Elliptic PDEs Measures and Capacities

Author: Augusto C. Ponce
Publisher: European Mathematical Society
ISBN: 3037191406
Release Date: 2016
Genre: Differential equations, Elliptic

Partial differential equations (PDEs) and geometric measure theory (GMT) are branches of analysis whose connections are usually not emphasized in introductory graduate courses. Yet one cannot dissociate the notions of mass or electric charge, naturally described in terms of measures, from the physical potential they generate. Having such a principle in mind, this book illustrates the beautiful interplay between tools from PDEs and GMT in a simple and elegant way by investigating properties such as existence and regularity of solutions of linear and nonlinear elliptic PDEs. Inspired by a variety of sources, from the pioneer balayage scheme of Poincare to more recent results related to the Thomas-Fermi and Chern-Simons models, the problems covered in this book follow an original presentation, intended to emphasize the main ideas in the proofs. Classical techniques such as regularity theory, maximum principles and the method of sub- and supersolutions are adapted to the setting where merely integrability or density assumptions on the data are available. The distinguished role played by capacities and precise representatives is also explained. Other special features are: the remarkable equivalence between Sobolev capacities and Hausdorff contents in terms of trace inequalities; the strong approximation of measures in terms of capacities or densities, normally absent from GMT books; and the rescue of the strong maximum principle for the Schrodinger operator involving singular potentials. This book invites the reader on a trip through modern techniques in the frontier of elliptic PDEs and GMT and is addressed to graduate students and researchers with a deep interest in analysis. Most of the chapters can be read independently, and only a basic knowledge of measure theory, functional analysis, and Sobolev spaces is required.

The Manual of Scientific Style

Author: Harold Rabinowitz
Publisher: Elsevier
ISBN: 0080557961
Release Date: 2009-06-12
Genre: Medical

Much like the Chicago Manual of Style, The Manual of Scientific Style addresses all stylistic matters in the relevant disciplines of physical and biological science, medicine, health, and technology. It presents consistent guidelines for text, data, and graphics, providing a comprehensive and authoritative style manual that can be used by the professional scientist, science editor, general editor, science writer, and researcher. Scientific disciplines treated independently, with notes where variances occur in the same linguistic areas Organization and directives designed to assist readers in finding the precise usage rule or convention A focus on American usage in rules and formulations with noted differences between American and British usage Differences in the various levels of scientific discourse addressed in a variety of settings in which science writing appears Instruction and guidance on the means of improving clarity, precision, and effectiveness of science writing, from its most technical to its most popular

Moonwatch Only

Author: Grégoire Rossier
Publisher: Watchprint.com Sarl
ISBN: 2940506175
Release Date: 2017-03

-A new edition of this definitive book, marking the 60th anniversary of the Speedmaster -Includes new features and additional historical information "The OMEGA Speedmaster Professional - the Moonwatch - has done things that no other timepiece has done and it has been worn in places that only a few human beings have been." - Captain Eugene Cernan, last man on the moon "It is an indescribable reference work and a true must-have for every Speedmaster collector." - Forbes There are very few timepieces in the world that deserve a definitive and comprehensive book. The OMEGA Speedmaster Professional Moonwatch is one of them. Initially designed for automobile racing teams and engineers, the Omega Speedmaster embarked on a very different trajectory when NASA chose it to accompany astronauts heading for the Moon in 1965. Its involvement in the space adventure has propelled the Moonwatch to the top of the list of celebrated timepieces. After years of research and observation, the authors present a complete panorama of the Moonwatch in a systematic work that is both technical and attractive, making it the unparalleled reference book for this legendary watch. This new edition, marking the 60th anniversary of the Speedmaster, has been enriched with numerous new features and additional historical information. Contents: Foreword by Raynald Aeschlimann, President and CEO of OMEGA; Foreword by Captain Eugene Cernan, Commander of Apollo 17; Why a Speedmaster Moonwatch guide?; Part 1 - Speedmaster History; 1, Major Dates; 2, Speedmaster and NASA 25; Part 2 - Main Components and Accessories; 1, An Original Approach; 2, The Caliber; 3, The Caseband; 4, The Dial; 5, The Bezel; 6, The Hands; 7, The Caseback; 8, The Crown; 9, The Pushers; 10, The Glass; 11, The Bracelet; 12, The Presentation Box; 13, The Documents; Part 3 - The Models; 1, Introduction; 2, Standard Production; 3, Special and Limited Series; 4, Personalized Models and Special Projects; 5, The Alaska Project; Part 4 - 60 Years of Innovation; Part 5 - How to Start Collecting Speedmasters; 1, Budget; 2, Choosing a Model; 3, Sales Channels; Part 6 - Appendices; 1, Model Codes; 2, Tables & Bibliography; 3, Contributions; 4, Identification Aid

