Calculus of Variations and Geometric Evolution Problems

Calculus of Variations and Geometric Evolution Problems PDF Author: F. Bethuel
Publisher: Springer
ISBN: 3540488138
Category : Mathematics
Languages : en
Pages : 299

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Book Description
The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996. The contributions to this volume reflect quite closely the lectures given at Cetraro which have provided an image of a fairly broad field in analysis where in recent years we have seen many important contributions. Among the topics treated in the courses were variational methods for Ginzburg-Landau equations, variational models for microstructure and phase transitions, a variational treatment of the Plateau problem for surfaces of prescribed mean curvature in Riemannian manifolds - both from the classical point of view and in the setting of geometric measure theory.

Metastability and Incompletely Posed Problems

Metastability and Incompletely Posed Problems PDF Author: Stuart S. Antman
Publisher: Springer Science & Business Media
ISBN: 1461387043
Category : Science
Languages : en
Pages : 379

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Book Description
This IMA Volume in Mathematics and its Applications Metastability and Incompletely Posed Problems represents the proceedings of a workshop which was an integral part of the 19R4-R5 IMA program on CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EOIIATIONS. We are grateful to the Scientific Committee: ,I.L. Eri cksen D. Kinderlehrer H. Rrezis C. Dafermos for their dedication and hard work in developing an imaginative, stimulating, and productive year-long program. George R. Sell Hans Weinberger Preface Most equilibrium events in nature do not realize configurations of minimum energy. They are only metastable. Available knowledge of constitutive relations and environmental interactions may be limiterl. As a result, many configurations may he compatible with the rlata. Such questions are incompletely poserl. The papers in this volume address a wide variety of these issues as they are perceived by the material scientist and the mathematician. They represent a portion of the significant activity which has been underway in recent years, from the experimental arena and physical theory to the analysis of differential equations and computation.

Metastability and Incompletely Posed Problems

Metastability and Incompletely Posed Problems PDF Author: Stuart S. Antman
Publisher:
ISBN: 9783540964629
Category : Champs, Théorie des (Physique) - Congrès
Languages : en
Pages : 372

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Book Description


Control of Distributed Parameter Systems 1989

Control of Distributed Parameter Systems 1989 PDF Author: M. Amouroux
Publisher: Elsevier
ISBN: 1483298817
Category : Technology & Engineering
Languages : en
Pages : 533

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Book Description
This volume presents state-of-the-art reports on the theory, and current and future applications of control of distributed parameter systems. The papers cover the progress not only in traditional methodology and pure research in control theory, but also the rapid growth of its importance for different applications. This title will be of interest to researchers working in the areas of mathematics, automatic control, computer science and engineering.

Advances in Continuum Mechanics and Thermodynamics of Material Behavior

Advances in Continuum Mechanics and Thermodynamics of Material Behavior PDF Author: Donald E. Carlson
Publisher: Springer Science & Business Media
ISBN: 9401007284
Category : Science
Languages : en
Pages : 431

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Book Description
The papers included in this volume were presented at the Symposium on Advances in the Continuum Mechanics and Thermodynamics of Material Behavior, held as part of the 1999 Joint ASME Applied Mechanics and Materials Summer Conference at Virginia Tech on June 27-30, 1999. The Symposium was held in honor of Professor Roger L. Fosdick on his 60th birthday. The papers are written by prominent researchers in the fields of mechanics, thermodynamics, materials modeling, and applied mathematics. They address open questions and present the latest development in these and related areas. This volume is a valuable reference for researchers and graduate students in universities and research laboratories.

