Harmonic Analysis And Wave Equations, Coron Jean-michel, Li Tatsien, Wang Wei-min
Автор: Sogge Название: Fourier Integrals in Classical Analysis ISBN: 1107120071 ISBN-13(EAN): 9781107120075 Издательство: Cambridge Academ Рейтинг: Цена: 121440.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This advanced monograph, concerned with modern treatments of central problems in harmonic analysis, explores the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis. New chapters discuss the Duistermaat-Guillemin theorem and results related to the Kakeya conjecture.
Автор: Fefferman Charles L. Название: London Mathematical Society Lecture Note Series ISBN: 1108460968 ISBN-13(EAN): 9781108460965 Издательство: Cambridge Academ Рейтинг: Цена: 80250.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume, derived from the `PDEs in Fluid Mechanics` workshop held at the University of Warwick in 2016, serves to consolidate and advance work in mathematical fluid dynamics. Consisting of surveys and original research, it will be a valuable resource for both established researchers and graduate students seeking an overview of current developments.
Автор: David Applebaum Название: Semigroups of Linear Operators: With Applications to Analysis, Probability and Physics ISBN: 1108716377 ISBN-13(EAN): 9781108716376 Издательство: Cambridge Academ Рейтинг: Цена: 40130.00 T Наличие на складе: Невозможна поставка. Описание: The theory of semigroups of operators is a topic with great intellectual beauty and wide-ranging applications. This graduate-level introduction presents the essential elements of the theory, introducing the key notions and establishing the central theorems. A mixture of applications are included and further development directions are indicated.
Автор: Raphael Danchin, Reinhard Farwig, Jiri Neustupa, Patrick Penel Название: Mathematical Analysis in Fluid Mechanics: Selected Recent Results ISBN: 1470436469 ISBN-13(EAN): 9781470436469 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 116430.00 T Наличие на складе: Невозможна поставка. Описание: Contains the proceedings of the International Conference on Vorticity, Rotation and Symmetry (IV) - Complex Fluids and the Issue of Regularity. The papers cover topics in mathematical fluid mechanics ranging from the classical regularity issue for solutions of the 3D Navier-Stokes system to compressible and non-Newtonian fluids and MHD flows.
Автор: Petyt Название: Introduction to Finite Element Vibration Analysis ISBN: 1107507359 ISBN-13(EAN): 9781107507357 Издательство: Cambridge Academ Рейтинг: Цена: 52800.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: An introduction to the mathematical basis of finite element analysis as applied to vibrating systems. Finite element analysis is a technique that is very important in modeling the response of structures to dynamic loads and is widely used in aeronautical, civil, and mechanical engineering as well as naval architecture.
Автор: Stefan Frei, B?rbel Holm, Thomas Richter, Thomas W Название: Fluid-Structure Interaction: Modeling, Adaptive Discretisations and Solvers ISBN: 3110495279 ISBN-13(EAN): 9783110495270 Издательство: Walter de Gruyter Рейтинг: Цена: 148700.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph discusses modeling, adaptive discretisation techniques and the numerical solution of fluid structure interaction. An emphasis in part I lies on innovative discretisation and advanced interface resolution techniques. The second part covers the efficient and robust numerical solution of fluid-structure interaction. In part III, recent advances in the application fields vascular flows, binary-fluid-solid interaction, and coupling to fractures in the solid part are presented. Moreover each chapter provides a comprehensive overview in the respective topics including many references to concurring state-of-the art work. ContentsPart I: Modeling and discretizationOn the implementation and benchmarking of an extended ALE method for FSI problemsThe locally adapted parametric finite element method for interface problems on triangular meshesAn accurate Eulerian approach for fluid-structure interactions Part II: SolversNumerical methods for unsteady thermal fluid structure interactionRecent development of robust monolithic fluid-structure interaction solversA monolithic FSI solver applied to the FSI 1,2,3 benchmarks Part III: ApplicationsFluid-structure interaction for vascular flows: From supercomputers to laptopsBinary-fluid–solid interaction based on the Navier–Stokes–Cahn–Hilliard EquationsCoupling fluid-structure interaction with phase-field fracture: Algorithmic details
Автор: R. Cooke; V.P. Havin; V.S. Buslaev; V.P. Havin; N. Название: Commutative Harmonic Analysis III ISBN: 3642633803 ISBN-13(EAN): 9783642633805 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Aimed at readers who have learned the principles of harmonic analysis, this book provides a variety of perspectives on this very important classical subject. The authors have written a truly outstanding book which distinguishes itself by its excellent expository style.
