Автор: Alberto Bressan; Gui-Qiang G. Chen; Marta Lewicka; Название: Nonlinear Conservation Laws and Applications ISBN: 146142870X ISBN-13(EAN): 9781461428701 Издательство: Springer Рейтинг: Цена: 25853.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Foreword.- Preface.- Open questions in the theory of one dimensional hyperbolic conservation laws.- Multidimensional conservation laws: Overview, problems, and perspective.- Mathematical analysis of fluids in motion.- Selected topics in approximate solutions of nonlinear conservation laws.- High-resolution central schemes.- Stability and dynamics of viscous shock waves.- Mathematical aspects of a model for granular flow.- The flow associated to weakly differentiable vector fields: recent results and open problems.- Existence and uniqueness results for the continuity equation and applications to the chromatography system.- Finite energy weak solutions to the quantum hydrodynamics system.- The Monge problem in geodesic spaces.- Existence of a unique solution to a nonlinear moving-boundary problem of mixed type arising in modeling blood flow.- Transonic flows and isometric embeddings.- Well posedness and control in models based on conservation laws.-Homogenization of nonlinear partial differential equations in the context of ergodic algebras: Recent results and open problems.- Conservation laws at a node.- Nonlinear hyperbolic surface waves.- Vacuum in gas and fluid dynamics.- On radially symmetric solutions to conservation laws.- Charge transport in an incompressible fluid: New devices in computational electronics.- Localization and shear bands in high strain-rate plasticity.- Hyperbolic conservation laws on spacetimes.- Reduced theories in nonlinear elasticity.- Mathematical, physical and numerical principles essential for models of turbulent mixing.- On the Euler-Poisson equations of self-gravitating compressible fluids.- Viscous system of conservation laws: Singular limits.- A two-dimensional Riemann problem for scalar conservation laws.- Semi-hyperbolic waves in two-dimensional compressible Euler systems.- List of summer program participants.
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
Описание: This book focuses on the interplay between Eulerian and Lagrangian conservation laws for systems that admit physical motivation and originate from continuum mechanics.
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.
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