Advances in Computational Fluid Structure Interaction and Flow Simulation

Author: Yuri Bazilevs
Publisher: Birkhäuser
ISBN: 9783319408279
Release Date: 2016-10-15
Genre: Mathematics

This contributed volume celebrates the work of Tayfun E. Tezduyar on the occasion of his 60th birthday. The articles it contains were born out of the Advances in Computational Fluid-Structure Interaction and Flow Simulation (AFSI 2014) conference, also dedicated to Prof. Tezduyar and held at Waseda University in Tokyo, Japan on March 19-21, 2014. The contributing authors represent a group of international experts in the field who discuss recent trends and new directions in computational fluid dynamics (CFD) and fluid-structure interaction (FSI). Organized into seven distinct parts arranged by thematic topics, the papers included cover basic methods and applications of CFD, flows with moving boundaries and interfaces, phase-field modeling, computer science and high-performance computing (HPC) aspects of flow simulation, mathematical methods, biomedical applications, and FSI. Researchers, practitioners, and advanced graduate students working on CFD, FSI, and related topics will find this collection to be a definitive and valuable resource.


Author: Alexander Balanov
Publisher: Springer Science & Business Media
ISBN: 9783540721284
Release Date: 2008-11-23
Genre: Science

This fascinating work is devoted to the fundamental phenomenon in physics – synchronization that occurs in coupled non-linear dissipative oscillators. Examples of such systems range from mechanical clocks to population dynamics, from the human heart to neural networks. The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating systems can be described in the framework of the general approach, and the authors study this phenomenon as applied to oscillations of different types, such as those with periodic, chaotic, noisy and noise-induced nature.

Handbook of Nanophysics

Author: Klaus D. Sattler
Publisher: CRC Press
ISBN: 1420075519
Release Date: 2010-09-17
Genre: Science

Many bottom-up and top-down techniques for nanomaterial and nanostructure generation have enabled the development of applications in nanoelectronics and nanophotonics. Handbook of Nanophysics: Nanoelectronics and Nanophotonics explores important recent applications of nanophysics in the areas of electronics and photonics. Each peer-reviewed chapter contains a broad-based introduction and enhances understanding of the state-of-the-art scientific content through fundamental equations and illustrations, some in color. This volume discusses how different nanomaterials, such as quantum dots and nanotubes, are used in quantum computing, capacitors, and transistors. Leading international experts review the potential of the novel patterning techniques in molecular electronics as well as nanolithography approaches for producing semiconductor circuits. They also describe optical properties of nanostructures, nanowires, nanorods, and clusters, including cathodoluminescence, photoluminescence, and polarization-sensitivity. In addition, the book covers nanophotonic devices and nanolasers. Nanophysics brings together multiple disciplines to determine the structural, electronic, optical, and thermal behavior of nanomaterials; electrical and thermal conductivity; the forces between nanoscale objects; and the transition between classical and quantum behavior. Facilitating communication across many disciplines, this landmark publication encourages scientists with disparate interests to collaborate on interdisciplinary projects and incorporate the theory and methodology of other areas into their work.

