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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| Other Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Hackensack, N.J. :
World Scientific,
©2006.
|
| Series: | Series on advances in mathematics for applied sciences ;
v. 71. |
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| 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. |
| Physical Description: | 1 online resource (xii, 300 pages) : illustrations |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9789812774293 9812774297 1281378887 9781281378880 9786611378882 661137888X |
| ISSN: | 1793-0901 ; |
Staff View
MARC
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| 588 | 0 | |a Print version record. | |
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| 650 | 0 | |a Phase transformations (Statistical physics) |x Mathematical models. | |
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| 650 | 6 | |a Transitions de phase. | |
| 650 | 6 | |a Transitions de phase |x Modèles mathématiques. | |
| 650 | 6 | |a Dissipation d'énergie. | |
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| 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. |
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| id | ZDB-4-EBA-ocn285162701 |
| illustrated | Illustrated |
| indexdate | 2025-04-11T08:36:15Z |
| institution | BVB |
| isbn | 9789812774293 9812774297 1281378887 9781281378880 9786611378882 661137888X |
| issn | 1793-0901 ; |
| language | English |
| oclc_num | 285162701 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (xii, 300 pages) : illustrations |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | World Scientific, |
| record_format | marc |
| series | Series on advances in mathematics for applied sciences ; |
| series2 | Series on advances in mathematics for applied sciences, |
| spelling | Dissipative phase transitions / editors, Pierluigi Colli, Nobuyuki Kenmochi, Jürgen Sprekels. Hackensack, N.J. : World Scientific, ©2006. 1 online resource (xii, 300 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Series on advances in mathematics for applied sciences, 1793-0901 ; v. 71 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. 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. Print version record. English. Phase transformations (Statistical physics) http://id.loc.gov/authorities/subjects/sh85100646 Phase transformations (Statistical physics) Mathematical models. Energy dissipation. http://id.loc.gov/authorities/subjects/sh90000752 Transitions de phase. Transitions de phase Modèles mathématiques. Dissipation d'énergie. SCIENCE Physics General. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Energy. bisacsh Energy dissipation fast Phase transformations (Statistical physics) fast Phase transformations (Statistical physics) Mathematical models fast Colli, P. (Pierluigi), 1958- https://id.oclc.org/worldcat/entity/E39PCjGTgKXDbVm8BfQ9vWm3cd http://id.loc.gov/authorities/names/n2003010828 Kenmochi, Nobuyuki. http://id.loc.gov/authorities/names/no2002032555 Sprekels, J. http://id.loc.gov/authorities/names/n88040969 has work: Dissipative phase transitions (Text) https://id.oclc.org/worldcat/entity/E39PCFHDVjKYMkw6GrbGVdjwG3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Dissipative phase transitions. Hackensack, N.J. : World Scientific, ©2006 (DLC) 2005046719 Series on advances in mathematics for applied sciences ; v. 71. http://id.loc.gov/authorities/names/n90710999 |
| spellingShingle | Dissipative phase transitions / Series on advances in mathematics for applied sciences ; 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. Phase transformations (Statistical physics) http://id.loc.gov/authorities/subjects/sh85100646 Phase transformations (Statistical physics) Mathematical models. Energy dissipation. http://id.loc.gov/authorities/subjects/sh90000752 Transitions de phase. Transitions de phase Modèles mathématiques. Dissipation d'énergie. SCIENCE Physics General. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Energy. bisacsh Energy dissipation fast Phase transformations (Statistical physics) fast Phase transformations (Statistical physics) Mathematical models fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85100646 http://id.loc.gov/authorities/subjects/sh90000752 |
| title | Dissipative phase transitions / |
| title_auth | Dissipative phase transitions / |
| title_exact_search | Dissipative phase transitions / |
| title_full | Dissipative phase transitions / editors, Pierluigi Colli, Nobuyuki Kenmochi, Jürgen Sprekels. |
| title_fullStr | Dissipative phase transitions / editors, Pierluigi Colli, Nobuyuki Kenmochi, Jürgen Sprekels. |
| title_full_unstemmed | Dissipative phase transitions / editors, Pierluigi Colli, Nobuyuki Kenmochi, Jürgen Sprekels. |
| title_short | Dissipative phase transitions / |
| title_sort | dissipative phase transitions |
| topic | Phase transformations (Statistical physics) http://id.loc.gov/authorities/subjects/sh85100646 Phase transformations (Statistical physics) Mathematical models. Energy dissipation. http://id.loc.gov/authorities/subjects/sh90000752 Transitions de phase. Transitions de phase Modèles mathématiques. Dissipation d'énergie. SCIENCE Physics General. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Energy. bisacsh Energy dissipation fast Phase transformations (Statistical physics) fast Phase transformations (Statistical physics) Mathematical models fast |
| topic_facet | Phase transformations (Statistical physics) Phase transformations (Statistical physics) Mathematical models. Energy dissipation. Transitions de phase. Transitions de phase Modèles mathématiques. Dissipation d'énergie. SCIENCE Physics General. SCIENCE Mechanics General. SCIENCE Energy. Energy dissipation Phase transformations (Statistical physics) Mathematical models |
| work_keys_str_mv | AT collip dissipativephasetransitions AT kenmochinobuyuki dissipativephasetransitions AT sprekelsj dissipativephasetransitions |