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Mathematical Methods and Models in Phase Transitions

Editat de Alain Miranville
en Limba Engleză Hardback – 31 mar 2006
The modelling 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, ageing 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 etc., This book consists of 11 contributions from specialists in the mathematical modelling and analysis of phase transitions. The content of these contributions ranges from the modelling to the mathematical and numerical analysis. Furthermore, many numerical simulations are presented. Finally, the contributors have tried to give comprehensive and accurate reference lists. This book should thus serve as a reference book for researchers interested in phase transition phenomena.
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Specificații

ISBN-13: 9781594543173
ISBN-10: 1594543178
Pagini: 283
Ilustrații: tables & charts
Dimensiuni: 183 x 262 x 23 mm
Greutate: 0.82 kg
Editura: NOVA SCIENCE PUB INC

Cuprins

Preface; Introduction; Phase Separation in Stochastic Cahn-Hilliard Models; Mechanical effects in the Cahn-Hilliard model: A Review of Mathematical Results; Cahn-Hilliard type equations with concentration dependent mobility; Some models of phase separation based on a microforce balance; On the Cahn-Hilliard equation with dynamic boundary conditions; A new approach to phase transitions with thermal memory via the entropy balance; On some Penrose-Fife type systems with special heat flux laws; Attractors of phase-field systems with memory; Phase-field models for crystal growth and alloy solidification; Surface instability in materials science: morphological change of stressed solids; Variational approach in two-phase flows of complex fluids: transport and induced elastic stress; Index.