Admissible Solutions Of Hyperbolic Conservation Laws
DOWNLOAD
Download Admissible Solutions Of Hyperbolic Conservation Laws PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Admissible Solutions Of Hyperbolic Conservation Laws book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Admissible Solutions Of Hyperbolic Conservation Laws
DOWNLOAD
Author : Tai-Ping Liu
language : en
Publisher: American Mathematical Soc.
Release Date : 1981
Admissible Solutions Of Hyperbolic Conservation Laws written by Tai-Ping Liu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Conservation laws categories.
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.
The Entropy Rate Admissibility Criterion For Solutions Of Hyperbolic Conservation Laws
DOWNLOAD
Author : Constantine M. Dafermos
language : en
Publisher:
Release Date : 1972
The Entropy Rate Admissibility Criterion For Solutions Of Hyperbolic Conservation Laws written by Constantine M. Dafermos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.
The following admissibility criterion for solutions of hyperbolic conservation laws is proposed: A weak solution is admissible if the total entropy decays with the highest possible rate. The equivalence of this criterion and viscosity criterion is established for the single equation and the system of equations of one dimensional nonlinear elasticity. (Author).
Hyperbolic Conservation Laws In Continuum Physics
DOWNLOAD
Author : Constantine M. Dafermos
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-16
Hyperbolic Conservation Laws In Continuum Physics written by Constantine M. Dafermos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-16 with Mathematics categories.
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
Author : C. M. Dafermos
language : en
Publisher: 清华大学出版社有限公司
Release Date : 2005
written by C. M. Dafermos and has been published by 清华大学出版社有限公司 this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Conservation laws (Physics) categories.
Admissibility Of Weak Solutions Of Multidimensional Nonlinear Systems Of Conservation Laws
DOWNLOAD
Author : Michael Sever
language : en
Publisher: Scientific Research Publishing, Inc. USA
Release Date : 2018-03-29
Admissibility Of Weak Solutions Of Multidimensional Nonlinear Systems Of Conservation Laws written by Michael Sever and has been published by Scientific Research Publishing, Inc. USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-29 with Mathematics categories.
Admissible solutions of nonlinear systems of conservation laws in arbitrary dimensions are identified as points in the range of boundedly Frechet differentiable map of boundary data into weak solutions. For Cauchy problems for scalar conservation laws or hyperbolic systems in one space dimension, admissibility so determined agrees fairly closely with familiar entropy conditions. For systems in higher dimensions, however, the set of admissible weak solutions is materially smaller than might be anticipated, computational evidence to the contrary notwithstanding. Such is provably the case for Cauchy problems for hyperbolic systems, and is strongly suggested by results obtained for reduced systems determining stationary or self-similar solutions.
Nonstrictly Hyperbolic Conservation Laws
DOWNLOAD
Author : Barbara Lee Keyfitz
language : en
Publisher: American Mathematical Soc.
Release Date : 1987
Nonstrictly Hyperbolic Conservation Laws written by Barbara Lee Keyfitz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
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.
Hyperbolic Conservation Laws In Continuum Physics
DOWNLOAD
Author : Constantine M. Dafermos
language : en
Publisher: Springer
Release Date : 2016-05-26
Hyperbolic Conservation Laws In Continuum Physics written by Constantine M. Dafermos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-26 with Mathematics categories.
OLD TEXT 4th Edition to be replaced: This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential role of continuum thermodynamics in providing motivation and direction for the development of the mathematical theory while also serving as the principal source of applications. The reader is expected to have a certain mathematical sophistication and to be familiar with (at least) the rudiments of analysis and the qualitative theory of partial differential equations, whereas prior exposure to continuum physics is not required. The target group of readers would consist of (a) experts in the mathematical theory of hyperbolic systems of conservation laws who wish to learn about the connection with classical physics; (b) specialists in continuum mechanics who may need analytical tools; (c) experts in numerical analysis who wish to learn the underlying mathematical theory; and (d) analysts and graduate students who seek introduction to the theory of hyperbolic systems of conservation laws. This new edition places increased emphasis on hyperbolic systems of balance laws with dissipative source, modeling relaxation phenomena. It also presents an account of recent developments on the Euler equations of compressible gas dynamics. Furthermore, the presentation of a number of topics in the previous edition has been revised, expanded and brought up to date, and has been enriched with new applications to elasticity and differential geometry. The bibliography, also expanded and updated, now comprises close to two thousand titles. From the reviews of the 3rd edition: "This is the third edition of the famous book by C.M. Dafermos. His masterly written book is, surely, the most complete exposition in the subject." Evgeniy Panov, Zentralblatt MATH "A monumental book encompassing all aspects of the mathematical theory of hyperbolic conservation laws, widely recognized as the "Bible" on the subject." Philippe G. LeFloch, Math. Reviews
Hyperbolic Partial Differential Equations
DOWNLOAD
Author : Peter D. Lax
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Hyperbolic Partial Differential Equations written by Peter D. Lax and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Differential equations, Hyperbolic categories.
The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, direct and inverse scattering, and the general theory of relativity. This book is an introduction to most facets of the theory and is an ideal text for a second-year graduate course on the subject. The first part deals with the basic theory: the relation of hyperbolicity to the finite propagation of signals, the concept and role of characteristic surfaces and rays, energy, and energy inequalities. The structure of solutions of equations with constant coefficients is explored with the help of the Fourier and Radon transforms. The existence of solutions of equations with variable coefficients with prescribed initial values is proved using energy inequalities. The propagation of singularities is studied with the help of progressing waves. The second part describes finite difference approximations of hyperbolic equations, presents a streamlined version of the Lax-Phillips scattering theory, and covers basic concepts and results for hyperbolic systems of conservation laws, an active research area today. Four brief appendices sketch topics that are important or amusing, such as Huygens' principle and a theory of mixed initial and boundary value problems. A fifth appendix by Cathleen Morawetz describes a nonstandard energy identity and its uses. Information for our distributors: Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.
Decay Of Solutions Of Systems Of Nonlinear Hyperbolic Conservation Laws
DOWNLOAD
Author : James Glimm
language : en
Publisher: American Mathematical Soc.
Release Date : 1970
Decay Of Solutions Of Systems Of Nonlinear Hyperbolic Conservation Laws written by James Glimm and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.
Regularity Of Solutions To Systems Of Hyperbolic Conservation Laws
DOWNLOAD
Author : Mark S. Veillette
language : en
Publisher:
Release Date : 2005
Regularity Of Solutions To Systems Of Hyperbolic Conservation Laws written by Mark S. Veillette and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Conservation laws (Mathematics) categories.
Study solutions to hyperbolic systems of conservation laws.