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Mathematical Models For Phase Change Problems


Mathematical Models For Phase Change Problems
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Mathematical Models For Phase Change Problems


Mathematical Models For Phase Change Problems
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Author : J.F. Rodriques
language : en
Publisher: Birkhäuser
Release Date : 2013-03-07

Mathematical Models For Phase Change Problems written by J.F. Rodriques 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.


This monograph collects research and expository articles reflect ing the interaction and the cooperation of different groups in several European institut ions concerning current research on mathematical models for the behaviour of materials with phase change. These papers were presented and discussed in a Workshop held at Obidos, Portugal, du ring the first three days of October, 1988, and grew out of a two year period of intensive exploitation of differ ent abilities and mathematical experiences of the six participating groups, namely, in the University of Augsburg, wh ich was the co ordination center of this project, the Laboratoire Central des Ponts et Chaussees of Paris, the Aristoteles University of Thessaloniki, the University of Florence, the University of Lisbon and the University of Oxford. This project was carried out under the title "Mathemat ical Models of Phase Transitions and Numerical Simulation", in the framework of twinning program for stimulation of cooperation and scientific interchange, sponsored by the European Community. The underlying idea of the project was to create and study the mathematical models arising in applied engineering problems with free boundaries in a broad sense, namely in melting and freezing problems, diffusion-reaction processes, solid-solid phase transition, hysteresis phenomena, "mushy region" descriptions, contact prob lems with friction andjor adhesion, elastoplastic deformations, etc. vi This large spectrum of applied problems have in common the main feature of brusque transitions of their qualitative behaviour that correspond, in general, to non-classical discontinuous monotone or non monotone strong nonlinearities in the mathematical equations



Models Of Phase Transitions


Models Of Phase Transitions
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Author : Augusto Visintin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Models Of Phase Transitions written by Augusto Visintin 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 2012-12-06 with Mathematics categories.


... "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 continued to move. "Likc it? Well, I do not see wlzy I oughtn't to like it. Does a hoy get a chance to whitewash a fence every day?" That put the thing ill a Ilew light. Ben stopped nibhling the apple ... (From Mark Twain's Adventures of Tom Sawyer, Chapter II.) Mathematics can put quantitative phenomena in a new light; in turn applications may provide a vivid support for mathematical concepts. This volume illustrates some aspects of the mathematical treatment of phase transitions, namely, the classical Stefan problem and its generalizations. The in tended reader is a researcher in application-oriented mathematics. An effort has been made to make a part of the book accessible to beginners, as well as physicists and engineers with a mathematical background. Some room has also been devoted to illustrate analytical tools. This volume deals with research I initiated when I was affiliated with the Istituto di Analisi Numerica del C.N.R. in Pavia, and then continued at the Dipartimento di Matematica dell'Universita di Trento. It was typeset by the author in plain TEX



Variational Problems In Materials Science


Variational Problems In Materials Science
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Author : Gianni Dal Maso
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-23

Variational Problems In Materials Science written by Gianni Dal Maso 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 2006-06-23 with Technology & Engineering categories.


This volume contains the proceedings of the international workshop Variational Problems in Materials Science. Coverage includes the study of BV vector fields, path functionals over Wasserstein spaces, variational approaches to quasi-static evolution, free-discontinuity problems with applications to fracture and plasticity, systems with hysteresis or with interfacial energies, evolution of interfaces, multi-scale analysis in ferromagnetism and ferroelectricity, and much more.



Crc Handbook Of Thermal Engineering


Crc Handbook Of Thermal Engineering
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Author : Raj P. Chhabra
language : en
Publisher: CRC Press
Release Date : 2017-11-08

Crc Handbook Of Thermal Engineering written by Raj P. Chhabra and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-08 with Science categories.


The CRC Handbook of Thermal Engineering, Second Edition, is a fully updated version of this respected reference work, with chapters written by leading experts. Its first part covers basic concepts, equations and principles of thermodynamics, heat transfer, and fluid dynamics. Following that is detailed coverage of major application areas, such as bioengineering, energy-efficient building systems, traditional and renewable energy sources, food processing, and aerospace heat transfer topics. The latest numerical and computational tools, microscale and nanoscale engineering, and new complex-structured materials are also presented. Designed for easy reference, this new edition is a must-have volume for engineers and researchers around the globe.



Geometric Partial Differential Equations Part I


Geometric Partial Differential Equations Part I
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Author :
language : en
Publisher: Elsevier
Release Date : 2020-01-14

Geometric Partial Differential Equations Part I written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-14 with Mathematics categories.


Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering. - About every aspect of computational geometric PDEs is discussed in this and a companion volume. Topics in this volume include stationary and time-dependent surface PDEs for geometric flows, large deformations of nonlinearly geometric plates and rods, level set and phase field methods and applications, free boundary problems, discrete Riemannian calculus and morphing, fully nonlinear PDEs including Monge-Ampere equations, and PDE constrained optimization - Each chapter is a complete essay at the research level but accessible to junior researchers and students. The intent is to provide a comprehensive description of algorithms and their analysis for a specific geometric PDE class, starting from basic concepts and concluding with interesting applications. Each chapter is thus useful as an introduction to a research area as well as a teaching resource, and provides numerous pointers to the literature for further reading - The authors of each chapter are world leaders in their field of expertise and skillful writers. This book is thus meant to provide an invaluable, readable and enjoyable account of computational geometric PDEs



Dirichlet Forms


Dirichlet Forms
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Author : E. Fabes
language : en
Publisher: Springer
Release Date : 2006-11-15

Dirichlet Forms written by E. Fabes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.


