024) +[PDF](218.0KB)
Some remarks on stability for a phase field model with memory
Michael Grinfeld and Amy Novick-Cohen
2006, 15(4): 1089-1117 doi: 10.3934/dcds.2006.15.1089 +[Abstract](930) +[PDF](321.5KB)
Long time behaviour of a singular phase transition model
Pavel Krejčí and Jürgen Sprekels
2006, 15(4): 1119-1135 doi: 10.3934/dcds.2006.15.1119 +[Abstract](935) +[PDF](201.9KB)
Connecting continua and curves of equilibria of the Cahn-Hilliard equation on the square
S. Maier-Paape and Ulrich Miller
2006, 15(4): 1137-1153 doi: 10.3934/dcds.2006.15.1137 +[Abstract](774) +[PDF](213.6KB)
On two-phase Stefan problem arising from a microwave heating process
V. S. Manoranjan, Hong-Ming Yin and R. Showalter
2006, 15(4): 1155-1168 doi: 10.3934/dcds.2006.15.1155 +[Abstract](756) +[PDF](196.9KB)
Thermodynamically consistent Cahn-Hilliard and Allen-Cahn models in elastic solids
Irena Pawłow
2006, 15(4): 1169-1191 doi: 10.3934/dcds.2006.15.1169 +[Abstract](933) +[PDF](226.9KB)
Global attractor for a parabolic-hyperbolic Penrose-Fife phase field system
Elisabetta Rocca and Giulio Schimperna
2006, 15(4): 1193-1214 doi: 10.3934/dcds.2006.15.1193 +[Abstract](1000) +[PDF](279.4KB)
Stability for steady-state patterns in phase field dynamics associated with total variation energies
Ken Shirakawa
2006, 15(4): 1215-1236 doi: 10.3934/dcds.2006.15.1215 +[Abstract](890) +[PDF](274.6KB)
Dynamics of shape memory alloys patches with mechanically induced transformations
Linxiang Wang and Roderick Melnik
2006, 15(4): 1237-1252 doi: 10.3934/dcds.2006.15.1237 +[Abstract](937) +[PDF](2515.1KB)

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