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Author: Rainer H. Picard
Publisher: Walter de Gruyter
ISBN: 3110250268
Category : Mathematics
Languages : en
Pages : 489
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Book Description
This book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev Lattice structure, a simple extension of the well established notion of a chain (or scale) of Hilbert spaces. The focus on a Hilbert space (rather than an apparently more general Banach space) setting is not a severe constraint, but rather a highly adaptable and suitable approach providing a more transparent framework for presenting the main issues in the development of a solution theory for partial differential equations. In contrast to other texts on partial differential equations which consider either specific types of partial differential equations or apply a collection of tools for solving a variety of partial differential equations, this book takes a more global point of view by focussing on the issues involved in determining the appropriate functional analytic setting in which a solution theory can naturally be developed. Applications to many areas of mathematical physics are presented. The book aims to be a largely self-contained. Full proofs to all but the most straightforward results are provided, keeping to a minimum references to other literature for essential material. It is therefore highly suitable as a resource for graduate courses and for researchers, who will find new results for particular evolutionary system from mathematical physics.
Author: Rainer H. Picard
Publisher: Walter de Gruyter
ISBN: 3110250268
Category : Mathematics
Languages : en
Pages : 489
Get Book Here
Book Description
This book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev Lattice structure, a simple extension of the well established notion of a chain (or scale) of Hilbert spaces. The focus on a Hilbert space (rather than an apparently more general Banach space) setting is not a severe constraint, but rather a highly adaptable and suitable approach providing a more transparent framework for presenting the main issues in the development of a solution theory for partial differential equations. In contrast to other texts on partial differential equations which consider either specific types of partial differential equations or apply a collection of tools for solving a variety of partial differential equations, this book takes a more global point of view by focussing on the issues involved in determining the appropriate functional analytic setting in which a solution theory can naturally be developed. Applications to many areas of mathematical physics are presented. The book aims to be a largely self-contained. Full proofs to all but the most straightforward results are provided, keeping to a minimum references to other literature for essential material. It is therefore highly suitable as a resource for graduate courses and for researchers, who will find new results for particular evolutionary system from mathematical physics.
Author: A.W. Snyder
Publisher: Springer Science & Business Media
ISBN: 1461328136
Category : Science
Languages : en
Pages : 742
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Book Description
This text is intended to provide an in-depth, self-contained, treatment of optical waveguide theory. We have attempted to emphasize the underlying physical processes, stressing conceptual aspects, and have developed the mathematical analysis to parallel the physical intuition. We also provide comprehensive supplementary sections both to augment any deficiencies in mathematical background and to provide a self-consistent and rigorous mathematical approach. To assist in. understanding, each chapter con centrates principally on a single idea and is therefore comparatively short. Furthermore, over 150 problems with complete solutions are given to demonstrate applications of the theory. Accordingly, through simplicity of approach and numerous examples, this book is accessible to undergraduates. Many fundamental topics are presented here for the first time, but, more importantly, the material is brought together to give a unified treatment of basic ideas using the simplest approach possible. To achieve such a goal required a maturation of the subject, and thus the text was intentionally developed over a protracted period of the last 10 years.
Author: L. Udpa
Publisher: Ios PressInc
ISBN: 9781586039202
Category : Technology & Engineering
Languages : en
Pages : 336
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Book Description
There were not many textbooks on shipping available for the students in the early 1990s. Therefore it was decided to write Shipping in 1996. One year earlier, Niko Wijnolst had published Design Innovation in Shipping, based on work at the Delft University of Technology. The two books together offered a comprehensive insight and overview into the dynamics of global shipping and maritime innovation. Although the core of the books held its value, it was decided to make an update of the two books and merge them into one new textbook, Shipping Innovation, destined for a broad specter of maritime students and professionals. Some substantial new parts were added, as well as some new contributions by other writers. This textbook offers a one-stop-shopping experience to those students and professionals who wish to get acquainted with the multifaceted aspects of global shipping and its everlasting innovation dynamics. Some of the new contributions are the mission-based design process of a Panamax containership and a ro-ro vessel; sustainable shipping and innovation; and an innovation case-study on the revolutionary design of a ballast-free ship.
Author: Swanhild Bernstein
Publisher: Springer
ISBN: 3319087711
Category : Mathematics
Languages : en
Pages : 228
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Book Description
Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to this: quaternionic analysis which merely uses quaternions, Clifford analysis which relies on Clifford algebras, and generalizations of complex variables to higher dimensions such as split-complex variables. This book includes a selection of papers presented at the session on quaternionic and hypercomplex analysis at the ISAAC conference 2013 in Krakow, Poland. The topics covered represent new perspectives and current trends in hypercomplex analysis and applications to mathematical physics, image analysis and processing, and mechanics.
Author: Gregory Barbillon
Publisher: Springer
ISBN: 9789811365515
Category : Technology & Engineering
Languages : en
Pages : 368
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Book Description
This tutorial book offers an in-depth overview of the fundamental principles of micro/nano technologies and devices related to sensing, actuation and diagnosis in fluidics and biosystems. Research in the MEMS/NEMS and lab-on-chip fields has seen rapid growth in both academic and industrial domains, as these biodevices and systems are increasingly replacing traditional large size diagnostic tools. This book is unique in describing not only the devices and technologies but also the basic principles of their operation. The comprehensive description of the fabrication, packaging and principles of micro/nano biosystems presented in this book offers guidance for researchers designing and implementing these biosystems across diverse fields including medical, pharmaceutical and biological sciences. The book provides a detailed overview of the fundamental mechanical, optical, electrical and magnetic principles involved, together with the technologies required for the design, fabrication and characterization of micro/nano fluidic systems and bio-devices. Written by a collaborative team from France and Korea, the book is suitable for academics, researchers, advanced level students and industrial manufacturers.
