00000cmm a22000004i 4500 UP-99796217613547499 Buklod 20220922173813.0 m o u cr || |||a|a|a 220922s2018 xx u eng d 9780444635815 (iLib)UPD-00520971133 DLC DSCI rda eng DMLUC QC 321 G87 2018eb Gupta, S. C. author The classical Stefan problem basic concepts, modelling and analysis with quasi-analytical solutions and methods S.C. Gupta. Amsterdam, Netherlands Elsevier [2018] 1 online resource (xxiii, 726 pages) illustrations text rdacontent computer rdamedia online resource rdacarrier Includes bibliographical references (pages 683-716) and index. Chapter 1 - The Stefan Problem and Its Classical Formulation -- Chapter 2 - Thermodynamical and Metallurgical Aspects of Stefan Problems -- Chapter 3 - Extended Classical Formulations of n-Phase Stefan Problems With n ≥ 1 -- Chapter 4 - Stefan Problem With Supercooling: Classical Formulation and Analysis -- Chapter 5 - Superheating due to Volumetric Heat Sources: The Formulation and Analysis -- Chapter 6 - Steady-State and Degenerate Classical Stefan Problems -- Chapter 7 - Elliptic and Parabolic Variational Inequalities -- Chapter 8 - The Hyperbolic Stefan Problem -- Chapter 9 - Inverse Stefan Problems -- Chapter 10 - Analysis of the Classical Solutions of Stefan Problems -- Chapter 11 - Regularity of the Weak Solutions of Some Stefan Problems -- Chapter 12 - Quasi-Analytical Solutions and Methods -- Appendix A - Preliminaries -- Appendix B - Some Function Spaces and Norms -- Appendix C - Fixed Point Theorems and Maximum Principles -- Appendix D - Sobolev Spaces -- Bibliography -- Index. IP-based subscription, on campus only. Access via Electronic Resources of the UPD University Library Website. 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.--Provided by publisher. Heat Transmission. Boundary value problems. Electronic books. Electronic Resource https://www.sciencedirect.com/book/9780444635815/the-classical-stefan-problem Available for University of the Philippines System via Science Direct. Click here to access FO UPD DSCI Electronic Resource