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 : 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 : 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 Mathematics categories.
Translations of Mathematical Monographs
The Classical Stefan Problem
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Author : S.C. Gupta
language : en
Publisher: Elsevier
Release Date : 2017-10-13
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 2017-10-13 with Science categories.
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
The Stefan Problem
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Author : Anvarbek Mukatovich Meĭrmanov
language : en
Publisher: Walter de Gruyter
Release Date : 1992
The Stefan Problem written by Anvarbek Mukatovich Meĭrmanov 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 1992 with Mathematics categories.
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 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 interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Cear , Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)
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.
Kernel Functions And Elliptic Differential Equations In Mathematical Physics
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Author : Stefan Bergman
language : en
Publisher: Courier Corporation
Release Date : 2013-01-23
Kernel Functions And Elliptic Differential Equations In Mathematical Physics written by Stefan Bergman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-23 with Mathematics categories.
Covers the theory of boundary value problems in partial differential equations and discusses a portion of the theory from a unifying point of view while providing an introduction to each branch of its applications. 1953 edition.
One Dimensional Stefan Problems
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Author : James M. Hill
language : en
Publisher: Longman Scientific and Technical
Release Date : 1987
One Dimensional Stefan Problems written by James M. Hill and has been published by Longman Scientific and Technical this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
Free Boundary Problems In Continuum Mechanics
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Author : S.N. Antontsev
language : en
Publisher: Birkhäuser
Release Date : 2013-03-07
Free Boundary Problems In Continuum Mechanics written by S.N. Antontsev and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Social Science categories.
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 attracts attention of many specialists in mathematics and mechanics. Increasing interest in the field has given rise to the "International Conferences on Free Boundary Problems and Their Applications" which have convened, since the 1980s, in such countries as England, the United states, Italy, France and Germany. This book comprises the papers presented at the Interna tional Conference "Free Boundary Problems in Continuum Mechanics", organized by the Lavrentyev Institute of Hydrodynamics, Russian Academy of Sciences, July 15-19, 1991, Novosibirsk, Russia. The scientific committee consisted of: Co-chairmen: K.-H. Hoffmann, L.V. Ovsiannikov S. Antontsev (Russia) J. Ockendon (UK) M. Fremond (France) L. Ovsiannikov (Russia) A. Friedman (USA) S. Pokhozhaev (Russia) K.-H. Hoffmann (Germany) M. Primicerio (Italy) A. Khludnev (Russia) V. Pukhnachov (Russia) V. Monakhov (Russia) Yu. Shokin (Russia) V. Teshukov (Russia) Our thanks are due to the members of the Scientific Com mittee, all authors, and participants for contributing to the success of the Conference. We would like to express special appreciation to N. Makarenko, J. Mal'tseva and T. Savelieva, Lavrentyev Institute of Hydrodynamics, for their help in preparing this book for publication
Mathematical Modeling Of Melting And Freezing Processes
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Author : V. Alexiades
language : en
Publisher: CRC Press
Release Date : 1992-11-01
Mathematical Modeling Of Melting And Freezing Processes written by V. Alexiades and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-11-01 with Science categories.
This book begins with a precise formulation of the J. Stefan problem for a melting/freezing process, based on the underlying physical processes taking place. It is devoted to the numerical simulation of phase change processes.
Introduction To Piecewise Differentiable Equations
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Author : Stefan Scholtes
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-01
Introduction To Piecewise Differentiable Equations written by Stefan Scholtes 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 2012-08-01 with Mathematics categories.
This brief provides an elementary introduction to the theory of piecewise differentiable functions with an emphasis on differentiable equations. In the first chapter, two sample problems are used to motivate the study of this theory. The presentation is then developed using two basic tools for the analysis of piecewise differentiable functions: the Bouligand derivative as the nonsmooth analogue of the classical derivative concept and the theory of piecewise affine functions as the combinatorial tool for the study of this approximation function. In the end, the results are combined to develop inverse and implicit function theorems for piecewise differentiable equations. This Introduction to Piecewise Differentiable Equations will serve graduate students and researchers alike. The reader is assumed to be familiar with basic mathematical analysis and to have some familiarity with polyhedral theory.