Free Boundary Problems Involving Solids

Author : J M Chadam,Helen Rasmussen
Publisher : CRC Press
Page : 264 pages
File Size : 48,9 Mb
Release : 1993-02-22
Category : Mathematics
ISBN : 0582087678

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Free Boundary Problems Involving Solids by J M Chadam,Helen Rasmussen Pdf

This is the second of three volumes containing the proceedings of the International Colloquium 'Free Boundary Problems: Theory and Applications', held in Montreal from June 13 to June 22, 1990. The main theme of this volume is the concept of free boundary problems associated with solids. The first free boundary problem, the freezing of water - the Stefan problem - is the prototype of solidification problems which form the main part of this volume. The two sections treting this subject cover a large variety of topics and procedures, ranging from a theoretical mathematical treatment of solvability to numerical procedures for practical problems. Some new and interesting problems in solid mechanics are discussed in the first section while in the last section the important new subject of solid-solid-phase transition is examined.

Author : John M. Chadam,Henning Rasmussen
Publisher : Halsted Press
Page : 243 pages
File Size : 44,6 Mb
Release : 1993
Category : Electronic
ISBN : 0470221003

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Free Boundary Problems Involving Solids by John M. Chadam,Henning Rasmussen Pdf

Author : P. Argoul,M. Frémond,Q.S. Nguyen
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 47,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789401147385

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IUTAM Symposium on Variations of Domain and Free-Boundary Problems in Solid Mechanics by P. Argoul,M. Frémond,Q.S. Nguyen Pdf

Proceedings of the IUTAM Symposium held in Paris, France, 22-25 April 1997

Author : J M Chadam
Publisher : CRC Press
Page : 287 pages
File Size : 42,6 Mb
Release : 2020-12-22
Category : Mathematics
ISBN : 9781000117202

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Emerging Applications in Free Boundary Problems by J M Chadam Pdf

This Research Note presents a collection of papers on emerging applications in free boundary problems. The subjects covered include microgravity, chemical and biological reactions, and electromagnetism and electronics.

Author : J M Chadam,Helen Rasmussen
Publisher : CRC Press
Page : 278 pages
File Size : 47,8 Mb
Release : 1993-02-22
Category : Mathematics
ISBN : 0582215676

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Free Boundary Problems in Fluid Flow with Applications by J M Chadam,Helen Rasmussen Pdf

This is the third of three volumes containing the proceedings of the International Colloquium 'Free Boundary problems: Theory and Applications', held in Montreal from June 13 to June 22, 1990. The main part of this volume studies the flow of fluids, an area which has led to many of the classical free boundary problems. The first two sections contain the papers on various problems in fluid mechanics. The types of problems vary fromthe collision of two jets to the growth of a sand wave. In the next two sections porous flow is considered. This has important practical applications in fields such as petroleum engineering and groundwater pollution. Some new and interesting free boundary problems in geology and engineering are treated in the final section.

Author : J I Diaz,Juan Luis Vazquez,M A Herrero,Amable Linan
Publisher : CRC Press
Page : 236 pages
File Size : 47,5 Mb
Release : 1995-04-04
Category : Mathematics
ISBN : 0582256453

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Free Boundary Problems by J I Diaz,Juan Luis Vazquez,M A Herrero,Amable Linan Pdf

This research note consists of selected contributions from the 1993 International Conference on "Free Boundary Problems: Theory and Applications." These represent coherent and high-level research in the field of free boundary problems. Topics include mean curvature flows, phase transitions and material sciences, fluid mechanics and combustion problems.

Author : Ioannis Athanasopoulos
Publisher : Routledge
Page : 372 pages
File Size : 43,7 Mb
Release : 2019-11-11
Category : Mathematics
ISBN : 9781351447133

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Free Boundary Problems by Ioannis Athanasopoulos Pdf

Free boundary problems arise in an enormous number of situations in nature and technology. They hold a strategic position in pure and applied sciences and thus have been the focus of considerable research over the last three decades. Free Boundary Problems: Theory and Applications presents the work and results of experts at the forefront of current research in mathematics, material sciences, chemical engineering, biology, and physics. It contains the plenary lectures and contributed papers of the 1997 International Interdisciplinary Congress proceedings held in Crete. The main topics addressed include free boundary problems in fluid and solid mechanics, combustion, the theory of filtration, and glaciology. Contributors also discuss material science modeling, recent mathematical developments, and numerical analysis advances within their presentations of more specific topics, such as singularities of interfaces, cusp cavitation and fracture, capillary fluid dynamics of film coating, dynamics of surface growth, phase transition kinetics, and phase field models. With the implications of free boundary problems so far reaching, it becomes important for researchers from all of these fields to stay abreast of new developments. Free Boundary Problems: Theory and Applications provides the opportunity to do just that, presenting recent advances from more than 50 researchers at the frontiers of science, mathematics, and technology.

