The Classical Stefan Problem
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The Classical Stefan Problem
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Author : S.C. Gupta
language : en
Publisher: Elsevier
Release Date : 2017-07-27
The Classical Stefan Problem written by S.C. Gupta and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-27 with Science categories.
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 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 in-depth background reading on theorems. Each chapter in this fully revised and updated edition begins with basic concepts and objectives, also including direction on how the subject matter was developed. It contains 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
The Classical Stefan Problem
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Author : S.C. Gupta
language : en
Publisher: Elsevier
Release Date : 2003-10-22
The Classical Stefan Problem written by S.C. Gupta and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-22 with Science categories.
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 Stefan Problem
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Author : A.M. Meirmanov
language : en
Publisher: Walter de Gruyter
Release Date : 2011-05-03
The Stefan Problem written by A.M. Meirmanov and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-03 with Mathematics categories.
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 the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Optimal Control Of The Classical Two Phase Stefan Problem In Level Set Formulation
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Author : Martin K. Bernauer
language : en
Publisher:
Release Date : 2010
Optimal Control Of The Classical Two Phase Stefan Problem In Level Set Formulation written by Martin K. Bernauer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
The Stefan Problem
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Author : L. I. Rubinšteĭn
language : en
Publisher: American Mathematical Soc.
Release Date : 2000-01-25
The Stefan Problem written by L. I. Rubinšteĭn and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-25 with categories.
Translations of Mathematical Monographs
On Classical Solutions Of The Two Phase Steady State Stefan Problem In Strips
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Author : University of Minnesota. Institute for Mathematics and Its Applications
language : en
Publisher:
Release Date : 1991
On Classical Solutions Of The Two Phase Steady State Stefan Problem In Strips written by University of Minnesota. Institute for Mathematics and Its Applications and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Some Remarks On The Stefan Problem With Surface Structure
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Author : Morton E. Gurtin
language : en
Publisher:
Release Date : 1990
Some Remarks On The Stefan Problem With Surface Structure written by Morton E. Gurtin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Phase transformations (Statistical physics) categories.
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."
The One Dimensional Heat Equation
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Author : John Rozier Cannon
language : en
Publisher: Cambridge University Press
Release Date : 1984-12-28
The One Dimensional Heat Equation written by John Rozier Cannon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-12-28 with Mathematics categories.
This is a version of Gevrey's classical treatise on the heat equations. Included in this volume are discussions of initial and/or boundary value problems, numerical methods, free boundary problems and parameter determination problems. The material is presented as a monograph and/or information source book. After the first six chapters of standard classical material, each chapter is written as a self-contained unit except for an occasional reference to elementary definitions, theorems and lemmas in previous chapters.
Some Remarks On The Stefan Problem With Surface Structure Stability And Thermal Influences In Nonlinear Continuum Mechanics
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Author :
language : en
Publisher:
Release Date : 1990
Some Remarks On The Stefan Problem With Surface Structure Stability And Thermal Influences In Nonlinear Continuum Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
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.
Quantum Classical Correspondence
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Author : A. O. Bolivar
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-09
Quantum Classical Correspondence written by A. O. Bolivar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-09 with Science categories.
At what level of physical existence does "quantum behavior" begin? How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. It elucidates the problem of quantum-classical correspondence by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations. The logical consistency of the scheme is then verified by taking the classical limit of the equations of motion and corresponding physical quantities. Perhaps equally important, conceptual problems concerning the relationship between classical and quantum physics are identified and discussed. Graduate students and physical scientists will find this an accessible entrée to an intriguing and thorny issue at the core of modern physics.