The Hyperboloidal Foliation Method

Author: Philippe G LeFloch,Yue Ma

Publisher: World Scientific

ISBN: 9814641642

Category: Mathematics

Page: 160

View: 3314


The “Hyperboloidal Foliation Method” introduced in this monograph is based on a (3 + 1) foliation of Minkowski spacetime by hyperboloidal hypersurfaces. This method allows the authors to establish global-in-time existence results for systems of nonlinear wave equations posed on a curved spacetime. It also allows to encompass the wave equation and the Klein-Gordon equation in a unified framework and, consequently, to establish a well-posedness theory for a broad class of systems of nonlinear wave-Klein-Gordon equations. This book requires certain natural (null) conditions on nonlinear interactions, which are much less restrictive that the ones assumed in the existing literature. This theory applies to systems arising in mathematical physics involving a massive scalar field, such as the Dirac-Klein-Gordon systems. Contents:IntroductionThe Hyperboloidal Foliation and the Bootstrap StrategyDecompositions and Estimates for the CommutatorsThe Null Structure in the Semi-Hyperboloidal FrameSobolev and Hardy Inequalities on HyperboloidsRevisiting Scalar Wave EquationsFundamental L∞ and L2 EstimatesSecond-Order Dervatives of the Wave ComponentsNull Forms and Decay in TimeL2 Estimate on the Interaction TermsThe Local Well-Posedness TheoryBibliography Readership: Graduate students and researchers in analysis and differential equations. This book could serve as part of graduate course on nonlinear wave equations. Keywords:Nonlinear Waves;Hyperbolic System;Existence Theory;Curved Spacetime;Hyperboloidal;Foliation;Massive Scalar Field

High-Performance Computing and Networking

International Conference and Exhibition, Amsterdam, The Netherlands, April 21-23, 1998 Proceedings

Author: Peter Sloot,Marian Bubak

Publisher: Springer Science & Business Media

ISBN: 9783540644439

Category: Computers

Page: 1039

View: 9506


Proceedings -- Parallel Computing.

Fuzzy Logic

Implementation and Applications

Author: Marek J. Patyra,Daniel J. Mlynek

Publisher: Springer Science & Business Media

ISBN: 3322889556

Category: Technology & Engineering

Page: 317

View: 8095


This edited volume contains ten papers on the subject of fuzzy technology. Fuzzy technology emerged as a combination of fuzzy sets theory, fuzzy logic and fuzzy-based reasoning. As a technology it gained a very practical meaning through thousands of applications in different theoretical as well as practical disciplines, covering mathematics, physics, chemistry, biology, life science, social science, economy, computer science, and (foremost) electrical, electronic, mechanical, nuclear, chemical, textile, aeronautic, ocean, and many other engineering disciplines. The goal of this book is to create an interest in fuzzy technology among researchers, engineers, professionals and students involved in the research and development in the broad area of artificial intelligence. This book is also intended to bring the reader up-to-date in the area of implementations and applications of fuzzy technology, as well as to generate and stimulate new research ideas in this area. It may inspire and motivate the researcher in new directions, as well as creating a force for new efforts to make a fuzzy technology commonly known and used in science and engineering. This volume appears at a time of unprecedented research interest in the field of fuzzy technology. I intentionally wrote research due to the events that have occurred during the last couple of years. To be more specific, I should describe this interest geographically.

Lie Groups

An Approach through Invariants and Representations

Author: Claudio Procesi

Publisher: Springer Science & Business Media

ISBN: 0387289291

Category: Mathematics

Page: 600

View: 794


Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. In Lie Groups: An Approach through Invariants and Representations, the author's masterful approach gives the reader a comprehensive treatment of the classical Lie groups along with an extensive introduction to a wide range of topics associated with Lie groups: symmetric functions, theory of algebraic forms, Lie algebras, tensor algebra and symmetry, semisimple Lie algebras, algebraic groups, group representations, invariants, Hilbert theory, and binary forms with fields ranging from pure algebra to functional analysis. By covering sufficient background material, the book is made accessible to a reader with a relatively modest mathematical background. Historical information, examples, exercises are all woven into the text. This unique exposition is suitable for a broad audience, including advanced undergraduates, graduates, mathematicians in a variety of areas from pure algebra to functional analysis and mathematical physics.

The Piano Teacher

Author: Elfriede Jelinek

Publisher: Profile Books

ISBN: 1847653065

Category: Fiction

Page: 226

View: 2497


Erika Kohut teaches piano at the Vienna Conservatory by day. By night she trawls the city's porn shows while her mother, whom she loves and hates in equal measure, waits up for her. Into this emotional pressure-cooker bounds music student and ladies' man Walter Klemmer. With Walter as her student, Erika spirals out of control, consumed by the ecstasy of self-destruction. A haunting tale of morbid voyeurism and masochism, The Piano Teacher, first published in 1983, is Elfreide Jelinek's Masterpiece. Jelinek was awarded the Nobel Prize For Literature in 2004 for her 'musical flow of voices and counter-voices in novels and plays that, with extraordinary linguistic zeal, reveal the absurdity of society's clichs and their subjugating power. The Piano Teacher was adapted into an internationally successful film by Michael Haneke, which won three major prizes at Cannes, including the Grand Prize and Best Actress for Isabelle Huppert.

Loopholes of Real Estate

Author: Garrett Sutton

Publisher: RDA Press, LLC

ISBN: 1937832473

Category: Business & Economics

Page: 220

View: 4821


The Loopholes of Real Estate reveals the tax and legal strategies used by the rich for generations to acquire and benefit from real estate investments. Clearly written, The Loopholes of Real Estate shows you how to open tax loopholes for your benefit and close legal loopholes for your protection.

Activities of the Conference: Resolutions of the Council of Ministers of Transport and Reports Approved in 1993 Fortieth Annual Report (1993)

Fortieth Annual Report (1993)

Author: European Conference of Ministers of Transport

Publisher: OECD Publishing

ISBN: 9282106756


Page: 286

View: 3809


This book includes a description of the activities of ECMT and information trends in transport in europe in 1993, along with texts of all resolutions and reports approved during that period.

Be a Great Flirt

Author: Sam Van Rood

Publisher: Hachette UK

ISBN: 1444133764

Category: Family & Relationships

Page: 176

View: 2002


Teach Yourself - the world's leading learning brand - is relaunched in 2010 as a multi-platform experience that will keep you motivated to achieve your goals. Let our expert author guide you through this brand new edition, with personal insights, tips, energising self-tests and summaries throughout the book. Go online at for tests, extension articles and a vibrant community of like-minded learners. And if you don't have much time, don't worry - every book gives you 1, 5 and 10-minute bites of learning to get you started. Be A Great Flirt is your complete handbook for social success at every level. Whether you are young or old, a first time singleton or reentering the fray, male or female, it uses proven psychological strategies and NLP techniques to help you communicate effectively and enjoyably to make friends and hopefully form longer-term relationships. The only book to be authored by a male life-coach and flirt doctor, the book will also give a unique perspective from the male point of view. It will be the only title to explain how flirting at work can help enhance and progress your career, will be full of practical exercises, tips, hints and case studies, and be accompanied by a CD to help you get to grips with the practicalities of flirting at every level.