Mathematic Methods and Models in Phase Transitions

Mathematic Methods and Models in Phase Transitions

by Alain Miranville


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Mathematic Methods and Models in Phase Transitions by Alain Miranville

The modeling and the study of phase transition phenomena are capital issues as they have essential applications in material sciences and in biological and industrial processes. We can mention, e.g., phase separation in alloys, aging of materials, microstructure evolution, crystal growth, solidification in complex alloys, surface diffusion in the presence of stress, evolution of the surface of a thin flow in heteroepitaxial growth, motion of voids in interconnects in integrated circuits, treatment of airway closure disease by surfactant injection, fuel injection, fire extinguishers, ....

Product Details

ISBN-13: 9781594543173
Publisher: Nova Science Publishers, Incorporated
Publication date: 07/28/2005
Pages: 283
Product dimensions: 7.20(w) x 10.30(h) x 1.00(d)

Table of Contents

Chapter 1 Phase Separation in Stochastic Cahn-Hilliard Models (D. Blömker et al., Geroge Mason University)
Chapter 2 Mechanical Effects in the Cahn-Hilliard Model: a Review of Mathematical Results (H. Garcke, Universtät Regensburg)
Chapter 3 Cahn-Hilliard Type Equations with Concentration Dependent Mobility (Y. Jingxue and L. Changchun, Jilin University)
Chapter 4 Some Models of Phase Separation Based on a Micorforce Balance (A. Miranville, Univerité de Poitiers)
Chapter 5 On the Cahn-Hilliard Equation with Dynamic Boundary Conditions (S. Zheng, Fudan University)
Chapter 6 A New Approach to Phase Transistions with Thermal Memory via the Entropy Balance (E. Bonetti, University of Pavia)
Chapter 7 On Some Penrose-Fife Type Systems with Special Heat Flux Laws (G. Gilardi, University of Pavia)
Chapter 8 Attractors of Phase-Field Systems with Memory (M. Grasselli and V. Pata, Poltecnico di Milano)
Chapter 9 Phase-Field Models for Crystal and Alloy Solidification (B. Nestler, University of Applied Sciences Karlsruhe)’ Chatper 10 Surface Instability in Material Science: Morphological Change and Delamination of Stressed Solids (J. Colin, Université de Poitiers)
Chapter 11 Variational Approach in Two-phase Flows of Complex Fluids: Trasnport and Induced Elastic Stress (C. Liu et al., Penn State University)

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