This volume emphasises studies related to classical Stefan problems. The term "Stefan problem" is generally used for heat transfer problems with phase-changes such as from the liquid to the solid. Stefan problems have some characteristics that are typical of them, but certain problems arising in fi
The Classical Stefan Problem: Basic Concepts, Modelling and Analysis
โ Scribed by S.C. Gupta (Eds.)
- Publisher
- Academic Press, Elsevier
- Year
- 2003
- Leaves
- 392
- Series
- North-Holland Series in Applied Mathematics and Mechanics 45
- Category
- Library
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โฆ Table of Contents
Content:
List of symbols
Pages xi-xiii
Preface
Pages xv-xvi
S.C. Gupta
Acknowledgements
Page xvii
Chapter 1 The Stefan problem and its classical formulation Original Research Article
Pages 1-38
Chapter 2 Thermodynamical and metallurgical aspects of Stefan problems Original Research Article
Pages 39-60
Chapter 3 Extended classical formulations of n-phase Stefan problems with nโฅ1 Original Research Article
Pages 61-84
Chapter 4 Stefan problem with supercooling: Classical formulation and analysis Original Research Article
Pages 85-128
Chapter 5 Superheating due to volumetric heat sources: The formulation and analysis Original Research Article
Pages 129-141
Chapter 6 Steady-state and degenerate classical Stefan problems Original Research Article
Pages 142-147
Chapter 7 Elliptic and parabolic variational inequalities Original Research Article
Pages 148-195
Chapter 8 The hyperbolic Stefan problem Original Research Article
Pages 196-223
Chapter 9 Inverse Stefan problems Original Research Article
Pages 224-270
Chapter 10 Analysis of the classical solutions of Stefan problems Original Research Article
Pages 271-321
Chapter 11 Regularity of the weak solutions of some Stefan problems Original Research Article
Pages 322-337
Appendix A Preliminaries
Pages 338-345
Appendix B Some function spaces and norms
Pages 345-348
Appendix C Fixed point theorems and maximum principles
Pages 349-350
Appendix D Sobolev spaces
Pages 351-354
Bibliography
Pages 355-380
Captions for figures
Pages 381-382
Subject index
Pages 383-385
๐ SIMILAR VOLUMES
This volume emphasises studies related toclassical Stefan problems. The term "Stefan problem" isgenerally used for heat transfer problems with phase-changes suchas from the liquid to the solid. Stefan problems have somecharacteristics that are typical of them, but certain problemsarising in fields s
This volume emphasises studies related toclassical Stefan problems. The term "Stefan problem" isgenerally used for heat transfer problems with phase-changes suchas from the liquid to the solid. Stefan problems have somecharacteristics that are typical of them, but certain problemsarising in fields s