The Classical Stefan Problem

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.

"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 MATH

• 1. The Stefan Problem and Its Classical Formulation2. Thermodynamical and Metallurgical Aspects of Stefan Problems3. Extended Classical Formulations of n-phase Stefan Problems with n>1 4. Stefan Problem with Supercooling: Classical Formulation and Analysis5. Superheating Due to Volumetric Heat Sources: Formulation and Analysis6. Steady-State and Degenerate Classical Stefan Problems7. Elliptic and Parabolic Variational Inequalities8. The Hyperbolic Stefan Problem9. Inverse Stefan Problems10. Analysis of the Classical Solutions of Stefan Problems11. Regularity of the Weak Solutions of Some Stefan Problems12. Quasi-Analytical Solutions and Methods