Hyperbolic Conservation Laws and Related Analysis with Applications, Gui-Qiang G. Chen; Helge Holden; Kenneth H. Karlse
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: 16769.00 р. 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: Dafermos Название: Hyperbolic Conservation Laws in Continuum Physics ISBN: 3662494493 ISBN-13(EAN): 9783662494493 Издательство: Springer Рейтинг: Цена: 23058.00 р. 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: Helge Holden; Nils H. Risebro Название: Front Tracking for Hyperbolic Conservation Laws ISBN: 3642627978 ISBN-13(EAN): 9783642627972 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers a detailed, rigorous, and self-contained presentation of the theory of hyperbolic conservation laws from the basic theory to the forefront of research. The text offers extensive examples, exercises with hints and answers and comprehensive appendices.
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: Luigi Ambrosio; Fabio Ancona; Gianluca Crippa; Ste Название: Transport Equations and Multi-D Hyperbolic Conservation Laws ISBN: 3540767800 ISBN-13(EAN): 9783540767800 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The theory of nonlinear hyperbolic equations in several space dimensions has obtained many achievements thanks to ideas and techniques related to the structure and fine properties of functions of bounded variation. This work gives an overview of the status and perspectives of two areas of research in PDEs, related to hyperbolic conservation laws.
Автор: Constantine M. Dafermos Название: Hyperbolic Conservation Laws in Continuum Physics ISBN: 3642242421 ISBN-13(EAN): 9783642242427 Издательство: Springer Рейтинг: Цена: 18866.00 р. 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.
This book is the second volume of proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017). It includes reviewed contributions reporting successful applications in the fields of fluid dynamics, computational geosciences, structural analysis, nuclear physics, semiconductor theory and other topics.
The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications.
The book is useful for researchers, PhD and master's level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as for engineers working in numerical modeling and simulations.
Описание: This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions.
Описание: The methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications.
Автор: Sylvie Benzoni-Gavage; Denis Serre Название: Hyperbolic Problems: Theory, Numerics, Applications ISBN: 3662501694 ISBN-13(EAN): 9783662501696 Издательство: Springer Рейтинг: Цена: 16065.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications.
Описание: The methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications.
Описание: An exposition of hyperbolic functional differential inequalities and their applications. It aims to give a presentation of developments in the following problems: functional differential inequalities generated by initial and mixed problems; existence theory of local and global solutions; and, numerical methods of lines for hyperbolic problems.
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