Kinetic Formulation Of Conservation Laws
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Author |
: B. Perthame |
Publisher |
: Oxford University Press |
Total Pages |
: 212 |
Release |
: 2002-12-05 |
ISBN-10 |
: 0198509138 |
ISBN-13 |
: 9780198509134 |
Rating |
: 4/5 (38 Downloads) |
Synopsis Kinetic Formulation of Conservation Laws by : B. Perthame
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 |
: Seok Hwang |
Publisher |
: |
Total Pages |
: 76 |
Release |
: 2002 |
ISBN-10 |
: WISC:89085198661 |
ISBN-13 |
: |
Rating |
: 4/5 (61 Downloads) |
Synopsis Kinetic Decomposition of Approximate Solutions to Conservation Laws by : Seok Hwang
Author |
: Sebastian Noelle |
Publisher |
: |
Total Pages |
: 19 |
Release |
: 1997 |
ISBN-10 |
: OCLC:75862006 |
ISBN-13 |
: |
Rating |
: 4/5 (06 Downloads) |
Synopsis A New Convergence Proof for Finite Volume Schemes Using the Kinetic Formulation of Conservation Laws by : Sebastian Noelle
Author |
: Ling Hsiao |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 260 |
Release |
: 2000 |
ISBN-10 |
: 9780821819654 |
ISBN-13 |
: 0821819658 |
Rating |
: 4/5 (54 Downloads) |
Synopsis Some Current Topics on Nonlinear Conservation Laws by : Ling Hsiao
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 |
: Institute for Computer Applications in Science and Engineering |
Publisher |
: |
Total Pages |
: 28 |
Release |
: 1990 |
ISBN-10 |
: NASA:31769000682610 |
ISBN-13 |
: |
Rating |
: 4/5 (10 Downloads) |
Synopsis A Kinetic Equation with Kinetic Entropy Functions for Scalar Conservation Laws by : Institute for Computer Applications in Science and Engineering
Author |
: Heinrich Freistuhler |
Publisher |
: CRC Press |
Total Pages |
: 276 |
Release |
: 1998-12-30 |
ISBN-10 |
: 0849306442 |
ISBN-13 |
: 9780849306440 |
Rating |
: 4/5 (42 Downloads) |
Synopsis Analysis of Systems of Conservation Laws by : Heinrich Freistuhler
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.
Author |
: Damián H. Zanette |
Publisher |
: |
Total Pages |
: 6 |
Release |
: 1990 |
ISBN-10 |
: OCLC:551919577 |
ISBN-13 |
: |
Rating |
: 4/5 (77 Downloads) |
Synopsis Conservation Laws and Kinetic Equations by : Damián H. Zanette
Author |
: Benjamin Crowell |
Publisher |
: Light and Matter |
Total Pages |
: 170 |
Release |
: 2001 |
ISBN-10 |
: 9780970467027 |
ISBN-13 |
: 0970467028 |
Rating |
: 4/5 (27 Downloads) |
Synopsis Conservation Laws by : Benjamin Crowell
Author |
: Luigi Ambrosio |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 141 |
Release |
: 2008-02-17 |
ISBN-10 |
: 9783540767817 |
ISBN-13 |
: 3540767819 |
Rating |
: 4/5 (17 Downloads) |
Synopsis Transport Equations and Multi-D Hyperbolic Conservation Laws by : Luigi Ambrosio
The theory of nonlinear hyperbolic equations in several space dimensions has recently obtained remarkable achievements. This volume provides an up-to-date overview of the status and perspectives of two areas of research in PDEs, related to hyperbolic conservation laws. The captivating volume contains surveys of recent deep results and provides an overview of further developments and related open problems. Readers should have basic knowledge of PDE and measure theory.
Author |
: LEVEQUE |
Publisher |
: Birkhäuser |
Total Pages |
: 221 |
Release |
: 2013-11-11 |
ISBN-10 |
: 9783034851169 |
ISBN-13 |
: 3034851162 |
Rating |
: 4/5 (69 Downloads) |
Synopsis Numerical Methods for Conservation Laws by : LEVEQUE
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.