TY  - BOOK
AU  - Colli,P.
AU  - Kenmochi,Nobuyuki
AU  - Sprekels,J.
TI  - Dissipative phase transitions
T2  - Series on advances in mathematics for applied sciences,
SN  - 9789812774293
AV  - QC175.16.P5 D57 2006eb
U1  - 530.4/74 22
PY  - 2006///
CY  - Hackensack, N.J.
PB  - World Scientific
KW  - Phase transformations (Statistical physics)
KW  - Mathematical models
KW  - Energy dissipation
KW  - Transitions de phase
KW  - Modèles mathématiques
KW  - Dissipation d'énergie
KW  - SCIENCE
KW  - Physics
KW  - General
KW  - bisacsh
KW  - Mechanics
KW  - Energy
KW  - fast
KW  - Electronic books
N1  - Includes bibliographical references; 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
N2  - 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 polymers, and plasticity. The practical interest of such phenomenology is evident and has deeply influenced the technological development of our society, stimulating intense mathematical research in this area. This book analyzes and approximates some models and related partial differential equation problems that involve phase transitions in different contexts and include dissipation effects
UR  - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210571
ER  -