Hyperbolic Conservation Laws in Continuum Physics, Dafermos Constantine M.
Автор: Dafermos Название: Hyperbolic Conservation Laws in Continuum Physics ISBN: 3662494493 ISBN-13(EAN): 9783662494493 Издательство: Springer Рейтинг: Цена: 153720.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is a masterly exposition and an encyclopedicpresentation of the theory of hyperbolic conservation laws. It illustrates theessential role of continuum thermodynamics in providing motivation anddirection for the development of the mathematical theory while also serving asthe principal source of applications. The reader is expected to have a certainmathematical sophistication and to be familiar with (at least) the rudiments ofanalysis and the qualitative theory of partial differential equations, whereasprior exposure to continuum physics is not required. The target group ofreaders would consist of (a) experts in the mathematical theory of hyperbolic systems of conservationlaws 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 mathematicaltheory; and (d) analysts and graduate students who seek introduction to the theory ofhyperbolic systems of conservation laws.This new edition places increased emphasis onhyperbolic systems of balance laws with dissipative source, modeling relaxationphenomena. It also presents an account of recent developments on the Eulerequations of compressible gas dynamics. Furthermore, the presentation of anumber of topics in the previous edition has been revised, expanded andbrought up to date, and has been enriched with new applications toelasticity and differential geometry. The bibliography, also expanded andupdated, now comprises close to two thousand titles.From the reviews of the 3rd edition:'This is the third edition of the famous book byC.M. Dafermos. His masterly written book is, surely, the most completeexposition in the subject.' Evgeniy Panov, Zentralblatt MATH'A monumental book encompassing all aspects ofthe mathematical theory of hyperbolic conservation laws, widely recognized asthe 'Bible' on the subject.' Philippe G. LeFloch, Math. Reviews
Автор: Constantine M. Dafermos Название: Hyperbolic Conservation Laws in Continuum Physics ISBN: 3642242421 ISBN-13(EAN): 9783642242427 Издательство: Springer Рейтинг: Цена: 125770.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This presentation of the theory of hyperbolic conservation laws illustrates the essential role of continuum thermodynamics in providing motivation and direction for the development of the mathematical theory.
Автор: Tai-Ping Liu Название: Hyperbolic and Viscous Conservation Laws ISBN: 0898714362 ISBN-13(EAN): 9780898714364 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 54340.00 T Наличие на складе: Невозможна поставка. Описание: An analysis of wave interactions for general systems of hyperbolic and viscous conservation laws. It explains the new wave phenomena from both a physical and a mathematical standpoint, starting with the basics of the theory for scalar conservation law and Lax`s solution of the Riemann problem.
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 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.
Автор: Gui-Qiang G. Chen; Helge Holden; Kenneth H. Karlse Название: Hyperbolic Conservation Laws and Related Analysis with Applications ISBN: 3662510987 ISBN-13(EAN): 9783662510988 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents thirteen papers, representing the most significant advances and current trends in nonlinear hyperbolic conservation laws and related analysis with applications.
Автор: Randall J. LeVeque Название: Finite Volume Methods for Hyperbolic Problems ISBN: 0521009243 ISBN-13(EAN): 9780521009249 Издательство: Cambridge Academ Рейтинг: Цена: 77090.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.
Автор: Lasiecka I., Triggiani Roberto, Lasiecka Irena Название: Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-Like Systems Over a Finite Time Horizon: Continuous and Approximation ISBN: 0521584019 ISBN-13(EAN): 9780521584012 Издательство: Cambridge Academ Рейтинг: Цена: 155230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Originally published in 2000, this is the second volume of a comprehensive treatise on the mathematical theory of deterministic control systems modeled by multi-dimensional partial differential equations (distributed parameter systems). Volume 2 presents the optimal control problem over a finite time interval for hyperbolic dynamical systems, including many fascinating results.
Автор: Coron Jean-Michel, Li Ta-Tsien, Li Yachun Название: One-Dimensional Hyperbolic Conservation Laws and Their Applications ISBN: 9813276177 ISBN-13(EAN): 9789813276178 Издательство: World Scientific Publishing Рейтинг: Цена: 137280.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 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.
Автор: Rainer Ansorge; Hester Bijl; Andreas Meister; Thom Название: Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws ISBN: 3642437745 ISBN-13(EAN): 9783642437748 Издательство: Springer Рейтинг: Цена: 241310.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book examines recent developments in the numerics of partial differential equations. It emphasizes methods of high order and applications in computational fluid dynamics.
Автор: Gui-Qiang G. Chen; Helge Holden; Kenneth H. Karlse Название: Hyperbolic Conservation Laws and Related Analysis with Applications ISBN: 3642390064 ISBN-13(EAN): 9783642390067 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents thirteen papers, representing the most significant advances and current trends in nonlinear hyperbolic conservation laws and related analysis with applications.
Автор: Andrea Donato; Francesco Oliveri Название: Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects ISBN: 3528076437 ISBN-13(EAN): 9783528076436 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Contains a collection of papers presented at a conference on nonlinear hyperbolic problems held in Taormina, Italy from 3-8 April, 1992. The papers deal with different mathematical techniques of relevant interest to current research in nonlinear wave propagation.
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