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The Classical Stefan Problem: Basic Concepts, Modelling and Analysis

โœ 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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โœฆ 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 nโ‰ฅ1 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


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