Download or read book Nonstrictly Hyperbolic Conservation Laws written by Barbara Lee Keyfitz and published by American Mathematical Soc.. This book was released on 1987 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The area of nonstrictly hyperbolic conservation laws is emerging as an important field, not only because it developed from applications of current interest, such as reservoir simulation, visco-elasticity, and multiphase flow, but also because the subject raises interesting mathematical questions of well-posedness, the structure of solutions, and admissibility criteria for weak solutions. The papers in this collection are based on talks presented at an AMS Special Session, held in Anaheim, California, in January 1985. Requiring some background in conservation laws, this collection will be of interest to research mathematicians working in the field of nonstrictly hyperbolic partial differential equations, as well as students who are learning the area and are looking for new applications and challenging problems in this field. The collection provides an overview of the field, examples of applications, descriptions of available techniques, and a bibliography of the literature.

Download or read book Nonstrictly Hyperbolic Conservation Laws written by Barbara L. Keyfitz and published by . This book was released on 1989 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: This project has centered on formulating and solving mathematical problems that arise in the study of systems of conservation laws that are not of the classical, strictly hyperbolic type. Potential applications for these results are found in models for three-phases flow in porous media, for compressible two-phase flow, and for flow in elastic and elastoplastic materials (including continuum models for granular flow). Modelling of many different flow processes has led to systems of conservation laws in which the classical assumptions breakdown in a way which leads to distrust of the models. Research in this and allied projects is directed at extending the mathematical theory of conservation laws. The practical goal of this research is to discover which models are well-posed, and, hence, to enable applied scientists to discover which are correct descriptions of various observed instabilities. (JHD).

Download or read book Analysis of Systems of Conservation Laws written by Heinrich Freistuhler and published by CRC Press. This book was released on 1998-12-30 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems of partial differential equations reflecting conservation laws hold significant relevance to a variety of theoretical and practical applications, including compressible fluid flow, electromagnetism, elasticity theory, and other areas of continuum mechanics. This field of nonlinear analysis is currently experiencing a marked increase in successful research activity. The EU-TMR network "Hyperbolic Systems of Conservation Laws held a summer program offering short courses on the Analysis of Systems of Conservation Laws. This book contains five of the self-contained short courses presented during this program by experts of international reputation. These courses, which address solutions to hyperbolic systems by the front tracking method, non-strictly hyperbolic conservation laws, hyperbolic-elliptic coupled systems, hyperbolic relaxation problems, the stability of nonlinear waves in viscous media and numerics, and more, represent the state of the art of most central aspects of the field.

Download or read book Nonstrictly Hyperbolic Conservation Laws written by Barbara Lee Keyfitz and published by . This book was released on 1987 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On the Cauchy Problem of a 2 X 2 System of Nonstrictly Hyperbolic Conservation Laws written by Pui Tak Kan and published by . This book was released on 1989 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On the Cauchy Problem of a 2 X 2 System of Nonstrictly Hyperbolic Conservation Laws written by Pui Tak Kan and published by . This book was released on 1989 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Undercompressive Shocks for Nonstrictly Hyperbolic Conservation Laws written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1990 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Hyperbolic Conservation Laws in Continuum Physics written by Constantine M. Dafermos and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a lucid and authoritative exposition of the mathematical theory of hyperbolic system laws. The second edition contains a new chapter recounting exciting recent developments on the vanishing viscosity method. Numerous new sections introduce newly derived results. From the reviews: "The author is known as one of the leading experts in the field. His masterly written book is, surely, the most complete exposition in the subject of conservations laws." --Zentralblatt MATH

Download or read book Some Studies on Non strictly Hyperbolic Conservation Laws written by Tak Kwong Wong and published by . This book was released on 2005 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Hyperbolic Systems of Conservation Laws written by Alberto Bressan and published by Oxford University Press, USA. This book was released on 2000 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to the mathematical theory of hyperbolic systems of conservation laws, with particular emphasis on the study of discontinuous solutions, characterized by the appearance of shock waves. This area has experienced substantial progress in very recent years thanks to the introduction of new techniques, in particular the front tracking algorithm and the semigroup approach. These techniques provide a solution to the long standing open problems of uniqueness and stability of entropy weak solutions. This volume is the first to present a comprehensive account of these new, fundamental advances. It also includes a detailed analysis of the stability and convergence of the front tracking algorithm. A set of problems, with varying difficulty is given at the end of each chapter to verify and expand understanding of the concepts and techniques previously discussed. For researchers, this book will provide an indispensable reference to the state of the art in the field of hyperbolic systems of conservation laws.

Download or read book Hyperbolic Conservation Laws and the Compensated Compactness Method written by Yunguang Lu and published by CRC Press. This book was released on 2002-09-27 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 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 Comp

Download or read book The Existence and Decay of Solutions of a Class of Non strictly Hyperbolic Systems of Conservation Laws written by Zhuangzhi Zhang and published by . This book was released on 1997 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book One dimensional Hyperbolic Conservation Laws And Their Applications written by Jean-michel Coron and published by World Scientific. This book was released on 2019-01-08 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of lecture notes for the LIASFMA Shanghai Summer School on 'One-dimensional Hyperbolic Conservation Laws and Their Applications' which was held during August 16 to August 27, 2015 at Shanghai Jiao Tong University, Shanghai, China. This summer school is one of the activities promoted by Sino-French International Associate Laboratory in Applied Mathematics (LIASFMA in short). LIASFMA was established jointly by eight institutions in China and France in 2014, which is aimed at providing a platform for some of the leading French and Chinese mathematicians to conduct in-depth researches, extensive exchanges, and student training in the field of applied mathematics. This summer school has the privilege of being the first summer school of the newly established LIASFMA, which makes it significant.

Download or read book Hyperbolic and Viscous Conservation Laws written by Tai-Ping Liu and published by SIAM. This book was released on 2000-01-01 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth analysis of wave interactions for general systems of hyperbolic and viscous conservation laws.

Download or read book Non strictly Hyperbolic Systems of Conservation Laws Arising in Oil Recovery written by George Noel Djoufedie and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Global Solution of a Riemann Problem for a Non strictly Hyperbolic System of Conservation Laws Arising in Enhanced Oil Recovery written by Eli L. Isaacson and published by . This book was released on 1989 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Admissible Solutions of Hyperbolic Conservation Laws written by Tai-Ping Liu and published by American Mathematical Soc.. This book was released on 1981 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider a system of n conservation laws: [partial derivative/boundary/degree of a polynomial symbol]∂u [over] [partial derivative/boundary/degree of a polynomial symbol]∂t + [partial derivative/boundary/degree of a polynomial symbol]∂f(u) [over] [partial derivative/boundary/degree of a polynomial symbol]∂x = 0. The system is assumed to be strictly hyperbolic, but not necessarily genuinely nonlinear in the sense of Peter Lax (Hyperbolic systems of conservation laws, 1957). Our purpose is to study the regularity, large-time behavior and the approximation of the solution of the initial-value problem. Our analysis is based on the random choice method, using the solution of the Riemann problem, as building blocks.