The Classical Stefan Problem

Written By S. C. Gupta
The Classical Stefan Problem
  • Publsiher : Elsevier
  • Release : 01 May 2017
  • ISBN : 9780444635815
  • Pages : 550 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled The Classical Stefan Problem written by S. C. Gupta which was release on 01 May 2017, this book published by Elsevier. Available in PDF, EPUB and Kindle Format. Book excerpt: The Classical Stefan Problem: Basic Concepts, Modelling and Analysis, Second Edition, provides the fundamental theoretical concepts, modeling, and analysis of the physical, mathematical, thermodynamical, and metallurgical properties of classical Stefan and Stefan-like problems applied to heat transfer problems with 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. The text is enriched with many appropriate references for in-depth background reading on theorems. Each chapter begins with basic concepts, objectives, and the directions in which the subject matter has developed. This is followed by detailed reviews of published works. This updated edition is fully revised, and contains more than 150 pages of new material on quasi-analytical solutions and methods of classical Stefan and Stefan-like problems. Provides both the phenomenology and mathematics of Stefan problems Bridges physics and mathematics in a concrete and readable way Presents well-organized chapters that start with proper definitions that are followed by explanations and end with references for further reading Includes both numerical and quasi-analytical solutions and methods of classical Stefan and Stefan-like problems

The Classical Stefan Problem

The Classical Stefan Problem
  • Author : S. C. Gupta
  • Publisher : Elsevier
  • Release Date : 2017-05-01
  • Total pages : 550
  • ISBN : 9780444635815
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Summary : The Classical Stefan Problem: Basic Concepts, Modelling and Analysis, Second Edition, provides the fundamental theoretical concepts, modeling, and analysis of the physical, mathematical, thermodynamical, and metallurgical properties of classical Stefan and Stefan-like problems applied to heat transfer problems with phase-changes, such as from liquid to solid. This self-contained work reports ...

The Classical Stefan Problem

The Classical Stefan Problem
  • Author : S.C. Gupta
  • Publisher : Elsevier
  • Release Date : 2017-07-27
  • Total pages : 818
  • ISBN : 9780444635815
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Summary : The Classical Stefan Problem: Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods, New Edition, provides the fundamental theory, concepts, modeling, and analysis of the physical, mathematical, thermodynamical, and metallurgical properties of classical Stefan and Stefan-like problems as applied to heat transfer problems with phase-changes, such as from liquid ...

The Classical Stefan Problem

The Classical Stefan Problem
  • Author : S.C. Gupta
  • Publisher : Elsevier
  • Release Date : 2003-10-22
  • Total pages : 404
  • ISBN : 9780444635815
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Summary : This volume emphasises studies related to classical Stefan problems. The term "Stefan problem" is generally used for heat transfer problems with phase-changes such as from the liquid to the solid. Stefan problems have some characteristics that are typical of them, but certain problems arising in fields such as mathematical physics ...

The Stefan Problem

The Stefan Problem
  • Author : A.M. Meirmanov
  • Publisher : Walter de Gruyter
  • Release Date : 1992-01-01
  • Total pages : 255
  • ISBN : 9780444635815
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Summary : The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to ...

Free Boundary Problems in Continuum Mechanics

Free Boundary Problems in Continuum Mechanics
  • Author : S.N. Antontsev,K.H. Hoffmann,A.M. Khludnev
  • Publisher : Birkhäuser
  • Release Date : 2013-03-07
  • Total pages : 358
  • ISBN : 9780444635815
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Summary : Progress in different fields of mechanics, such as filtra tion theory, elastic-plastic problems, crystallization pro cesses, internal and surface waves, etc., is governed to a great extent by the advances in the study of free boundary problems for nonlinear partial differential equations. Free boundary problems form a scientific area which ...

Moving Interfaces and Quasilinear Parabolic Evolution Equations

Moving Interfaces and Quasilinear Parabolic Evolution Equations
  • Author : Jan Prüss,Gieri Simonett
  • Publisher : Birkhäuser
  • Release Date : 2016-07-25
  • Total pages : 609
  • ISBN : 9780444635815
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Summary : In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces. It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic boundary value problems, transmission problems, one- and two-phase Stokes problems, and the equations of ...