Author : Pierluigi Colli,Claudio Verdi,Augusto Visintin
Publisher : Birkhäuser
Page : 342 pages
File Size : 49,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034878937

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Free Boundary Problems by Pierluigi Colli,Claudio Verdi,Augusto Visintin Pdf

Many phenomena of interest for applications are represented by differential equations which are defined in a domain whose boundary is a priori unknown, and is accordingly named a "free boundary". A further quantitative condition is then provided in order to exclude indeterminacy. Free boundary problems thus encompass a broad spectrum which is represented in this state-of-the-art volume by a variety of contributions of researchers in mathematics and applied fields like physics, biology and material sciences. Special emphasis has been reserved for mathematical modelling and for the formulation of new problems.

Author : Mohamed El-Amin
Publisher : BoD – Books on Demand
Page : 642 pages
File Size : 52,9 Mb
Release : 2011-02-21
Category : Science
ISBN : 9789533073330

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Advanced Topics in Mass Transfer by Mohamed El-Amin Pdf

This book introduces a number of selected advanced topics in mass transfer phenomenon and covers its theoretical, numerical, modeling and experimental aspects. The 26 chapters of this book are divided into five parts. The first is devoted to the study of some problems of mass transfer in microchannels, turbulence, waves and plasma, while chapters regarding mass transfer with hydro-, magnetohydro- and electro- dynamics are collected in the second part. The third part deals with mass transfer in food, such as rice, cheese, fruits and vegetables, and the fourth focuses on mass transfer in some large-scale applications such as geomorphologic studies. The last part introduces several issues of combined heat and mass transfer phenomena. The book can be considered as a rich reference for researchers and engineers working in the field of mass transfer and its related topics.

Author : B N Mandal,Nanigopal Mandal
Publisher : CRC Press
Page : 144 pages
File Size : 40,5 Mb
Release : 2020-11-25
Category : Mathematics
ISBN : 9781000115222

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Integral Expansions Related to Mehler-Fock Type Transforms by B N Mandal,Nanigopal Mandal Pdf

An important class of integral expansions generated by Sturm-Liouville theory involving spherical harmonics is commonly known as Mehler-Fock integral transforms. In this book, a number of integral expansions of such type have been established rigorously. As applications, integral expansions of some simple function are also obtained.

Author : Miguel Angel Herrero,Enrique Zuazua
Publisher : Editorial Complutense
Page : 268 pages
File Size : 47,8 Mb
Release : 1996
Category : Education
ISBN : 8489365946

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Current Trends in Applied Mathematics by Miguel Angel Herrero,Enrique Zuazua Pdf

Author : P A Marcati,P A Markowich,Roberto Natalini
Publisher : CRC Press
Page : 232 pages
File Size : 40,9 Mb
Release : 1995-12-15
Category : Science
ISBN : 0582287049

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Mathematical Problems in Semiconductor Physics by P A Marcati,P A Markowich,Roberto Natalini Pdf

This collection of papers arises from a workshop held at the Istituto per le Applicazioni del Calcolo of the Italian CNR. The first part of the book includes the material covered by three mini-series of lectures at graduate level on some advanced mathematical topics in semiconductor physics. The second part of the book includes more specialized topics, covered by invited speakers in their individual lectures.

Author : Martin Hanke
Publisher : CRC Press
Page : 144 pages
File Size : 55,7 Mb
Release : 2017-11-22
Category : Mathematics
ISBN : 9781351458337

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Conjugate Gradient Type Methods for Ill-Posed Problems by Martin Hanke Pdf

The conjugate gradient method is a powerful tool for the iterative solution of self-adjoint operator equations in Hilbert space.This volume summarizes and extends the developments of the past decade concerning the applicability of the conjugate gradient method (and some of its variants) to ill posed problems and their regularization. Such problems occur in applications from almost all natural and technical sciences, including astronomical and geophysical imaging, signal analysis, computerized tomography, inverse heat transfer problems, and many more This Research Note presents a unifying analysis of an entire family of conjugate gradient type methods. Most of the results are as yet unpublished, or obscured in the Russian literature. Beginning with the original results by Nemirovskii and others for minimal residual type methods, equally sharp convergence results are then derived with a different technique for the classical Hestenes-Stiefel algorithm. In the final chapter some of these results are extended to selfadjoint indefinite operator equations. The main tool for the analysis is the connection of conjugate gradient type methods to real orthogonal polynomials, and elementary properties of these polynomials. These prerequisites are provided in a first chapter. Applications to image reconstruction and inverse heat transfer problems are pointed out, and exemplarily numerical results are shown for these applications.

Author : Christian G Simader,H Sohr
Publisher : CRC Press
Page : 308 pages
File Size : 41,8 Mb
Release : 1996-11-07
Category : Mathematics
ISBN : 0582209536

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The Dirichlet Problem for the Laplacian in Bounded and Unbounded Domains by Christian G Simader,H Sohr Pdf

The Dirichlet Problem -?u=ƒ in G, u|?G=0 for the Laplacian in a domain GÌRn with boundary ?G is one of the basic problems in the theory of partial differential equations and it plays a fundamental role in mathematical physics and engineering.

Author : Augusto Visintin
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461240785

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Models of Phase Transitions by Augusto Visintin Pdf

... "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