Cargando…
Dissipative Phase Transitions.
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing Company,
2006.
|
| Colección: | Series on advances in mathematics for applied sciences.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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 4 Proof of Theorem 2 ; References ; A global in time result for an integro-differential parabolic inverse problem in the space of bounded functions ; 1 Introduction ; 2 Definitions and main results ; 2.1 The main abstract result ; 2.2 An application.
- 3 The weighted spaces 4 An equivalent fixed point system ; 5 Proof of Theorem 6 ; References ; Weak solutions for Stefan problems with convections ; 1 Introduction ; 2 Stefan problem in non-cylindrical domain with convection governed by Navier-Stokes equations.