Theory of Bergman Spaces

Author: Hakan Hedenmalm
Publisher: Springer Science & Business Media
ISBN: 9781461204978
Release Date: 2012-12-06
Genre: Mathematics

Fifteen years ago, most mathematicians who worked in the intersection of function theory and operator theory thought that progress on the Bergman spaces was unlikely, yet today the situation has completely changed. For several years, research interest and activity have expanded in this area and there are now rich theories describing the Bergman spaces and their operators. This book is a timely treatment of the theory, written by three of the major players in the field.

European Congress of Mathematics Barcelona July 10 14 2000

Author: Carles Casacuberta
Publisher: Springer Science & Business Media
ISBN: 3764364173
Release Date: 2001-12-01
Genre: Mathematics

The Third European Congress of Mathematics (3ecm) took place from July 10th to July 14th, 2000 in Barcelona. It was organised by the Societat Catalana de Matematiques (Catalan Mathematical Society), under the auspices of the Euro­ pean Mathematical Society (EMS). As foreseen by the EMS and the International Mathematical Union, this Congress was a major event in World Mathematical Year 2000. In addition to reviewing outstanding research achievements, important aspects of the life of European mathematics were discussed. Mathematics is undergoing a period of rapid changes. Effective computation and applications in science and technology go ever more hand in hand with con­ ceptual developments. It was one of the aims of 3ecm to reflect this mutual enrich­ ment, while steering present and future trends of mathematical sciences. In fact, the motto of the Congress, Shaping the 21st Century, was meant to capture these views. Nearly 1400 people from 87 countries gathered together in the Palau de Con­ gressos of Barcelona in order to take part in the activities of the 3ecm scientific programme: Nine plenary lectures, thirty invited lectures in parallel sessions, lec­ tures given by EMS prize winners, ten mini-symposia on special topics, seven round tables, poster sessions, presentations of mathematical software and video exhibitions. Twenty events were satellites of 3ecm in various countries.

Nonlocal Diffusion and Applications

Author: Claudia Bucur
Publisher: Springer
ISBN: 9783319287393
Release Date: 2016-04-08
Genre: Mathematics

Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger equations are given. Furthermore, an example of an s-harmonic function, its harmonic extension and some insight into a fractional version of a classical conjecture due to De Giorgi are presented. Although the aim is primarily to gather some introductory material concerning applications of the fractional Laplacian, some of the proofs and results are new. The work is entirely self-contained, and readers who wish to pursue related subjects of interest are invited to consult the rich bibliography for guidance.

The Theory of Cluster Sets

Author: E. F. Collingwood
Publisher: Cambridge University Press
ISBN: 0521604818
Release Date: 1966
Genre: Mathematics

An introduction to the theory of cluster sets, a branch of topological analysis.

Combinatorial and Additive Number Theory

Author: Melvyn B. Nathanson
Publisher: Springer
ISBN: 9781493916016
Release Date: 2014-10-18
Genre: Mathematics

This proceedings volume is based on papers presented at the Workshops on Combinatorial and Additive Number Theory (CANT), which were held at the Graduate Center of the City University of New York in 2011 and 2012. The goal of the workshops is to survey recent progress in combinatorial number theory and related parts of mathematics. The workshop attracts researchers and students who discuss the state-of-the-art, open problems and future challenges in number theory.

Piezoelectric Transducers and Applications

Author: Antonio Arnau Vives
Publisher: Springer Science & Business Media
ISBN: 9783540775089
Release Date: 2008-10-10
Genre: Technology & Engineering

This updated guide to the current state-of-the-art of this complex and multidisciplinary area fills an urgent need for a unified source of information on piezoelectric devices and their astounding variety of existing and emerging applications. New understandings underlying the principles of Piezoelectric Transducers, new technological advances in its applications, and new areas of utility for these transducers made a second edition of this book inevitable.