
The Classical Stefan Problem
Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods
S.C. Gupta(Author)
Elsevier (Publisher)
2nd Edition
Published on 13. October 2017
Book
Paperback/Softback
750 pages
978-0-444-63581-5 (ISBN)
Description
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.
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.
Reviews / Votes
"This book cannot be treated as easy reading. To fully understand its content, one must have enough knowledge in physics and must be some kind of expert in mathematics. Of course, it is not a disadvantage of the book, but an essential feature of the discussed topic. Summing up, it might be said that the book under review is an impressing monograph con taining up-to-date results in an important branch of mathematical physics." --Zentralblatt MATHMore details
Edition
2nd edition
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Elsevier Science & Technology
Target group
Professional and scholarly
Researchers in academia and industry in physics, mathematical physics, thermodynamics, and metallurgy
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 228 mm
Width: 151 mm
Thickness: 40 mm
Weight
1162 gr
ISBN-13
978-0-444-63581-5 (9780444635815)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

S. C. Gupta
The Classical Stefan Problem
Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods
E-Book
10/2017
2nd Edition
Elsevier
€195.00
Available for download
Previous edition

Book
10/2003
JAI Press Inc.
€111.42
Article exhausted; check for reprint
Person
Professor S.C. Gupta retired in 1997 from the Department of Mathematics, Indian Institute of Science, Bangalore, India. He holds a PhD in Solid Mechanics and a DSc in "Analytical and Numerical Solutions of Free Boundary Problems.? His areas of research are inclusion and inhomogeneity problems, thermoelasticity, numerical computations, analytical and numerical solutions of free boundary problems and Stefan problems. He has published numerous articles in reputed international journals in many areas of his research.
Author
Professor (Retired), Department of Mathematics, Indian Institute of Science, Bangalore, India
Content
1. The Stefan Problem and Its Classical Formulation
2. Thermodynamical and Metallurgical Aspects of Stefan Problems
3. Extended Classical Formulations of n-phase Stefan Problems with n>1
4. Stefan Problem with Supercooling: Classical Formulation and Analysis
5. Superheating Due to Volumetric Heat Sources: Formulation and Analysis
6. Steady-State and Degenerate Classical Stefan Problems
7. Elliptic and Parabolic Variational Inequalities
8. The Hyperbolic Stefan Problem
9. Inverse Stefan Problems
10. Analysis of the Classical Solutions of Stefan Problems
11. Regularity of the Weak Solutions of Some Stefan Problems
12. Quasi-Analytical Solutions and Methods
2. Thermodynamical and Metallurgical Aspects of Stefan Problems
3. Extended Classical Formulations of n-phase Stefan Problems with n>1
4. Stefan Problem with Supercooling: Classical Formulation and Analysis
5. Superheating Due to Volumetric Heat Sources: Formulation and Analysis
6. Steady-State and Degenerate Classical Stefan Problems
7. Elliptic and Parabolic Variational Inequalities
8. The Hyperbolic Stefan Problem
9. Inverse Stefan Problems
10. Analysis of the Classical Solutions of Stefan Problems
11. Regularity of the Weak Solutions of Some Stefan Problems
12. Quasi-Analytical Solutions and Methods