Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws, Bartecki Krzysztof
Автор: Tatsien Li; Bopeng Rao Название: Boundary Synchronization for Hyperbolic Systems ISBN: 3030328481 ISBN-13(EAN): 9783030328481 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Within this carefully presented monograph, the authors extend the universal phenomenon of synchronization from finite-dimensional dynamical systems of ordinary differential equations (ODEs) to infinite-dimensional dynamical systems of partial differential equations (PDEs). By combining synchronization with controllability, they introduce the study of synchronization to the field of control and add new perspectives to the investigation of synchronization for systems of PDEs. With a focus on synchronization for a coupled system of wave equations, the text is divided into three parts corresponding to Dirichlet, Neumann, and coupled Robin boundary controls. Each part is then subdivided into chapters detailing exact boundary synchronization and approximate boundary synchronization, respectively. The core intention is to give artificial intervention to the evolution of state variables through appropriate boundary controls for realizing the synchronization in a finite time, creating a novel viewpoint into the investigation of synchronization for systems of partial differential equations, and revealing some essentially dissimilar characteristics from systems of ordinary differential equations. Primarily aimed at researchers and graduate students of applied mathematics and applied sciences, this text will particularly appeal to those interested in applied PDEs and control theory for distributed parameter systems.
Описание: This book describes recent developments in a wide range of areas, including the modeling, analysis and control of dynamical systems, and explores related applications. The authors consider that the book is an important contribution to the state of the art in the fuzzy and dynamical systems areas.
Описание: Introduction.- Hyperbolic Systems of Balance Laws.- State-space Representation.- Transfer Function Representation.- Constant Steady-state Analysis.- Time-domain Representation.- PCA-based Approximation.- Conclusions and Future Works.
Автор: Sharma, Vishnu D. Название: Quasilinear Hyperbolic Systems, Compressible Flows, and Waves ISBN: 0367384159 ISBN-13(EAN): 9780367384159 Издательство: Taylor&Francis Рейтинг: Цена: 9798.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Filled with practical examples, Quasilinear Hyperbolic Systems, Compressible Flows, and Waves presents a self-contained discussion of quasilinear hyperbolic equations and systems with applications. It emphasizes nonlinear theory and introduces some of the most active research in the field.
After linking continuum mechanics and quasilinear partial differential equations, the book discusses the scalar conservation laws and hyperbolic systems in two independent variables. Using the method of characteristics and singular surface theory, the author then presents the evolutionary behavior of weak and mild discontinuities in a quasilinear hyperbolic system. He also explains how to apply weakly nonlinear geometrical optics in nonequilibrium and stratified gas flows and demonstrates the power, generality, and elegance of group theoretic methods for solving Euler equations of gasdynamics involving shocks. The final chapter deals with the kinematics of a shock of arbitrary strength in three dimensions.
With a focus on physical applications, this text takes readers on a journey through this fascinating area of applied mathematics. It provides the essential mathematical concepts and techniques to understand the phenomena from a theoretical standpoint and to solve a variety of physical problems.
Автор: Bastin Georges, Coron Jean-Michel Название: Stability and Boundary Stabilization of 1-D Hyperbolic Systems ISBN: 3319811851 ISBN-13(EAN): 9783319811857 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Hyperbolic Systems of Balance Laws.- Systems of Two Linear Conservation Laws.- Systems of Linear Conservation Laws.- Systems of Nonlinear Conservation Laws.- Systems of Linear Balance Laws.- Quasi-Linear Hyperbolic Systems.- Backstepping Control.- Case Study: Control of Navigable Rivers.- Appendices.- References.- Index.
Автор: Li Tatsien, Rao Bopeng Название: Boundary Synchronization for Hyperbolic Systems ISBN: 3030328511 ISBN-13(EAN): 9783030328511 Издательство: Springer Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Within this carefully presented monograph, the authors extend the universal phenomenon of synchronization from finite-dimensional dynamical systems of ordinary differential equations (ODEs) to infinite-dimensional dynamical systems of partial differential equations (PDEs).
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: 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.
Описание: The book presents a research area in geometric function theory concerned with harmonic quasiconformal mappings and hyperbolic type metrics defined on planar and multidimensional domains. The classes of quasiconformal and quasiregular mappings are well established areas of study in this field as these classes are natural and fruitful generalizations of the class of analytic functions in the planar case. The book contains many concrete examples, as well as detailed proofs and explanations of motivations behind given results, gradually bringing the reader to the forefront of current research in the area. This monograph was written for a wide readership from graduate students of mathematical analysis to researchers working in this or related areas of mathematics who want to learn the tools or work on open problems listed in various parts of the book.
Автор: Henrik Anfinsen; Ole Morten Aamo Название: Adaptive Control of Hyperbolic PDEs ISBN: 3030058786 ISBN-13(EAN): 9783030058784 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Adaptive Control of Linear Hyperbolic PDEs provides a comprehensive treatment of adaptive control of linear hyperbolic systems, using the backstepping method. It develops adaptive control strategies for different combinations of measurements and actuators, as well as for a range of different combinations of parameter uncertainty. The book treats boundary control of systems of hyperbolic partial differential equations (PDEs) with uncertain parameters. The authors develop designs for single equations, as well as any number of coupled equations. The designs are accompanied by mathematical proofs, which allow the reader to gain insight into the technical challenges associated with adaptive control of hyperbolic PDEs, and to get an overview of problems that are still open for further research. Although stabilization of unstable systems by boundary control and boundary sensing are the particular focus, state-feedback designs are also presented. The book also includes simulation examples with implementational details and graphical displays, to give readers an insight into the performance of the proposed control algorithms, as well as the computational details involved. A library of MATLAB® code supplies ready-to-use implementations of the control and estimation algorithms developed in the book, allowing readers to tailor controllers for cases of their particular interest with little effort. These implementations can be used for many different applications, including pipe flows, traffic flow, electrical power lines, and more.Adaptive Control of Linear Hyperbolic PDEs is of value to researchers and practitioners in applied mathematics, engineering and physics; it contains a rich set of adaptive control designs, including mathematical proofs and simulation demonstrations. The book is also of interest to students looking to expand their knowledge of hyperbolic PDEs.
Описание: This contributed volume collects cutting-edge research in Geographic Information Science & Technologies, Location Modeling, and Spatial Analysis of Urban and Regional Systems. The contributions emphasize methodological innovations or substantive breakthroughs on many facets of the socio-economic and environmental reality of urban and regional contexts.
Автор: Vladimir S. Lerner Название: Information Systems Analysis and Modeling ISBN: 1461370981 ISBN-13(EAN): 9781461370987 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Informational Macrodynamics (IMD) presents the unified information systemic approach with common information language for modeling, analysis and optimization of a variety of interactive processes, such as physical, biological, economical, social, and informational, including human activities.
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