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Mathematical Theory Of Compressible Fluid Flow


Mathematical Theory Of Compressible Fluid Flow
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Mathematical Theory Of Compressible Fluid Flow


Mathematical Theory Of Compressible Fluid Flow
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Author : Richard Von Mises
language : en
Publisher: Courier Corporation
Release Date : 2004-01-01

Mathematical Theory Of Compressible Fluid Flow written by Richard Von Mises and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Mathematics categories.


A pioneer in the fields of statistics and probability theory, Richard von Mises (1883–1953) made notable advances in boundary-layer-flow theory and airfoil design. This text on compressible flow, unfinished upon his sudden death, was subsequently completed in accordance with his plans, and von Mises' first three chapters were augmented with a survey of the theory of steady plane flow. Suitable as a text for advanced undergraduate and graduate students — as well as a reference for professionals — Mathematical Theory of Compressible Fluid Flow examines the fundamentals of high-speed flows, with detailed considerations of general theorems, conservation equations, waves, shocks, and nonisentropic flows. In this, the final work of his distinguished career, von Mises summarizes his extensive knowledge of a central branch of fluid mechanics. Characteristically, he pays particular attention to the basics, both conceptual and mathematical. The novel concept of a specifying equation clarifies the role of thermodynamics in the mechanics of compressible fluids. The general theory of characteristics receives a remarkably complete and simple treatment, with detailed applications, and the theory of shocks as asymptotic phenomena appears within the context of rational mechanics.



Mathematical Theory Of Compressible Fluid Flow


Mathematical Theory Of Compressible Fluid Flow
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Author : Richard Von Mises
language : en
Publisher:
Release Date : 1958

Mathematical Theory Of Compressible Fluid Flow written by Richard Von Mises and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Aerodynamics categories.




Mathematical Theory Of Compressible Fluid Flow


Mathematical Theory Of Compressible Fluid Flow
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Author : Richard Von Mises
language : en
Publisher: Elsevier
Release Date : 2012-12-02

Mathematical Theory Of Compressible Fluid Flow written by Richard Von Mises and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.


Mathematical Theory of Compressible Fluid Flow covers the conceptual and mathematical aspects of theory of compressible fluid flow. This five-chapter book specifically tackles the role of thermodynamics in the mechanics of compressible fluids. This text begins with a discussion on the general theory of characteristics of compressible fluid with its application. This topic is followed by a presentation of equations delineating the role of thermodynamics in compressible fluid mechanics. The discussion then shifts to the theory of shocks as asymptotic phenomena, which is set within the context of rational mechanics. The remaining two chapters is a thorough description of the hodograph method. These chapters provide a comparison of the modern integration theories. The features, characteristics, and application of transonic flow are also explored. This book is an ideal advanced textbook for both graduate students and research workers.



Mathematical Theory Of Compressible Fluid Flow


Mathematical Theory Of Compressible Fluid Flow
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Author : r. von Mises (+and others)
language : en
Publisher:
Release Date : 1966

Mathematical Theory Of Compressible Fluid Flow written by r. von Mises (+and others) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.




Mathematical Theory Of Compressible Viscous Fluids


Mathematical Theory Of Compressible Viscous Fluids
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Author : Eduard Feireisl
language : en
Publisher: Birkhäuser
Release Date : 2016-11-25

Mathematical Theory Of Compressible Viscous Fluids written by Eduard Feireisl and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-25 with Mathematics categories.


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.



Mathematical Theory Of Compressible Fluid Flow By Richard Von Mises Completed By Hilda Geiringer And G S S Ludford


Mathematical Theory Of Compressible Fluid Flow By Richard Von Mises Completed By Hilda Geiringer And G S S Ludford
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Author : Richard Von Mises
language : en
Publisher:
Release Date : 1958

Mathematical Theory Of Compressible Fluid Flow By Richard Von Mises Completed By Hilda Geiringer And G S S Ludford written by Richard Von Mises and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Aerodynamics categories.




Singular Limits In Thermodynamics Of Viscous Fluids


Singular Limits In Thermodynamics Of Viscous Fluids
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Author : Eduard Feireisl
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-28

Singular Limits In Thermodynamics Of Viscous Fluids written by Eduard Feireisl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-28 with Science categories.


Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton's rheological law for the viscous stress and Fourier's law of heat conduction for the internal energy flux. As a summary, this book studies singular limits of weak solutions to the system governing the flow of thermally conducting compressible viscous fluids.



Notes On Mathematical Theory Of Compressible Fluid Flow


Notes On Mathematical Theory Of Compressible Fluid Flow
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Author : Richard Von Mises
language : en
Publisher:
Release Date : 1949

Notes On Mathematical Theory Of Compressible Fluid Flow written by Richard Von Mises and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949 with Aerodynamics categories.




Stochastically Forced Compressible Fluid Flows


Stochastically Forced Compressible Fluid Flows
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Author : Dominic Breit
language : en
Publisher: de Gruyter
Release Date : 2018

Stochastically Forced Compressible Fluid Flows written by Dominic Breit and has been published by de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.


This book presents a comprehensive treatment of compressible fluid flows which also include stochastic effects. Topics covered are weak and strong solutions of the compressible Navier-Stokes equations, existence, uniqueness, and well-posedeness theo



Mathematical Fluid Mechanics


Mathematical Fluid Mechanics
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Author : Jiri Neustupa
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Mathematical Fluid Mechanics written by Jiri Neustupa and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


Mathematical modeling and numerical simulation in fluid mechanics are topics of great importance both in theory and technical applications. The present book attempts to describe the current status in various areas of research. The 10 chapters, mostly survey articles, are written by internationally renowned specialists and offer a range of approaches to and views of the essential questions and problems. In particular, the theories of incompressible and compressible Navier-Stokes equations are considered, as well as stability theory and numerical methods in fluid mechanics. Although the book is primarily written for researchers in the field, it will also serve as a valuable source of information to graduate students.