Elliptic and Parabolic Problems

Elliptic and Parabolic Problems
  • Author : Josef Bemelmans,Bernard Brighi,Alain Brillard,Michel Chipot,Francis Conrad,Itai Shafrir,Vanda Valente,Giorgio Vergara Caffarelli
  • Publisher : World Scientific
  • Release Date : 2002-08-06
  • Total pages : 504
  • ISBN : 9780444635815
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Summary : This book provides an overview of the state of the art in important subjects, including — besides elliptic and parabolic issues — geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modeling and numerical analysis. Contents:Rolduc:Models for Shape Memory Alloys Described by Subdifferentials of ...

Proceedings of the 4th European Conference Elliptic and Parabolic Problems

Proceedings of the 4th European Conference  Elliptic and Parabolic Problems
  • Author : Josef Bemelmans
  • Publisher : World Scientific
  • Release Date : 2002
  • Total pages : 493
  • ISBN : 9780444635815
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Summary : This book provides an overview of the state of the art in important subjects, including ? besides elliptic and parabolic issues ? geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modeling and numerical analysis....

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics
  • Author : Michiel Hazewinkel
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Total pages : 540
  • ISBN : 9780444635815
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Summary : This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a ...

A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling

A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling
  • Author : Jörg Steinbach
  • Publisher : Birkhäuser
  • Release Date : 2012-12-06
  • Total pages : 294
  • ISBN : 9780444635815
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Summary : This monograph studies an evolutionary variational inequality approach to a degenerate moving free boundary problem. It takes an intermediate position between elliptic and parabolic inequalities and comprises an elliptic differential operator, a memory term and time-dependent convex constraint sets. Finally, a description of injection and compression moulding is presented in ...

Optimal Control of the Classical Two Phase Stefan Problem in Level Set Formulation

Optimal Control of the Classical Two Phase Stefan Problem in Level Set Formulation
  • Author : Martin K. Bernauer,Roland Herzog
  • Publisher : Unknown
  • Release Date : 2010
  • Total pages : 212
  • ISBN : 9780444635815
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Summary : Download or read online Optimal Control of the Classical Two Phase Stefan Problem in Level Set Formulation written by Martin K. Bernauer,Roland Herzog, published by which was released on 2010. Get Optimal Control of the Classical Two Phase Stefan Problem in Level Set Formulation Books now! Available in PDF, ePub ...

Partial Differential Equations

Partial Differential Equations
  • Author : J. Necas
  • Publisher : Routledge
  • Release Date : 2018-05-04
  • Total pages : 360
  • ISBN : 9780444635815
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Summary : As a satellite conference of the 1998 International Mathematical Congress and part of the celebration of the 650th anniversary of Charles University, the Partial Differential Equations Theory and Numerical Solution conference was held in Prague in August, 1998. With its rich scientific program, the conference provided an opportunity for almost 200 participants to ...

One dimensional Stefan Problems

One dimensional Stefan Problems
  • Author : James M. Hill
  • Publisher : Longman Sc & Tech
  • Release Date : 1987
  • Total pages : 204
  • ISBN : 9780444635815
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Summary : Download or read online One dimensional Stefan Problems written by James M. Hill, published by Longman Sc & Tech which was released on 1987. Get One dimensional Stefan Problems Books now! Available in PDF, ePub and Kindle....

On the Two Phase Stefan Problem with Interfacial Energy and Entropy

On the Two Phase Stefan Problem with Interfacial Energy and Entropy
  • Author : Morton E. Gurtin,WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER.
  • Publisher : Unknown
  • Release Date : 1985
  • Total pages : 70
  • ISBN : 9780444635815
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Summary : The classical Stefan theory for the melting of a solid or the freezing of a liquid is too simplistic to describe phenomena such as supercooling, in which a liquid supports temperatures below its freezing point, or superheating, the analog for solids, or dendritic growth, in which simple shapes evolve to ...

Stefan s Problem

Stefan s Problem
  • Author : S. L. Kamenomostskaya,COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER N H.
  • Publisher : Unknown
  • Release Date : 1971
  • Total pages : 50
  • ISBN : 9780444635815
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Summary : In the present work Stefan's problem in its general sense (multidimensional case, arbitrary number of initially unknown phase boundary surfaces, a thermal coefficient dependence of the phase on temperature) is analyzed. A determination of the general solution of the problem is introduced and it is shown, that the classical solution ...