# American Institute of Mathematical Sciences

November  2006, 15(4): i-ii. doi: 10.3934/dcds.2006.15.4i

## Introduction

 1 Université de Poitiers, Laboratoire de Mathématiques et Applications, UMR CNRS 6086, SP2MI, 86962 Chasseneuil Futuroscope Cedex 2 Department of Mathematics, Washington State University, Pullman, WA 99164, United States 3 Department of Mathematics, Oregon State University, Corvallis, OR 97331

Published  May 2006

Phase transition phenomena are often encountered in real world situations and technological applications. Examples include solidification in complex alloys, melting, freezing or evaporation in food processing, glass formation and polymer crystallization in industrial applications. The modeling and analysis of problems involving such phenomena have attracted considerable attention in the scientific community over the past decades.
This special issue is an expansion from the papers presented at the special session "Mathematical Methods and Models in Phase Transitions" at the Fifth AIMS International Conference on Dynamical Systems and Differential Equations held at California State University at Pomona from June 17-21, 2004. This special session was organized by A. Miranville, R. Showalter and H.M. Yin. The papers presented at that conference have been supplemented with invited contributions from specialists. These papers include problems arising from industry and numerical analysis and computational issues arising in the simulation of solutions.

Citation: Alain Miranville, H. M. Yin, R. Showalter. Introduction. Discrete & Continuous Dynamical Systems, 2006, 15 (4) : i-ii. doi: 10.3934/dcds.2006.15.4i
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