The Classical Stefan Problem

Written By S.C. Gupta
The Classical Stefan Problem
  • Publsiher : Elsevier
  • Release : 22 October 2003
  • ISBN : 9780080529165
  • Pages : 404 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 22 October 2003, this book published by Elsevier. Available in PDF, EPUB and Kindle Format. Book excerpt: 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 and engineering also exhibit characteristics similar to them. The term ``classical" distinguishes the formulation of these problems from their weak formulation, in which the solution need not possess classical derivatives. Under suitable assumptions, a weak solution could be as good as a classical solution. In hyperbolic Stefan problems, the characteristic features of Stefan problems are present but unlike in Stefan problems, discontinuous solutions are allowed because of the hyperbolic nature of the heat equation. The numerical solutions of inverse Stefan problems, and the analysis of direct Stefan problems are so integrated that it is difficult to discuss one without referring to the other. So no strict line of demarcation can be identified between a classical Stefan problem and other similar problems. On the other hand, including every related problem in the domain of classical Stefan problem would require several volumes for their description. A suitable compromise has to be made. The basic concepts, modelling, and analysis of the classical Stefan problems have been extensively investigated and there seems to be a need to report the results at one place. This book attempts to answer that need.

The Classical Stefan Problem

The Classical Stefan Problem
  • Author : S.C. Gupta
  • Publisher : Elsevier
  • Release Date : 2017-07-27
  • Total pages : 818
  • ISBN : 9780080529165
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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 : 9780080529165
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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 Classical Stefan Problem

The Classical Stefan Problem
  • Author : S. C. Gupta
  • Publisher : Elsevier
  • Release Date : 2017-05-01
  • Total pages : 550
  • ISBN : 9780080529165
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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 Stefan Problem

The Stefan Problem
  • Author : A.M. Meirmanov
  • Publisher : Walter de Gruyter
  • Release Date : 1992-01-01
  • Total pages : 255
  • ISBN : 9780080529165
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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 ...

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 : 9780080529165
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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 ...

On Classical Solutions of the Two phase Steady state Stefan Problem in Strips

On Classical Solutions of the Two phase Steady state Stefan Problem in Strips
  • Author : University of Minnesota. Institute for Mathematics and Its Applications,J.-F. Rodrigues,B. Zaltzman
  • Publisher : Unknown
  • Release Date : 1991
  • Total pages : 13
  • ISBN : 9780080529165
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Summary : Download or read online On Classical Solutions of the Two phase Steady state Stefan Problem in Strips written by University of Minnesota. Institute for Mathematics and Its Applications,J.-F. Rodrigues,B. Zaltzman, published by which was released on 1991. Get On Classical Solutions of the Two phase Steady state Stefan ...

Some Remarks on the Stefan Problem with Surface Structure Stability and Thermal Influences in Nonlinear Continuum Mechanics

Some Remarks on the Stefan Problem with Surface Structure  Stability and Thermal Influences in Nonlinear Continuum Mechanics
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1990
  • Total pages : 5
  • ISBN : 9780080529165
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Summary : This paper discusses a generalized Stefan problem which allows for supercooling and superheating and for capillarity in the interface between phases. Simple solutions are obtained indicating the chief differences between this problem and the classical Stefan problem. A weak formulation of the general problem is given....

Models of Phase Transitions

Models of Phase Transitions
  • Author : Augusto Visintin
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Total pages : 326
  • ISBN : 9780080529165
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Summary : ... "What do you call work?" "Why ain't that work?" Tom resumed his whitewashing, and answered carelessly: "Well. lI1a), he it is, and maybe it aill't. All I know, is, it suits Tom Sawvc/:" "Oil CO/lll!, IIOW, Will do not mean to let 011 that you like it?" The brush ...

The Stefan Problem

The Stefan Problem
  • Author : Richard K. Neumann,Anvarbek Mukatovich Meĭrmanov
  • Publisher : Walter de Gruyter
  • Release Date : 1992
  • Total pages : 244
  • ISBN : 9780080529165
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Summary : The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods ...

The Stefan Problem

The Stefan Problem
  • Author : L. I. Rubinšteĭn
  • Publisher : American Mathematical Soc.
  • Release Date : 2000-01-25
  • Total pages : 419
  • ISBN : 9780080529165
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Summary : Translations of Mathematical Monographs...

Some Remarks on the Stefan Problem with Surface Structure

Some Remarks on the Stefan Problem with Surface Structure
  • Author : Morton E. Gurtin,H. Mete Soner
  • Publisher : Unknown
  • Release Date : 1990
  • Total pages : 24
  • ISBN : 9780080529165
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Summary : Abstract: "This paper discusses a generalized Stefan problem which allows for supercooling and superheating and for capillarity in the interface between phases. Simple solutions are obtained indicating the chief differences between this problem and the classical Stefan problem. A weak formulation of the general problem is given."...

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 : 9780080529165
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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 : 9780080529165
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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 ...

Thermomechanics and the Formulation of the Stefan Problem for Fully Faceted Interfaces

Thermomechanics and the Formulation of the Stefan Problem for Fully Faceted Interfaces
  • Author : Morton E. Gurtin,Jose Matias
  • Publisher : Unknown
  • Release Date : 1993
  • Total pages : 37
  • ISBN : 9780080529165
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Summary : Abstract: "This paper develops a thermomechanics of two-phase heat conductors in which the interface between phases is fully faceted. The theory is based on balance of forces, balance of energy, and growth of entropy in conjunction with constitutive equations for the interface; and the chief result is a free-boundary problem ...

A Singular Free Boundary Problem

A Singular Free Boundary Problem
  • Author : Klaus Höllig,John A. Nohel
  • Publisher : Unknown
  • Release Date : 1983
  • Total pages : 17
  • ISBN : 9780080529165
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Summary : The Cauchy problem is similar to the well-known one phase Stefan problem (inone space dimension). In the latter one would assume g(x) = -1 for x 0, as well as g(x) 0 for x> 0, so that g would have a jump discontinuity at x = 0. Our assumptions on the initial data g ...