1.

Record Nr.

UNINA9910451906403321

Titolo

Dissipative phase transitions [[electronic resource] /] / editors, Pierluigi Colli, Nobuyuki Kenmochi, Jürgen Sprekels

Pubbl/distr/stampa

Hackensack, N.J., : World Scientific, c2006

ISBN

1-281-37888-7

9786611378882

981-277-429-7

Descrizione fisica

1 online resource (321 p.)

Collana

Series on advances in mathematics for applied sciences, , 1793-0901 ; ; v. 71

Altri autori (Persone)

ColliP <1958-> (Pierluigi)

KenmochiNobuyuki

SprekelsJ

Disciplina

530.4/74

Soggetti

Phase transformations (Statistical physics)

Phase transformations (Statistical physics) - Mathematical models

Energy dissipation

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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                           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

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

2.1 Classical formulation

Sommario/riassunto

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



2.

Record Nr.

UNINA9910346843003321

Autore

Taylor Spencer

Titolo

Colloids and Interfaces in Oil Recovery / Spencer Taylor

Pubbl/distr/stampa

MDPI - Multidisciplinary Digital Publishing Institute, 2019

Basel, Switzerland : , : MDPI, , 2019

ISBN

9783039211074

3039211072

Descrizione fisica

1 electronic resource (234 p.)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Sommario/riassunto

It is well-known that colloid and interface science and petroleum production are inextricably linked. Whether in the reservoir, with its porous structure, or during recovery, crude oil is intimately associated with rock surfaces and with water, often in the form of emulsions. This situation leads to highly complex systems, comprising multiple colloids and interfaces, which require to be optimized if oil is to be recovered efficiently, both in terms of economic cost and with due concern for the environment. This book contains a compilation of contemporary research topics which illustrate various aspects of the importance of colloids and interfaces in crude oil recovery through modifying conditions between the rock, crude oil, and water in the reservoir, in order to achieve improved oil recovery. The specific topics covered relate both to conventional oils, in which waterflooding is the most common secondary and tertiary means of recovery, and to non-conventional heavy oil and natural bitumen, which require thermal recovery methods, owing to their high viscosity.