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OverviewThe method of compensated compactness as a technique for studying hyperbolic conservation laws is of fundamental importance in many branches of applied mathematics. Until now, however, most accounts of this method have been confined to research papers. Offering the first comprehensive treatment, Hyperbolic Conservation Laws and the Compensated Compactness Method gathers together into a single volume the essential ideas and developments. The authors begin with the fundamental theorems, then consider the Cauchy problem of the scalar equation, build a framework for L8 estimates of viscosity solutions, and introduce the Invariant Region Theory. The study then turns to methods for symmetric systems of two equations and two equations with quadratic flux, and the extension of these methods to the Le Roux system. After examining the system of polytropic gas dynamics (g-law), the authors first study two special systems of one-dimensional Euler equations, then consider the general Euler equations for one-dimensional compressible fluid flow, and extend that method to systems of elasticity in L8 space. Weak solutions for the elasticity system are introduced and an application to adiabatic gas flow through porous media is considered. The final four chapters explore applications of the compensated compactness method to the relaxation problem. With its careful account of the underlying ideas, development of applications in key areas, an inclusion of the author's own contributions to the field, this monograph will prove a welcome addition to the literature and to your library. Full Product DetailsAuthor: Yunguang Lu (National University of Colombia, Bogota, Colombia) , Alan Jeffrey (University of Newcastle upon Tyne, UK) , Haim Brezis , Ronald G. Douglas (Texas A & M University)Publisher: Taylor & Francis Ltd Imprint: Chapman & Hall/CRC Weight: 0.453kg ISBN: 9780367454739ISBN 10: 0367454734 Pages: 256 Publication Date: 27 September 2002 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsThe book is carefully written and will be appreciated both by PhD students and experts in the field as one of a few books gathering the knowledge ... [previously] dispersed among research papers. - EMS Newsletter, Dec. 2004 The book is carefully written and will be appreciated both by PhD students and experts in the field as one of a few books gathering the knowledge [previously] dispersed among research papers. - EMS Newsletter, Dec. 2004 Author InformationYunguang Lu is a Professor of Mathematics at the University of Columbia, Bogota and at the University of Science and Technology of China, Hefei. Tab Content 6Author Website:Countries AvailableAll regions |
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