# American Institute of Mathematical Sciences

March  2006, 6(2): i-ii. doi: 10.3934/dcdsb.2006.6.2i

## Introduction

 1 Mathematics Department, South Hall, Room 6707, University of California, Santa Barbara, CA 93106, United States

Published  December 2005

The field of Materials Science is probably the most multidisciplinary among the scientific and engineering fields. It relates to the study of matter, and the interactions between the atomic, nano-, micro-, and meso- scales. The focus of this special issue of DCDS-B is the modeling, analysis, and simulations of complex systems in Materials Science. In this special issue we present a collection of articles covering a wide range of topics, including ferromagnetism, liquid crystals, electro-kinetic hydrodynamics, and mass transport, among others. The articles have undergone a rigorous peer review process.
Understanding processes such as crack propagation and fracture, or solid state phase transformations is fundamental in the manufacture of new metallic alloys, designed for specific applications. In many cases, this involves relating the desired properties of a material, to the structure of the atoms and phases in that material. Advances in this area are presented in the papers of Alikakos, Bates, Cahn, Fife, Fusco, and Tanoglu, and in the paper of Yu and Du.

Citation: Carlos J. Garcia-Cervera. Introduction. Discrete & Continuous Dynamical Systems - B, 2006, 6 (2) : i-ii. doi: 10.3934/dcdsb.2006.6.2i
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