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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Colli, Pierluigi
Otros Autores: Kenmochi, Nobuyuki
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

MARC

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100 1 |a Colli, Pierluigi. 
245 1 0 |a Dissipative Phase Transitions. 
260 |a Singapore :  |b World Scientific Publishing Company,  |c 2006. 
300 |a 1 online resource (321 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Series on Advances in Mathematics for Applied Sciences 
588 0 |a Print version record. 
520 |a 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 pr. 
505 0 |a 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. 
505 8 |a 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. 
505 8 |a 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. 
505 8 |a 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. 
505 8 |a 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. 
504 |a Includes bibliographical references. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Energy dissipation. 
650 0 |a Phase transformations (Statistical physics) 
650 0 |a Phase transformations (Statistical physics)  |x Mathematical models. 
650 6 |a Dissipation d'énergie. 
650 6 |a Transitions de phase. 
650 6 |a Transitions de phase  |x Modèles mathématiques. 
650 7 |a Energy dissipation  |2 fast 
650 7 |a Phase transformations (Statistical physics)  |2 fast 
650 7 |a Phase transformations (Statistical physics)  |x Mathematical models  |2 fast 
700 1 |a Kenmochi, Nobuyuki. 
758 |i has work:  |a Dissipative phase transitions (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCFHDVjKYMkw6GrbGVdjwG3  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |z 9789812566508 
830 0 |a Series on advances in mathematics for applied sciences. 
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