Dissipative phase transitions /

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Phase transition phenomena arise in a variety of relevant real world situations, such as melting and freezing in a solid?liquid system, evaporation, solid?solid phase transitions in shape memory alloys, combustion, crystal growth, damage in elastic materials, glass formation, phase transitions in po...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Colli, P. (Pierluigi), 1958-, Kenmochi, Nobuyuki, Sprekels, J.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hackensack, N.J. : World Scientific, ©2006.
Colección:Series on advances in mathematics for applied sciences ; v. 71.
Temas:
Phase transformations (Statistical physics)
Phase transformations (Statistical physics) > Mathematical models.
Energy dissipation.
Transitions de phase.
Transitions de phase > Modèles mathématiques.
Dissipation d'énergie.
SCIENCE > Physics > General.
SCIENCE > Mechanics > General.
SCIENCE > Energy.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • CONTENTS
  • Preface
  • Mathematical models including a hysteresis operator
  • 1 Introduction
  • 2 Mathematical treatment for hysteresis operator
  • 2.1 Play operator
  • 2.2 Stop operator
  • 2.3 The Duhem model
  • 3 Shape memory alloys
  • 4 Examples of hysteresis operator
  • 4.1 Solid-liquid phase transition
  • 4.2 Biological model
  • 4.3 Magnetostrictive thin film multi-layers
  • References
  • Modelling phase transitions via an entropy equation: long-time behaviour of the solutions
  • 1 Introduction
  • 2 The model and the resulting PDE's system
  • 3 Main results
  • 4 The existence and uniqueness result
  • 4.1 Proof of Theorem 5
  • 5 Uniform estimates on (0. +oo)
  • 6 The w-limit
  • References
  • Global solution to a one dimensional phase transition model with strong dissipation
  • 1 Introduction and derivation of the model
  • 2 Notation and main results
  • 3 Proof of Theorem 1.

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