The Classical Stefan Problem: Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods, New Edition, provides the fundamental theory, concepts, modeling, and analysis of the physical, mathematical, thermodynamical, and metallurgical properties of classical Stefan and Stefan-like problems as applied to heat transfer problems with 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 in-depth background reading on theorems. . Each chapter in this fully revised and updated edition begins with basic concepts and objectives, also including direction on how the subject matter was developed. It contains 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.

1. The Stefan Problem and Its Classical Formulation
2. Thermodynamical and Metallurgical Aspects of Stefan Problems
>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

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.