Автор: Shi-Hai Dong Название: Wave Equations in Higher Dimensions ISBN: 940178230X ISBN-13(EAN): 9789401782302 Издательство: Springer Рейтинг: Цена: 104480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume describes quantum wave equations in higher dimensions at an advanced level, placing all current mathematical and physical concepts and techniques at the reader`s disposal. Readers will learn about quantum wave equations in higher dimensions and their broad range of applications.
Автор: Michael D. Collins; William L. Siegmann Название: Parabolic Wave Equations with Applications ISBN: 149399932X ISBN-13(EAN): 9781493999323 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Нет в наличии. Описание: This book introduces parabolic wave equations, their key methods of numerical solution, and applications in seismology and ocean acoustics. The parabolic equation method provides an appealing combination of accuracy and efficiency for many nonseparable wave propagation problems in geophysics. While the parabolic equation method was pioneered in the 1940s by Leontovich and Fock who applied it to radio wave propagation in the atmosphere, it thrived in the 1970s due to its usefulness in seismology and ocean acoustics.
The book covers progress made following the parabolic equation’s ascendancy in geophysics. It begins with the necessary preliminaries on the elliptic wave equation and its analysis from which the parabolic wave equation is derived and introduced. Subsequently, the authors demonstrate the use of rational approximation techniques, the Pad? solution in particular, to find numerical solutions to the energy-conserving parabolic equation, three-dimensional parabolic equations, and horizontal wave equations.
The rest of the book demonstrates applications to seismology, ocean acoustics, and beyond, with coverage of elastic waves, sloping interfaces and boundaries, acousto-gravity waves, and waves in poro-elastic media. Overall, it will be of use to students and researchers in wave propagation, ocean acoustics, geophysical sciences and more.
This monograph presents numerical methods for solving transient wave equations (i.e. in time domain). More precisely, it provides an overview of continuous and discontinuous finite element methods for these equations, including their implementation in physical models, an extensive description of 2D and 3D elements with different shapes, such as prisms or pyramids, an analysis of the accuracy of the methods and the study of the Maxwell’s system and the important problem of its spurious free approximations. After recalling the classical models, i.e. acoustics, linear elastodynamics and electromagnetism and their variational formulations, the authors present a wide variety of finite elements of different shapes useful for the numerical resolution of wave equations. Then, they focus on the construction of efficient continuous and discontinuous Galerkin methods and study their accuracy by plane wave techniques and a priori error estimates. A chapter is devoted to the Maxwell’s system and the important problem of its spurious-free approximations. Treatment of unbounded domains by Absorbing Boundary Conditions (ABC) and Perfectly Matched Layers (PML) is described and analyzed in a separate chapter. The two last chapters deal with time approximation including local time-stepping and with the study of some complex models, i.e. acoustics in flow, gravity waves and vibrating thin plates. Throughout, emphasis is put on the accuracy and computational efficiency of the methods, with attention brought to their practical aspects.
This monograph also covers in details the theoretical foundations and numerical analysis of these methods. As a result, this monograph will be of interest to practitioners, researchers, engineers and graduate students involved in the numerical simulation
of waves.
Название: Asymptotic analysis in general relativity ISBN: 1316649407 ISBN-13(EAN): 9781316649404 Издательство: Cambridge Academ Рейтинг: Цена: 87650.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume compiles notes from courses given at the summer school on asymptotic analysis in general relativity, held at the Institut Fourier in Grenoble, France. It provides an up-to-date panorama of modern techniques in the asymptotic analysis of classical and quantum fields in general relativity.
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