Nonlinear Conservation Laws And Applications PDF Download
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Author | : Alberto Bressan |
Publisher | : Springer Science & Business Media |
Total Pages | : 487 |
Release | : 2011-04-19 |
Genre | : Mathematics |
ISBN | : 1441995544 |
Download Nonlinear Conservation Laws and Applications Book in PDF, ePub and Kindle
This volume contains the proceedings of the Summer Program on Nonlinear Conservation Laws and Applications held at the IMA on July 13--31, 2009. Hyperbolic conservation laws is a classical subject, which has experienced vigorous growth in recent years. The present collection provides a timely survey of the state of the art in this exciting field, and a comprehensive outlook on open problems. Contributions of more theoretical nature cover the following topics: global existence and uniqueness theory of one-dimensional systems, multidimensional conservation laws in several space variables and approximations of their solutions, mathematical analysis of fluid motion, stability and dynamics of viscous shock waves, singular limits for viscous systems, basic principles in the modeling of turbulent mixing, transonic flows past an obstacle and a fluid dynamic approach for isometric embedding in geometry, models of nonlinear elasticity, the Monge problem, and transport equations with rough coefficients. In addition, there are a number of papers devoted to applications. These include: models of blood flow, self-gravitating compressible fluids, granular flow, charge transport in fluids, and the modeling and control of traffic flow on networks.
Author | : Ling Hsiao |
Publisher | : American Mathematical Soc. |
Total Pages | : 260 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 0821819658 |
Download Some Current Topics on Nonlinear Conservation Laws Book in PDF, ePub and Kindle
This volume resulted from a year-long program at the Morningside Center of Mathematics at the Academia Sinica in Beijing. It presents an overview of nonlinear conversation laws and introduces developments in this expanding field. Zhouping Xin's introductory overview of the subject is followed by lecture notes of leading experts who have made fundamental contributions to this field of research. A. Bressan's theory of $-well-posedness for entropy weak solutions to systems of nonlinear hyperbolic conversation laws in the class of viscosity solutions is one of the most important results in the past two decades; G. Chen discusses weak convergence methods and various applications to many problems; P. Degond details mathematical modelling of semi-conductor devices; B. Perthame describes the theory of asymptotic equivalence between conservation laws and singular kinetic equations; Z. Xin outlines the recent development of the vanishing viscosity problem and nonlinear stability of elementary wave-a major focus of research in the last decade; and the volume concludes with Y. Zheng's lecture on incompressible fluid dynamics. This collection of lectures represents previously unpublished expository and research results of experts in nonlinear conservation laws and is an excellent reference for researchers and advanced graduate students in the areas of nonlinear partial differential equations and nonlinear analysis. Titles in this series are co-published with International Press, Cambridge, MA.
Author | : Gui-Qiang G. Chen |
Publisher | : Springer Science & Business Media |
Total Pages | : 390 |
Release | : 2013-09-18 |
Genre | : Mathematics |
ISBN | : 3642390072 |
Download Hyperbolic Conservation Laws and Related Analysis with Applications Book in PDF, ePub and Kindle
This book presents thirteen papers, representing the most significant advances and current trends in nonlinear hyperbolic conservation laws and related analysis with applications. Topics covered include a survey on multidimensional systems of conservation laws as well as novel results on liquid crystals, conservation laws with discontinuous flux functions, and applications to sedimentation. Also included are articles on recent advances in the Euler equations and the Navier-Stokes-Fourier-Poisson system, in addition to new results on collective phenomena described by the Cucker-Smale model. The Workshop on Hyperbolic Conservation Laws and Related Analysis with Applications at the International Centre for Mathematical Sciences (Edinburgh, UK) held in Edinburgh, September 2011, produced this fine collection of original research and survey articles. Many leading mathematicians attended the event and submitted their contributions for this volume. It is addressed to researchers and graduate students interested in partial differential equations and related analysis with applications.
Author | : François Bouchut |
Publisher | : Springer Science & Business Media |
Total Pages | : 148 |
Release | : 2004-06-25 |
Genre | : Mathematics |
ISBN | : 9783764366650 |
Download Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws Book in PDF, ePub and Kindle
The schemes are analyzed regarding their nonlinear stability Recently developed entropy schemes are presented A formalism is introduced for source terms
Author | : Gui-Qiang Chen |
Publisher | : World Scientific |
Total Pages | : 401 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 9814273279 |
Download Nonlinear Conservation Laws, Fluid Systems and Related Topics Book in PDF, ePub and Kindle
This book is a collection of lecture notes on Nonlinear Conservation Laws, Fluid Systems and Related Topics delivered at 2007 Shanghai Mathematics Summer School held at Fudan University, China, by world's leading experts in the field. The volume comprises ªve chapters that cover a range of topics from mathematical theory and numerical approximation of both incompressible and compressible ªuid ªows, kinetic theory and conservation laws, to statistical theories for ªuid systems. Researchers and graduate students who want to work in this field will benefit from this essential reference as each chapter leads readers from the basics to the frontiers of the current research in these areas.
Author | : Reza Malek-Madani |
Publisher | : |
Total Pages | : 98 |
Release | : 1979 |
Genre | : |
ISBN | : |
Download Admissibility Criteria for Hyperbolic Conservation Laws with Applications to Nonlinear Elasticity Book in PDF, ePub and Kindle
Author | : LEVEQUE |
Publisher | : Birkhäuser |
Total Pages | : 221 |
Release | : 2013-11-11 |
Genre | : Science |
ISBN | : 3034851162 |
Download Numerical Methods for Conservation Laws Book in PDF, ePub and Kindle
These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. vVithout the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy.
Author | : B. Perthame |
Publisher | : Oxford University Press |
Total Pages | : 212 |
Release | : 2002-12-05 |
Genre | : Language Arts & Disciplines |
ISBN | : 9780198509134 |
Download Kinetic Formulation of Conservation Laws Book in PDF, ePub and Kindle
Written by a well-known expert in the field, the focus of this book is on an innovative mathematical and numerical theory which applies to classical models of physics such as shock waves and balance laws. The text is based on early works in common with P.L. Lions (field medalist).
Author | : Yuxi Zheng |
Publisher | : Springer Science & Business Media |
Total Pages | : 324 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461201411 |
Download Systems of Conservation Laws Book in PDF, ePub and Kindle
This work should serve as an introductory text for graduate students and researchers working in the important area of partial differential equations with a focus on problems involving conservation laws. The only requisite for the reader is a knowledge of the elementary theory of partial differential equations. Key features of this work include: * broad range of topics, from the classical treatment to recent results, dealing with solutions to 2D compressible Euler equations * good review of basic concepts (1-D Riemann problems) * concrete solutions presented, with many examples, over 100 illustrations, open problems, and numerical schemes * numerous exercises, comprehensive bibliography and index * appeal to a wide audience of applied mathematicians, graduate students, physicists, and engineers Written in a clear, accessible style, the book emphasizes more recent results that will prepare readers to meet modern challenges in the subject, that is, to carry out theoretical, numerical, and asymptotical analysis.
Author | : Heinrich Freistuhler |
Publisher | : CRC Press |
Total Pages | : 276 |
Release | : 1998-12-30 |
Genre | : Mathematics |
ISBN | : 9780849306440 |
Download Analysis of Systems of Conservation Laws Book in PDF, ePub and Kindle
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.