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The Classical Stefan Problem: Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods

Autor S. C. Gupta
en Limba Engleză Paperback – 12 oct 2017
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
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Specificații

ISBN-13: 9780444635815
ISBN-10: 0444635815
Pagini: 750
Dimensiuni: 152 x 229 mm
Greutate: 1.18 kg
Ediția:2
Editura: ELSEVIER SCIENCE

Public țintă

Researchers in academia and industry in physics, mathematical physics, thermodynamics, and metallurgy

Cuprins

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

Recenzii

"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