The classical Stefan problem: basic concepts, modelling and analysis with quasi-analytical solutions and methods – Ebook PDF Instant Delivery – ISBN(s): 9780444635815,9780444635822,0444635815,0444635823
Product details:
- ISBN-10 : 0444635815
- ISBN-13 : 978-0444635815
- Author: S.C. Gupta
The Classical Stefan Problem: Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods, New Edition, provides fundamental theory, concepts, modelling and analysis of the physical, mathematical, thermodynamical and metallurgical properties of classical Stefan and Stefan-like problems as applied to heat transfer problems involving phase-changes, such as from liquid to solid.
This self-contained work reports and derives the results from tensor analysis, differential geometry, non-equilibrium thermodynamics, physics and functional analysis, and is thoroughly enriched with many appropriate references for an in-depth background reading on theorems. This new edition includes more than 400 pages of new material on quasi-analytical solutions and methods of classical Stefan and Stefan-like problems. The book aims to bridge the gap between the theoretical and solution aspects of the afore-mentioned problems.
Table contents:
Chapter 1: The Stefan Problem and Its Classical Formulation
Chapter 2: Thermodynamical and Metallurgical Aspects of Stefan Prob
Chapter 3: Extended Classical Formulations of n-Phase Stefan Proble
Chapter 4: Stefan Problem With Supercooling: Classical Formulation an
Chapter 5: Superheating due to Volumetric Heat Sources: The Formulation and Analysis
Chapter 6: Steady-State and Degenerate Classical Stefan Problems
Chapter 7: Elliptic and Parabolic Variational Inequalities
Chapter 8: The Hyperbolic Stefan Problem
Chapter 9: Inverse Stefan Problems
Chapter 10: Analysis of the Classical Solutions of Stefan Problems
Chapter 11: Regularity of the Weak Solutions of Some Stefan Problems
Chapter 12: Quasi-Analytical Solutions and Methods
Appendix A: Preliminaries
Appendix B: Some Function Spaces and Norms
Appendix C: Fixed Point Theorems and Maximum Principles
Appendix D: Sobolev Spaces
Bibliography
Index
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