Author: Mickaël Lallart
Publisher: BoD – Books on Demand
ISBN: 9533071176
Category : Technology & Engineering
Languages : en
Pages : 394
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Book Description
Vibrations are a part of our environment and daily life. Many of them are useful and are needed for many purposes, one of the best example being the hearing system. Nevertheless, vibrations are often undesirable and have to be suppressed or reduced, as they may be harmful to structures by generating damages or compromise the comfort of users through noise generation of mechanical wave transmission to the body. the purpose of this book is to present basic and advanced methods for efficiently controlling the vibrations and limiting their effects. Open-access publishing is an extraordinary opportunity for a wide dissemination of high quality research. This book is not an exception to this, and I am proud to introduce the works performed by experts from all over the world.
Author: Volker Saile
Publisher: John Wiley & Sons
ISBN: 3527316981
Category : Technology & Engineering
Languages : en
Pages : 491
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Book Description
Covering technological aspects as well as the suitability and applicability of various kinds of uses, this handbook shows optimization strategies, techniques and assembly pathways to achieve the combination of complex, even three-dimensional structures with simple manufacturing steps. The authors provide information on markets, commercialization opportunities and aspects of mass or large-scale production as well as design tools, experimental techniques, novel materials, and ideas for future improvements. Not only do they weigh up cost versus quantity, they also consider CMOS and LIGA strategies. Of interest to physicists, electronics engineers, materials scientists, institutional and industrial libraries as well as graduate students of the relevant disciplines.
Author: Masahiko Hirao
Publisher: Springer
ISBN: 443156036X
Category : Technology & Engineering
Languages : en
Pages : 382
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Book Description
This second edition provides comprehensive information on electromagnetic acoustic transducers (EMATs), from the theory and physical principles of EMATs to the construction of systems and their applications to scientific and industrial ultrasonic measurements on materials. The original version has been complemented with selected ideas on ultrasonic measurement that have emerged since the first edition was released. The book is divided into four parts: PART I offers a self-contained description of the basic elements of coupling mechanisms along with the practical designing of EMATs for various purposes. Several implementations to compensate for EMATs’ low transfer efficiency are provided, along with useful tips on how to make an EMAT. PART II describes the principle of electromagnetic acoustic resonance (EMAR), which makes the most of EMATs’ contactless nature and is the most successful amplification mechanism for precise measurements of velocity and attenuation. PART III applies EMAR to studying physical acoustics. New measurements have emerged with regard to four major subjects: in situ monitoring of dislocation behavior, determination of anisotropic elastic constants, pointwise elasticity mapping (RUM), and acoustic nonlinearity evolution. PART IV deals with a variety of individual issues encountered in industrial applications, for which the EMATs are believed to be the best solutions. This is proven by a number of field applications.
Author: Gérard Meunier
Publisher: John Wiley & Sons
ISBN: 0470393807
Category : Science
Languages : en
Pages : 618
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Book Description
Written by specialists of modeling in electromagnetism, this book provides a comprehensive review of the finite element method for low frequency applications. Fundamentals of the method as well as new advances in the field are described in detail. Chapters 1 to 4 present general 2D and 3D static and dynamic formulations by the use of scalar and vector unknowns and adapted interpolations for the fields (nodal, edge, face or volume). Chapter 5 is dedicated to the presentation of different macroscopic behavior laws of materials and their implementation in a finite element context: anisotropy and hysteretic properties for magnetic sheets, iron losses, non-linear permanent magnets and superconductors. More specific formulations are then proposed: the modeling of thin regions when finite elements become misfit (Chapter 6), infinite domains by using geometrical transformations (Chapter 7), the coupling of 2D and 3D formulations with circuit equations (Chapter 8), taking into account the movement, particularly in the presence of Eddy currents (Chapter 9) and an original approach for the treatment of geometrical symmetries when the sources are not symmetric (Chapter 10). Chapters 11 to 13 are devoted to coupled problems: magneto-thermal coupling for induction heating, magneto-mechanical coupling by introducing the notion of strong and weak coupling and magneto-hydrodynamical coupling focusing on electromagnetic instabilities in fluid conductors. Chapter 14 presents different meshing methods in the context of electromagnetism (presence of air) and introduces self-adaptive mesh refinement procedures. Optimization techniques are then covered in Chapter 15, with the adaptation of deterministic and probabilistic methods to the numerical finite element environment. Chapter 16 presents a variational approach of electromagnetism, showing how Maxwell equations are derived from thermodynamic principles.
Author: A. Bossavit
Publisher: IOS Press
ISBN: 9781586034191
Category : Medical
Languages : en
Pages : 686
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Book Description
This publication contains a selection of 124 papers among the 165 full-length contributions which were submitted on-site at ISEM 2003. The objective of the symposia series is to vigorously promote the research in the field of electro-mechanical systems. The reader will, we hope, appreciate the variety of topics that were addressed. This is what makes ISEM so stimulating for whoever is interested in the applications of electromagnetics and its opening toward many technical fields. Yet, this publication does not intend to be a mosaic of sub-disciplines, but aims at their integration and synergy. This will be demonstrated by the present selection.
