Variational And Free Boundary Problems

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Variational Principles And Free Boundary Problems

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Author : Avner Friedman
language : en
Publisher:
Release Date : 1988

Variational Principles And Free Boundary Problems written by Avner Friedman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.

This advanced graduate-level text examines variational methods in partial differential equations and illustrates their applications to a number of free-boundary problems. Detailed statements of the standard theory of elliptic and parabolic operators make this treatment readable for engineers, students, and nonspecialists alike. The text's first two chapters can be used for a single-semester graduate course in variational inequalities or partial differential equations. The succeeding chapters -- covering jets and cavities, variational problems with potentials, and free-boundary problems not in variational form -- are more specialized and self-contained. Readers who have mastered chapters 1 and 2 will be able to conduct research on the problems explored in subsequent chapters. Bibliographic remarks conclude each chapter, along with several problems and exercises.

Variational And Free Boundary Problems

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Author : Avner Friedman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Variational And Free Boundary Problems written by Avner Friedman 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 Science categories.

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.

Variational Principles And Free Boundary Problems

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Author :
language : en
Publisher:
Release Date : 1988

Variational Principles And Free Boundary Problems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.

Variational And Free Boundary Problems

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Author : Avner Friedman
language : en
Publisher: Springer
Release Date : 1993-10-22

Variational And Free Boundary Problems written by Avner Friedman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-10-22 with Science categories.

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.

Variational And Quasivariational Inequalities

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Author : C. Baiocchi
language : en
Publisher: John Wiley & Sons
Release Date : 1984

Variational And Quasivariational Inequalities written by C. Baiocchi 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 1984 with Mathematics categories.

Solving Free Boundary Problems With Applications In Finance

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Author : Kumar Muthuraman
language : en
Publisher: Now Publishers Inc
Release Date : 2008

Solving Free Boundary Problems With Applications In Finance written by Kumar Muthuraman and has been published by Now Publishers Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Boundary value problems categories.

Outlines and explains a recent computational method that solves free boundary problems by reducing them into a sequence of fixed boundary problems which are relatively easy to solve numerically.

A Variational Inequality Approach To Free Boundary Problems With Applications In Mould Filling

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Author : Jörg Steinbach
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

A Variational Inequality Approach To Free Boundary Problems With Applications In Mould Filling written by Jörg Steinbach and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This monograph studies an evolutionary variational inequality approach to a degenerate moving free boundary problem. It takes an intermediate position between elliptic and parabolic inequalities and comprises an elliptic differential operator, a memory term and time-dependent convex constraint sets. Finally, a description of injection and compression moulding is presented in terms of different mathematical models, a generalized Hele-Shaw flow, a distance concept and Navier-Stokes flow.

Variational Approach To Hyperbolic Free Boundary Problems

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Author : Seiro Omata
language : en
Publisher: Springer Nature
Release Date : 2022-11-28

Variational Approach To Hyperbolic Free Boundary Problems written by Seiro Omata and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-28 with Mathematics categories.

This volume is devoted to the study of hyperbolic free boundary problems possessing variational structure. Such problems can be used to model, among others, oscillatory motion of a droplet on a surface or bouncing of an elastic body against a rigid obstacle. In the case of the droplet, for example, the membrane surrounding the fluid in general forms a positive contact angle with the obstacle, and therefore the second derivative is only a measure at the contact free boundary set. We will show how to derive the mathematical problem for a few physical systems starting from the action functional, discuss the mathematical theory, and introduce methods for its numerical solution. The mathematical theory and numerical methods depart from the classical approaches in that they are based on semi-discretization in time, which facilitates the application of the modern theory of calculus of variations.

A Variational Inequality Approach To Free Boundary Problems With Applications In Mould Filling

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Author : Jorg Steinbach
language : en
Publisher:
Release Date : 2002-02-01

A Variational Inequality Approach To Free Boundary Problems With Applications In Mould Filling written by Jorg Steinbach and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-01 with categories.

Free Boundary Problems

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Author : J I Diaz
language : en
Publisher: CRC Press
Release Date : 1995-04-04

Free Boundary Problems written by J I Diaz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-04-04 with Mathematics categories.

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.