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Title Dissipative phase transitions / editors, Pierluigi Colli, Nobuyuki Kenmochi, Jürgen Sprekels.

Publication Info. Hackensack, N.J. : World Scientific, [2006]
©2006

Item Status

Description 1 online resource (xii, 300 pages) : illustrations.
Physical Medium polychrome
Description text file
Series Series on advances in mathematics for applied sciences, 1793-0901 ; v. 71
Series on advances in mathematics for applied sciences ; v. 71.
Bibliography Includes bibliographical references.
Contents 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.
Summary 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.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Phase transformations (Statistical physics)
Phase transformations (Statistical physics)
Phase transformations (Statistical physics) -- Mathematical models.
Phase transformations (Statistical physics) -- Mathematical models.
Energy dissipation.
Energy dissipation.
Genre/Form Electronic books.
Added Author Colli, P. (Pierluigi), 1958-
Kenmochi, Nobuyuki.
Sprekels, J.
Other Form: Print version: Dissipative phase transitions. Hackensack, N.J. : World Scientific, ©2006 (DLC) 2005046719
ISBN 9789812774293 (electronic book)
9812774297 (electronic book)
1281378887
9781281378880
9812566503 (alkaline paper)
9789812566508