Convex Integration Applied to the Multi-Dimensional Compressible Euler Equations, Markfelder Simon
Автор: Jos? Pontes; Norberto Mangiavacchi; Gustavo R. Anj Название: An Introduction to Compressible Flows with Applications ISBN: 3030332527 ISBN-13(EAN): 9783030332525 Издательство: Springer Рейтинг: Цена: 51230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book offers a concise and practical survey of the principles governing compressible flows, along with selected applications.
It starts with derivation of the time-dependent, three-dimensional equation of compressible potential flows, and a study of weak waves, including evaluation of the sound speed in gases. The following chapter addresses quasi-one-dimensional flows, the study of normal shock waves, and flow in ducts with constant cross section subjected to friction and/or heat transfer. It also investigates the effects of friction and heat transfer in ducts with variable cross section. The chapter ends by pointing to the analogy between one-dimensional compressible flows and open channel hydraulics.
Further, the book discusses supersonic flows, including the study of oblique shock waves, and supersonic flows over corners and wedges. It also examines Riemann problems, numerical resolution of the wave equation, and of nonlinear hyperbolic problems, including propagation of strong waves. A subsequent chapter focuses on the small perturbation theory of subsonic, transonic and supersonic flows around slender bodies aligned or almost aligned to the uniform inflow. In particular, it explores subsonic and supersonic flows over a wavy wall. Lastly, an appendix with a short derivation of the Fluid Mechanics basic equations is included.
The final chapter addresses the problem of transonic flows where both subsonic and supersonic are present. Lastly, an appendix with a short derivation of the Fluid Mechanics basic equations is included.
Illustrated with several practical examples, this book is a valuable tool to understand the most fundamental mathematical principles of compressible flows. Graduate Mathematics, Physics and Engineering students as well as researchers with an interest in the aerospace sciences benefit from this work.
Автор: Pavel Plotnikov; Jan Soko?owski Название: Compressible Navier-Stokes Equations ISBN: 3034807651 ISBN-13(EAN): 9783034807654 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The first monograph on the mathematical theory of shape optimization for compressible Navier-Stokes equations, this publication offers clear explanations of cutting-edge developments in a mathematical language that will foster research in this important field.
Автор: Alain Dervieux Название: Numerical Simulation of Compressible Euler Flows ISBN: 3528076267 ISBN-13(EAN): 9783528076269 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: "Proceedings of the GAMM Workshop on the Numerical Simulation of Compressible Euler Flows, that was held at INRIA, Rocquencourt (France), on June 10-13, 1986"--Foreword.
Автор: Ockendon Hilary, Ockendon John R. Название: Waves and Compressible Flow ISBN: 149398036X ISBN-13(EAN): 9781493980369 Издательство: Springer Рейтинг: Цена: 68590.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Reviews of the first edition:"This book ... is an introduction to the theory of linear and nonlinear waves in fluids, including the theory of shock waves.
Автор: Ockendon Hilary Название: Waves and Compressible Flow ISBN: 1493933795 ISBN-13(EAN): 9781493933792 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Reviews of the first edition:"This book ... is an introduction to the theory of linear and nonlinear waves in fluids, including the theory of shock waves.
Автор: Hilary Ockendon; John R. Ockendon Название: Waves and Compressible Flow ISBN: 1441923357 ISBN-13(EAN): 9781441923356 Издательство: Springer Рейтинг: Цена: 55890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Mathematics is playing an ever more important role in the physical and biol- ical sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and tea- ing, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mat- matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Pasadena, California J.E. Marsden Providence, Rhode Island L. Sirovich College Park, Maryland S.S. Antman Contents The starred sections are self-contained and may be omitted at a ?rst reading.
Автор: Breit, Dominic, Dr. Feireisl, Eduard Hofmanova, Martina Название: Stochastically forced compressible fluid flows ISBN: 3110490501 ISBN-13(EAN): 9783110490503 Издательство: Walter de Gruyter Рейтинг: Цена: 222760.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The series is devoted to the publication of high-level monographs and specialized graduate texts which cover the whole spectrum of applied mathematics, including its numerical aspects. The focus of the series is on the interplay between mathematical and numerical analysis, and also on its applications to mathematical models in the physical and life sciences.
Автор: NarenShankar Radhakrishnan, Sathish Kumar Kumar Название: Aspects and Applications of Incompressible and Compressible Aerodynamics ISBN: 1668442302 ISBN-13(EAN): 9781668442302 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 260570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Discusses all aspects of aerodynamics from the very basic to the advanced level. For researchers, this book contributes significantly to open new horizons for future research directions by providing several new references.
Автор: V?t Dolej??; Miloslav Feistauer Название: Discontinuous Galerkin Method ISBN: 3319371231 ISBN-13(EAN): 9783319371238 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations.
Автор: Feireisl Eduard, Lukбčovб-Medviďovб Mбria, Mizerovб Hana Название: Numerical Analysis of Compressible Fluid Flows ISBN: 303073787X ISBN-13(EAN): 9783030737870 Издательство: Springer Рейтинг: Цена: 149060.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The text is aimed at graduate students in mathematics and fluid dynamics, researchers in applied mathematics, numerical analysis and scientific computing, and engineers and physicists.The book contains original theoretical material based on a new approach to generalized solutions (dissipative or measure-valued solutions).
Автор: Feireisl Название: Mathematical Theory of Compressible Viscous Fluids ISBN: 331944834X ISBN-13(EAN): 9783319448343 Издательство: Springer Рейтинг: Цена: 71730.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical applications. Accordingly, we introduce the principal theoretical tools needed to handle well-posedness of the underlying Navier-Stokes system, study the problems of sequential stability, and, lastly, construct solutions by means of an implicit numerical scheme. Offering a unique contribution – by exploring in detail the “synergy” of analytical and numerical methods – the book offers a valuable resource for graduate students in mathematics and researchers working in mathematical fluid mechanics. Mathematical fluid mechanics concerns problems that are closely connected to real-world applications and is also an important part of the theory of partial differential equations and numerical analysis in general. This book highlights the fact that numerical and mathematical analysis are not two separate fields of mathematics. It will help graduate students and researchers to not only better understand problems in mathematical compressible fluid mechanics but also to learn something from the field of mathematical and numerical analysis and to see the connections between the two worlds. Potential readers should possess a good command of the basic tools of functional analysis and partial differential equations including the function spaces of Sobolev type.
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