The theory of Dirichlet forms has witnessed recently some very important developments both in theoretical foundations and in applications (stochasticprocesses, quantum field theory, composite materials,...). It was therefore felt timely to have on this subject a CIME school, in which leading experts in the field would present both the basic foundations of the theory and some of the recent applications. The six courses covered the basic theory and applications to: - Stochastic processes and potential theory (M. Fukushima and M. Roeckner) - Regularity problems for solutions to elliptic equations in general domains (E. Fabes and C. Kenig) - Hypercontractivity of semigroups, logarithmic Sobolev inequalities and relation to statistical mechanics (L. Gross and D. Stroock). The School had a constant and active participation of young researchers, both from Italy and abroad.



The Boundary Element Method Volume 1


The Boundary Element Method Volume 1
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Author : L. C. Wrobel
language : en
Publisher: John Wiley & Sons
Release Date : 2002-04-22

The Boundary Element Method Volume 1 written by L. C. Wrobel and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-22 with Technology & Engineering categories.


The boundary element method (BEM) is a modern numerical techniquewhich has enjoyed increasing popularity over the last two decades,and is now an established alternative to traditional computationalmethods of engineering analysis. The main advantage of the BEM isits unique ability to provide a complete solution in terms ofboundary values only, with substantial savings in modelling effort. This two-volume book set is designed to provide the readers with acomprehensive and up-to-date account of the boundary element methodand its application to solving engineering problems. Each volume isa self-contained book including a substantial amount of materialnot previously covered by other text books on the subject. Volume 1covers applications to heat transfer, acoustics, electrochemistryand fluid mechanics problems, while volume 2 concentrates on solidsand structures, describing applications to elasticity, plasticity,elastodynamics, fracture mechanics and contact analysis. The earlychapters are designed as a teaching text for final yearundergraduate courses. Both volumes reflect the experience of theauthors over a period of more than twenty years of boundary element research. This volume, Applications in Thermo-Fluids and Acoustics, provides acomprehensive presentation of the BEM from fundamentals to advancedengineering applications and encompasses: Steady and transient heat transfer Potential and viscous fluid flows Frequency and time-domain acoustics Corrosion and other electrochemical problems. A unique feature of this book is an in-depth presentation of BEMformulations in all the above fields, including detaileddiscussions of the basic theory, numerical algorithms and practicalengineering applications of the method. Written by an internationally recognised authority in the field,this is essential reading for postgraduates, researchers andpractitioners in civil, mechanical and chemical engineering andapplied mathematics.



Proceedings Of The Fourth European Conference On Mathematics In Industry


Proceedings Of The Fourth European Conference On Mathematics In Industry
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Author : U. Wacker
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Proceedings Of The Fourth European Conference On Mathematics In Industry written by U. Wacker 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 2012-12-06 with Mathematics categories.


The Fourth ECMI Conference on Industrial Mathematics took place at Strobl in Aus tria, May 29-June 2, 1989. The conference was devoted to the exchange of ideas, models and methods from various fields of industrial applications of mathematics. About 140 people from 21 countries attended the meeting. The aim was to bring together peo ple from industry and from university. In this respect the organizers were only partly successful!. The participance of about 20 people from industry shows that there is still much work to be done to increase the acceptance from this side. 72 speakers presented their results as invited or contributed lectures, or in the frame of 2 minisymposia. One minisymposium was organized by Heinz W. Engl and focused on steel processing, the other one, organized by Hansjorg Wacker, dealt with chemical engineering. These proceedings consist of 56 papers. The articles within each of the sections: Invited Lectures, Minisymposium Steel Processing, Minisymposium Chemical Engi neering, and Contributed Lectures are in alphabetical order of the first author. Exept for the contributions to the minisymposia, which clearly concentrate on the corre sponding topics, it is hard to find a reasonable classification of the papers . This, we believe, is typical for industrial mathematics and underlines the vast variety of fields where mathematics could be used to support problem solving. We would like to acknowlegde the valuable work of the referees of the articles who certainly helped to improve the quality of this volume.



Optimal Control Of Nonlinear Parabolic Systems


Optimal Control Of Nonlinear Parabolic Systems
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Author : Pekka Neittaanmaki
language : en
Publisher: CRC Press
Release Date : 1994-02-08

Optimal Control Of Nonlinear Parabolic Systems written by Pekka Neittaanmaki and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-02-08 with Mathematics categories.


This book discusses theoretical approaches to the study of optimal control problems governed by non-linear evolutions - including semi-linear equations, variational inequalities and systems with phase transitions. It also provides algorithms for solving non-linear parabolic systems and multiphase Stefan-like systems.



Mathematical Modeling Of Melting And Freezing Processes


Mathematical Modeling Of Melting And Freezing Processes
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Author : V. Alexiades
language : en
Publisher: Routledge
Release Date : 2018-05-02

Mathematical Modeling Of Melting And Freezing Processes written by V. Alexiades and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-02 with Science categories.


This reference book presents mathematical models of melting and solidification processes that are the key to the effective performance of latent heat thermal energy storage systems (LHTES), utilized in a wide range of heat transfer and industrial applications. This topic has spurred a growth in research into LHTES applications in energy conservation and utilization, space station power systems, and thermal protection of electronic equipment in hostile environments. Further, interest in mathematical modeling has increased with the speread of high powered computers used in most industrial and academic settings. In two sections, the book first describes modeling of phase change processes and then describes applications for LHTES. It is aimed at graduate students, researchers, and practicing engineers in heat transfer, materials processing, multiphase systems, energy conservation, metallurgy, microelectronics, and cryosurgery.