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Discrete and Continuous Dynamical Systems - Series A (DCDS-A)
 

Volume 15,Number 4,     August 2006

Special Issue
Mathematical Problems in Phase Transitions

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

1

Introduction   Pages : i - ii

Alain Miranville,  H. M. Yin and R. Showalter

 Abstract       Full Text      Related Articles

2

A rapidly converging phase field model   Pages : 1017 - 1034

Xinfu Chen,  G. Caginalp and Christof Eck

 Abstract       Full Text      Related Articles

3

Phase-field modelling of nonequilibrium partitioning during rapid solidification in a non-dilute binary alloy   Pages : 1035 - 1047

Denis Danilov and Britta Nestler

 Abstract       Full Text      Related Articles

4

Complex transient patterns on the disk   Pages : 1049 - 1078

Jonathan P. Desi,  Evelyn Sander and Thomas Wanner

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5

A reaction-diffusion equation with memory   Pages : 1079 - 1088

M. Grasselli and V. Pata

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6

Some remarks on stability for a phase field model with memory   Pages : 1089 - 1117

Michael Grinfeld and Amy Novick-Cohen

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7

Long time behaviour of a singular phase transition model   Pages : 1119 - 1135

Pavel Krejčí and Jürgen Sprekels

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8

Connecting continua and curves of equilibria of the Cahn-Hilliard equation on the square   Pages : 1137 - 1153

S. Maier-Paape and Ulrich Miller

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9

On two-phase Stefan problem arising from a microwave heating process   Pages : 1155 - 1168

V. S. Manoranjan,  Hong-Ming Yin and R. Showalter

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10

Thermodynamically consistent Cahn-Hilliard and Allen-Cahn models in elastic solids   Pages : 1169 - 1191

Irena Pawłow

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11

Global attractor for a parabolic-hyperbolic Penrose-Fife phase field system   Pages : 1193 - 1214

Elisabetta Rocca and Giulio Schimperna

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12

Stability for steady-state patterns in phase field dynamics associated with total variation energies   Pages : 1215 - 1236

Ken Shirakawa

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13

Dynamics of shape memory alloys patches with mechanically induced transformations   Pages : 1237 - 1252

Linxiang Wang and Roderick Melnik

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