古典的ステファン問題（第２版） The Classical Stefan Problem : Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods（2）

著者名：Gupta, S.C.

Elsevier（2017/10/13発売）

• 言語：ENG
• ISBN：9780444635815
• eISBN：9780444635822

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.- 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

Table of Contents

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