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Author | : Richard E. Meyer |
Publisher | : Courier Corporation |
Total Pages | : 194 |
Release | : 2012-03-08 |
Genre | : Science |
ISBN | : 0486138941 |
Download Introduction to Mathematical Fluid Dynamics Book in PDF, ePub and Kindle
Geared toward advanced undergraduate and graduate students in applied mathematics, engineering, and the physical sciences, this introductory text covers kinematics, momentum principle, Newtonian fluid, compressibility, and other subjects. 1971 edition.
Author | : A. J. Chorin |
Publisher | : Springer Science & Business Media |
Total Pages | : 213 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1468400827 |
Download A Mathematical Introduction to Fluid Mechanics Book in PDF, ePub and Kindle
These notes are based on a one-quarter (i. e. very short) course in fluid mechanics taught in the Department of Mathematics of the University of California, Berkeley during the Spring of 1978. The goal of the course was not to provide an exhaustive account of fluid mechanics, nor to assess the engineering value of various approxima tion procedures. The goals were: (i) to present some of the basic ideas of fluid mechanics in a mathematically attractive manner (which does not mean "fully rigorous"); (ii) to present the physical back ground and motivation for some constructions which have been used in recent mathematical and numerical work on the Navier-Stokes equations and on hyperbolic systems; (iil. ) 'to interest some of the students in this beautiful and difficult subject. The notes are divided into three chapters. The first chapter contains an elementary derivation of the equations; the concept of vorticity is introduced at an early stage. The second chapter contains a discussion of potential flow, vortex motion, and boundary layers. A construction of boundary layers using vortex sheets and random walks is presented; it is hoped that it helps to clarify the ideas. The third chapter contains an analysis of one-dimensional gas iv flow, from a mildly modern point of view. Weak solutions, Riemann problems, Glimm's scheme, and combustion waves are discussed. The style is informal and no attempt was made to hide the authors' biases and interests.
Author | : Jose Francisco Rodrigues |
Publisher | : CRC Press |
Total Pages | : 280 |
Release | : 2020-10-02 |
Genre | : Mathematics |
ISBN | : 1000115232 |
Download Mathematical Topics in Fluid Mechanics Book in PDF, ePub and Kindle
This Research Note presents several contributions and mathematical studies in fluid mechanics, namely in non-Newtonian and viscoelastic fluids and on the Navier-Stokes equations in unbounded domains. It includes review of the mathematical analysis of incompressible and compressible flows and results in magnetohydrodynamic and electrohydrodynamic stability and thermoconvective flow of Boussinesq-Stefan type. These studies, along with brief communications on a variety of related topics comprise the proceedings of a summer course held in Lisbon, Portugal in 1991. Together they provide a set of comprehensive survey and advanced introduction to problems in fluid mechanics and partial differential equations.
Author | : Jose Francisco Rodrigues |
Publisher | : CRC Press |
Total Pages | : 282 |
Release | : 2020-09-30 |
Genre | : Mathematics |
ISBN | : 1000158039 |
Download Mathematical Topics in Fluid Mechanics Book in PDF, ePub and Kindle
This Research Note presents several contributions and mathematical studies in fluid mechanics, namely in non-Newtonian and viscoelastic fluids and on the Navier-Stokes equations in unbounded domains. It includes review of the mathematical analysis of incompressible and compressible flows and results in magnetohydrodynamic and electrohydrodynamic stability and thermoconvective flow of Boussinesq-Stefan type. These studies, along with brief communications on a variety of related topics comprise the proceedings of a summer course held in Lisbon, Portugal in 1991. Together they provide a set of comprehensive survey and advanced introduction to problems in fluid mechanics and partial differential equations.
Author | : Herbert Amann |
Publisher | : Birkhäuser |
Total Pages | : 478 |
Release | : 2016-03-17 |
Genre | : Mathematics |
ISBN | : 3034809395 |
Download Recent Developments of Mathematical Fluid Mechanics Book in PDF, ePub and Kindle
The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations. In particular, we are interested in such problems as: 1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest motion and the steady state3) singularity and blow-up of weak and strong solutions4) vorticity and energy conservation5) fluid motions around the rotating axis or outside of the rotating body6) free boundary problems7) maximal regularity theorem and other abstract theorems for mathematical fluid mechanics.
Author | : Franck Boyer |
Publisher | : Springer Science & Business Media |
Total Pages | : 538 |
Release | : 2012-11-06 |
Genre | : Mathematics |
ISBN | : 1461459753 |
Download Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models Book in PDF, ePub and Kindle
The objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equations which is the basic model for the flow of incompressible viscous fluids. Authors introduce mathematical tools so that the reader is able to use them for studying many other kinds of partial differential equations, in particular nonlinear evolution problems. The background needed are basic results in calculus, integration, and functional analysis. Some sections certainly contain more advanced topics than others. Nevertheless, the authors’ aim is that graduate or PhD students, as well as researchers who are not specialized in nonlinear analysis or in mathematical fluid mechanics, can find a detailed introduction to this subject. .
Author | : James C. Robinson |
Publisher | : Cambridge University Press |
Total Pages | : 275 |
Release | : 2012-10-18 |
Genre | : Mathematics |
ISBN | : 1139577212 |
Download Mathematical Aspects of Fluid Mechanics Book in PDF, ePub and Kindle
The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier–Stokes equations feature prominently: the reader will find new results concerning feedback stabilisation, stretching and folding, and decay in norm of solutions to these fundamental equations of fluid motion. Other topics covered include new models for turbulent energy cascade, existence and uniqueness results for complex fluids and certain interesting solutions of the SQG equation. The result is an accessible collection of survey articles and more traditional research papers that will serve both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.
Author | : George Keith Batchelor |
Publisher | : |
Total Pages | : 0 |
Release | : 1993 |
Genre | : Fluid dynamics |
ISBN | : 9788185618241 |
Download An Introduction to Fluid Dynamics Book in PDF, ePub and Kindle
Author | : Peter Constantin |
Publisher | : Springer |
Total Pages | : 323 |
Release | : 2013-04-03 |
Genre | : Mathematics |
ISBN | : 3642362974 |
Download Topics in Mathematical Fluid Mechanics Book in PDF, ePub and Kindle
This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with physics and engineering. The contributions cover not only the classical Navier-Stokes equations for an incompressible Newtonian fluid, but also generalized Newtonian fluids, fluids interacting with particles and with solids, and stochastic models. The questions addressed in the lectures range from the basic problems of existence of weak and more regular solutions, the local regularity theory and analysis of potential singularities, qualitative and quantitative results about the behavior in special cases, asymptotic behavior, statistical properties and ergodicity.
Author | : Jiri Neustupa |
Publisher | : Birkhäuser |
Total Pages | : 271 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034882432 |
Download Mathematical Fluid Mechanics Book in PDF, ePub and Kindle
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.