Diff. Equa. & Dyna. Sys.

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Qualitative and Quantitative Analysis for the Mathematical Models of Phase Separation and Transition. Applications

By Alain Miranville and Costică Moroșanu

ISBN-10: 1-60133-024-3 ISBN-13: 978-1-60133-024-6

This monograph gives a comprehensive study of some mathematical models in phase separation and transition.

Phase change problems can be encountered in many situations in life science, including materials science, biology, biochemistry, geology, economics and physics.

The following topics are addressed in the book:

1)The mathematical analysis of generalizations of the Allen-Cahn equation and the Caginalp phase-field system with different types of boundary conditions.

2)The analysis, numerical analysis and implementation of fractional steps schemes for these models.

The monograph should be of interest to advanced graduate students and researchers interested in the analysis and applications of phase change problems.

The introductory chapter and annexes cover many of the necessary tools making it much easier for the reader to follow the other chapters. The book is thus accessible to researchers who are outside of mathematical analysis and wish to study these mathematical models, as well as the numerical methods presented.

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