عنوان

Dissipative phase transitions /

1281378887

9781281378880

9789812774293

9812774297

9789812566508

9812566503

b711101

Dissipative phase transitions /

[Book]

editors, Pierluigi Colli, Nobuyuki Kenmochi, Jürgen Sprekels.

Hackensack, N.J. :

World Scientific,

©2006.

1 online resource (xii, 300 pages) :

illustrations.

Series on advances in mathematics for applied sciences,

v. 71

1793-0901 ;

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.

0

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.

Dissipative phase transitions.

Energy dissipation.

Phase transformations (Statistical physics)

Phase transformations (Statistical physics)-- Mathematical models.

Energy dissipation.

Phase transformations (Statistical physics)

Phase transformations (Statistical physics)-- Mathematical models.

SCIENCE-- Energy.

SCIENCE-- Mechanics-- General.

SCIENCE-- Physics-- General.

PHF

SCI-- 024000

SCI-- 041000

SCI-- 055000

Colli, P., (Pierluigi),1958-

Kenmochi, Nobuyuki.

Sprekels, J.

20201208014855.0

pn

[Book]

Y