Large-Scale Optimization with Applications

Large-Scale Optimization with Applications PDF Author:
Publisher: Springer Science & Business Media
ISBN: 9780387982878
Category : Engineering design
Languages : en
Pages : 354

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Book Description


Pattern Formation in Continuous and Coupled Systems

Pattern Formation in Continuous and Coupled Systems PDF Author: Martin Golubitsky
Publisher: Springer Science & Business Media
ISBN: 1461215587
Category : Mathematics
Languages : en
Pages : 324

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Book Description
This IMA Volume in Mathematics and its Applications PATTERN FORMATION IN CONTINUOUS AND COUPLED SYSTEMS is based on the proceedings of a workshop with the same title, but goes be yond the proceedings by presenting a series of mini-review articles that sur vey, and provide an introduction to, interesting problems in the field. The workshop was an integral part of the 1997-98 IMA program on "EMERG ING APPLICATIONS OF DYNAMICAL SYSTEMS." I would like to thank Martin Golubitsky, University of Houston (Math ematics) Dan Luss, University of Houston (Chemical Engineering), and Steven H. Strogatz, Cornell University (Theoretical and Applied Mechan ics) for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Foundation (NSF), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr., Professor and Director v PREFACE Pattern formation has been studied intensively for most of this cen tury by both experimentalists and theoreticians, and there have been many workshops and conferences devoted to the subject. In the IMA workshop on Pattern Formation in Continuous and Coupled Systems held May 11-15, 1998 we attempted to focus on new directions in the patterns literature.

Mechanics and Thermodynamics of Continua

Mechanics and Thermodynamics of Continua PDF Author: Hershel Markovitz
Publisher: Springer Science & Business Media
ISBN: 3642759750
Category : Technology & Engineering
Languages : en
Pages : 575

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Book Description
Reprinted from Archive for Rational Mechanics and Analysis edited by C. Truesdell

Amorphous Polymers and Non-Newtonian Fluids

Amorphous Polymers and Non-Newtonian Fluids PDF Author: Constantine Dafermos
Publisher: Springer Science & Business Media
ISBN: 146121064X
Category : Science
Languages : en
Pages : 207

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Book Description
This IMA Volume in Mathematics and its Applications AMORPHOUS POLYMERS AND NON-NEWTONIAN FLUIDS is in part the proceedings of a workshop which was an integral part of the 1984-85 IMA program on CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EQUATIONS We are grateful to the Scientific Committee: Haim Brezis Constantine Dafermos Jerry Ericksen David Kinderlehrer for planning and implementing an exciting and stimulating year-long program. We espe cially thank the Program Organizers, Jerry Ericksen, David Kinderlehrer, Stephen Prager and Matthew Tirrell for organizing a workshop which brought together scientists and mathematicians in a variety of areas for a fruitful exchange of ideas. George R. Sell Hans Weinberger Preface Experiences with amorphous polymers have supplied much of the motivation for developing novel kinds of molecular theory, to try to deal with the more significant features of systems involving very large molecules with many degrees offreedom. Similarly, the observations of many unusual macroscopic phenomena has stimulated efforts to develop linear and nonlinear theories of viscoelasticity to describe them. In either event, we are confronted not with a well-established, specific set of equations, but with a variety of equations, conforming to a loose pattern and suggested by general kinds of reasoning. One challenge is to devise techniques for finding equations capable of delivering definite and reliable predictions. Related to this is the issue of discovering ways to better grasp the nature of solutions ofthose equations showing some promise.

Nonlinear Optical Materials

Nonlinear Optical Materials PDF Author: Jerome V. Moloney
Publisher: Springer Science & Business Media
ISBN: 1461217148
Category : Mathematics
Languages : en
Pages : 261

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Book Description
Mathematical methods play a significant role in the rapidly growing field of nonlinear optical materials. This volume discusses a number of successful or promising contributions. The overall theme of this volume is twofold: (1) the challenges faced in computing and optimizing nonlinear optical material properties; and (2) the exploitation of these properties in important areas of application. These include the design of optical amplifiers and lasers, as well as novel optical switches. Research topics in this volume include how to exploit the magnetooptic effect, how to work with the nonlinear optical response of materials, how to predict laser-induced breakdown in efficient optical devices, and how to handle electron cloud distortion in femtosecond processes.

Codes, Systems, and Graphical Models

Codes, Systems, and Graphical Models PDF Author: Brian Marcus
Publisher: Springer Science & Business Media
ISBN: 1461301653
Category : Computers
Languages : en
Pages : 520

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Book Description
Coding theory, system theory, and symbolic dynamics have much in common. A major new theme in this area of research is that of codes and systems based on graphical models. This volume contains survey and research articles from leading researchers at the interface of these subjects.