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The classical Stefan problem : basic concepts, modelling, and analysis /
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 aris...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; Boston :
Elsevier,
2003.
|
| Colección: | North-Holland series in applied mathematics and mechanics ;
v. 45. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
Tabla de Contenidos:
- Cover
- Contents
- Chapter 1. The Stefan Problem and its Classical Formulation
- 1.1 Some Stefan and Stefan-like Problems
- 1.2 Free Boundary Problems with Free Boundaries of Codimension-two
- 1.3 The Classical Stefan Problem in One-dimension and the Neumann Solution
- 1.4 Classical Formulation of Multi-dimensional Stefan Problems
- Chapter 2. Thermodynamical and Metallurgical Aspects of Stefan Problems
- 2.1 Thermodynamical Aspects
- 2.2 Some Metallurgical Aspects of Stefan Problems
- 2.3 Morphological Instability of the Solid--Liquid Interface
- 2.4 Non-material Singular Surface: Generalized Stefan Condition
- Chapter 3. Extended Classical Formulations of n-phase Stefan Problems with n>1
- 3.1 One-phase Problems
- 3.2 Extended Classical Formulations of Two-phase Stefan Problems
- 3.3 Stefan problems with Implicit Free Boundary Conditions
- Chapter 4. Stefan Problem with Supercooling: Classical Formulation and Analysis
- 4.1 Introduction
- 4.2 A Phase-field Model for Solidification using Landau Ginzburg Free Energy Functional
- 4.3 Some Thermodynamically Consistent Phase-field and Phase Relaxation Models of Solidification
- 4.4 Solidification of Supercooled Liquid Without Curvature Effect and Kinetic Undercooling: Analysis of the Solution
- 4.5 Analysis of Supercooled Stefan Problems with the Modified Gibbs Thomson Relation
- Chapter 5. Superheating due to Volumetric Heat Sources: The Formulation and Analysis
- 5.1 The Classical Enthalpy Formulation of a One-dimensional Problem
- 5.2 The Weak Solution
- 5.3 Blow-up and Regularization
- Chapter 6. Steady-State and Degenerate Classical Stefan Problems
- 6.1 Some Steady-state Stefan Problems
- 6.2 Degenerate Stefan Problems
- Chapter 7. Elliptic and Parabolic Variational Inequalities
- 7.1 Introduction
- 7.2 The Elliptic Variational Inequality
- 7.3 The Parabolic Variational Inequality
- 7.4 Some Variational Inequality Formulations of Classical Stefan Problems
- Chapter 8. The Hyperbolic Stefan Problem
- 8.1 Introduction
- 8.2 Model I: Hyperbolic Stefan Problem with Temperature Continuity at the Interface
- 8.3 Model II: Formulation with Temperature Discontinuity at the Interface
- 8.4 Model III: Delay in the Response of Energy to Latent and Sensible Heats
- Chapter 9. Inverse Stefan Problems
- 9.1 Introduction
- 9.2 Well-posedness of the solution
- 9.3 Regularization
- 9.4 Determination of Unknown Parameters in Inverse Stefan Problems
- 9.5 Regularization of Inverse Heat Conduction Problems by Imposing Suitable Restrictions on the solution
- 9.6 Regularization of Inverse Stefan Problems Formulated as Equations in the form of Convolution Integrals
- 9.7 Inverse Stefan Problems Formulated as Defect Minimization Problems
- Chapter 10. Analysis of the Classical Solutions of Stefan Problems
- 10.1 One-dimensional One-phase Stefan Problems
- 10.2 One-dimensional Two-phase Stefan Problems
- 10.3 Analysis of the Classical Solutions of Multi-dimensional Stefan Problems
- Chapter 11. Regularity of the Weak Solutions of Some Stefan Problems
- 11.1 Regularity of the Weak solutions of One-dimensional Stefan Probl.