The Classical Stefan Problem

Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods

Häftad, Engelska, 2017

Av S.C. Gupta, S. C. Gupta

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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.

Provides both the phenomenology and mathematics of Stefan problems
Bridges physics and mathematics in a concrete and readable manner
Presents well-organized chapters that start with proper definitions followed by explanations and references for further reading
Includes both numerical and quasi-analytical solutions and methods of classical Stefan and Stefan-like problems

Produktinformation

Utgivningsdatum2017-10-13
Mått152 x 229 x undefined mm
Vikt1 050 g
FormatHäftad
SpråkEngelska
Antal sidor750
Upplaga2
FörlagElsevier Science
ISBN9780444635815

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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.

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

"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