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Author : Charles M. Elliott,John R. Ockendon
Publisher : Unknown
Page : 128 pages
File Size : 54,7 Mb
Release : 1998
Category : Electronic
ISBN : 7515804327
Author : John Crank
Publisher : Oxford University Press, USA
Page : 438 pages
File Size : 48,6 Mb
Release : 1984
Category : Mathematics
ISBN : UOM:39015047832467
Here is a wide-ranging, comprehensive account of the mathematical formulation of problems involving free boundaries as they occur in such diverse areas as hydrology, metallurgy, chemical engineering, soil science, molecular biology, materials science, and steel and glass production. Many newmethods of solution are discussed, including modern computer techniques which address multidimensional, multiphase practical problems.
Author : Charles M. Elliott,J. R. Ockendon
Publisher : Pitman Publishing
Page : 238 pages
File Size : 46,6 Mb
Release : 1982
Category : Mathematics
ISBN : UCAL:B4406804
Author : A. Bossavit,M. Fremond
Publisher : Unknown
Page : 328 pages
File Size : 44,6 Mb
Release : 1985
Category : Boundary value problems
ISBN : 0273086774
Author : John R Graef,Lingju Kong
Publisher : World Scientific
Page : 292 pages
File Size : 42,9 Mb
Release : 2015-08-26
Category : Mathematics
ISBN : 9789814696562
Variational methods and their generalizations have been verified to be useful tools in proving the existence of solutions to a variety of boundary value problems for ordinary, impulsive, and partial differential equations as well as for difference equations. In this monograph, we look at how variational methods can be used in all these settings. In our first chapter, we gather the basic notions and fundamental theorems that will be applied in the remainder of this monograph. While many of these items are easily available in the literature, we gather them here both for the convenience of the reader and for the purpose of making this volume somewhat self-contained. Subsequent chapters deal with the Sturm-Liouville problems, multi-point boundary value problems, problems with impulses, partial differential equations, and difference equations. An extensive bibliography is also included.
Author : David George Wilson,Alan D. Solomon,Paul T. Boggs
Publisher : Unknown
Page : 360 pages
File Size : 43,9 Mb
Release : 1978
Category : Mathematics
ISBN : UOM:39015000979560
Author : Avner Friedman,Joel Spruck
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 46,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461383574
This IMA Volume in Mathematics and its Applications VARIATIONAL AND FREE BOUNDARY PROBLEMS is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on "Phase Transitions and Free Boundaries. " The aim of the workshop was to highlight new methods, directions and problems in variational and free boundary theory, with a concentration on novel applications of variational methods to applied problems. We thank R. Fosdick, M. E. Gurtin, W. -M. Ni and L. A. Peletier for organizing the year-long program and, especially, J. Sprock for co-organizing the meeting and co-editing these proceedings. We also take this opportunity to thank the National Science Foundation whose financial support made the workshop possible. Avner Friedman Willard Miller, Jr. PREFACE In a free boundary one seeks to find a solution u to a partial differential equation in a domain, a part r of its boundary of which is unknown. Thus both u and r must be determined. In addition to the standard boundary conditions on the un known domain, an additional condition must be prescribed on the free boundary. A classical example is the Stefan problem of melting of ice; here the temperature sat isfies the heat equation in the water region, and yet this region itself (or rather the ice-water interface) is unknown and must be determined together with the tempera ture within the water. Some free boundary problems lend themselves to variational formulation.
Author : Michiel Hazewinkel
Publisher : Springer
Page : 732 pages
File Size : 52,5 Mb
Release : 2013-12-20
Category : Mathematics
ISBN : 9789400959835
Author : Avner Friedman
Publisher : John Wiley & Sons
Page : 728 pages
File Size : 55,7 Mb
Release : 1982-11
Category : Mathematics
ISBN : UCAL:B4406806
A comprehensive treatment of variational methods and their applications to free boundary problems. Explains important developments in the field and offers background mathematics. Text includes problems at the end of each section and an extensive bibliography.
Author : S.C. Gupta
Publisher : Elsevier
Page : 752 pages
File Size : 46,7 Mb
Release : 2017-07-27
Category : Science
ISBN : 9780444635822
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
Author : Augusto Visintin
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 55,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461240785
... "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
Author : J.-F. Rodrigues
Publisher : Elsevier
Page : 351 pages
File Size : 44,9 Mb
Release : 1987-03-01
Category : Science
ISBN : 008087245X
The aim of this research monograph is to present a general account of the applicability of elliptic variational inequalities to the important class of free boundary problems of obstacle type from a unifying point of view of classical Mathematical Physics. The first part of the volume introduces some obstacle type problems which can be reduced to variational inequalities. Part II presents some of the main aspects of the theory of elliptic variational inequalities, from the abstract hilbertian framework to the smoothness of the variational solution, discussing in general the properties of the free boundary and including some results on the obstacle Plateau problem. The last part examines the application to free boundary problems, namely the lubrication-cavitation problem, the elastoplastic problem, the Signorini (or the boundary obstacle) problem, the dam problem, the continuous casting problem, the electrochemical machining problem and the problem of the flow with wake in a channel past a profile.
Author : Antonio Fasano,Mario Primicerio
Publisher : Pitman Advanced Publishing Program
Page : 346 pages
File Size : 48,7 Mb
Release : 1983
Category : Boundary value problems
ISBN : UCSD:31822008735268
Author : M. J. Sewell
Publisher : Cambridge University Press
Page : 492 pages
File Size : 42,7 Mb
Release : 1987-12-17
Category : Mathematics
ISBN : 0521348765
This book provides a unified account of the theory required to establish upper and lower bounds.
Author : Anonim
Publisher : Academic Press
Page : 365 pages
File Size : 55,8 Mb
Release : 1989-04-01
Category : Science
ISBN : 0080575730
Advances in Heat Transfer
