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Dynamics of Viscous Compressible Fluids

Dynamics of Viscous Compressible Fluids
Author: Eduard Feireisl
Publisher: Oxford University Press
Total Pages: 228
Release: 2004
Genre: Language Arts & Disciplines
ISBN: 9780198528388

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This text develops the ideas and concepts of the mathematical theory of viscous, compressible and heat conducting fluids. The material is by no means intended to be the last word on the subject but rather to indicate possible directions of future research.


Viscous and Compressible Fluid Dynamics

Viscous and Compressible Fluid Dynamics
Author: Michael Edward O'Neill
Publisher:
Total Pages: 408
Release: 1989
Genre: Fluid dynamics
ISBN:

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Textbooks for students of applied mathematics, engineers, and useful for meteorologists. Introduction to the theory of fluid mechanics, companion to same authors' Ideal and incompressible fluid dynamics. Some prior knowledge of ideal compressiblity is desirable. Much of the basic mathematical techniques is included. Annotation copyrighted by Book News, Inc., Portland, OR


Dynamics of Compressible Viscous Fluid

Dynamics of Compressible Viscous Fluid
Author: Aleksandr Nikolaevich Guzʹ
Publisher: Cambridge Scientific Publishers
Total Pages: 440
Release: 2009
Genre: Science
ISBN:

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A monograph applied to the theory of small vibrations of rigid and elastic bodies in compressible viscous fluid. The volume also develops the methods of analysis based on the proposed general solutions of linearized Navier-Stokes equations in vector or scalar forms. The volume provides a useful reference text for postgraduates/researchers in this area of applied engineering and mathematics.


Mathematical Theory of Compressible Viscous Fluids

Mathematical Theory of Compressible Viscous Fluids
Author: Eduard Feireisl
Publisher: Birkhäuser
Total Pages: 186
Release: 2016-11-25
Genre: Mathematics
ISBN: 3319448358

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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.


Compressible Fluid Dynamics and Shock Waves

Compressible Fluid Dynamics and Shock Waves
Author: Akihiro Sasoh
Publisher: Springer Nature
Total Pages: 278
Release: 2020-01-02
Genre: Science
ISBN: 9811505047

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This book offers comprehensive coverage of compressible flow phenomena and their applications, and is intended for undergraduate/graduate students, practicing professionals, and researchers interested in the topic. Thanks to the clear explanations provided of a wide range of basic principles, the equations and formulas presented here can be understood with only a basic grasp of mathematics. The book particularly focuses on shock waves, offering a unique approach to the derivation of shock wave relations from conservation relations in fluids together with a contact surface, slip line or surface; in addition, the thrust of a rocket engine and that of an air-breathing engine are also formulated. Furthermore, the book covers important fundamentals of various aspects of physical fluid dynamics and engineering, including one-dimensional unsteady flows, and two-dimensional flows, in which oblique shock waves and Prandtl-Meyer expansion can be observed.


Numerical Computation of Compressible and Viscous Flow

Numerical Computation of Compressible and Viscous Flow
Author: Robert William MacCormack
Publisher: AIAA Education
Total Pages: 0
Release: 2014
Genre: Technology & Engineering
ISBN: 9781624102646

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Written for those who want to calculate compressible and viscous flow past aerodynamic bodies, this book allows you to get started in programming for solving initial value problems and to understand numerical accuracy and stability, matrix algebra, finite volume formulations, and the use of flux split algorithms for solving the Euler equations.


Compressible-fluid Dynamics

Compressible-fluid Dynamics
Author: Philip A. Thompson
Publisher: McGraw-Hill Companies
Total Pages: 696
Release: 1971
Genre: Science
ISBN:

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"This book introduces the fundamentals of compressible-fluid motion, or gasdynamics."--Preface.


Theory and Applications of Viscous Fluid Flows

Theory and Applications of Viscous Fluid Flows
Author: Radyadour Kh. Zeytounian
Publisher: Springer Science & Business Media
Total Pages: 498
Release: 2013-06-29
Genre: Science
ISBN: 3662104474

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This book closes the gap between standard undergraduate texts on fluid mechanics and monographical publications devoted to specific aspects of viscous fluid flows. Each chapter serves as an introduction to a special topic that will facilitate later application by readers in their research work.


Singular Limits in Thermodynamics of Viscous Fluids

Singular Limits in Thermodynamics of Viscous Fluids
Author: Eduard Feireisl
Publisher: Birkhäuser
Total Pages: 524
Release: 2017-11-24
Genre: Mathematics
ISBN: 3319637819

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This book is about singular limits of systems of partial differential equations governing the motion of thermally conducting compressible viscous fluids. "The main aim is to provide mathematically rigorous arguments how to get from the compressible Navier-Stokes-Fourier system several less complex systems of partial differential equations used e.g. in meteorology or astrophysics. However, the book contains also a detailed introduction to the modelling in mechanics and thermodynamics of fluids from the viewpoint of continuum physics. The book is very interesting and important. It can be recommended not only to specialists in the field, but it can also be used for doctoral students and young researches who want to start to work in the mathematical theory of compressible fluids and their asymptotic limits." Milan Pokorný (zbMATH) "This book is of the highest quality from every point of view. It presents, in a unified way, recent research material of fundament al importance. It is self-contained, thanks to Chapter 3 (existence theory) and to the appendices. It is extremely well organized, and very well written. It is a landmark for researchers in mathematical fluid dynamics, especially those interested in the physical meaning of the equations and statements." Denis Serre (MathSciNet)