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Introduction to Mathematical Fluid Dynamics

2012-03-08 Science
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Release : 2012-03-08
Genre : Science
Kind : eBook
Book Rating : 941/5 ( reviews)

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Book Synopsis Introduction to Mathematical Fluid Dynamics by : Richard E. Meyer

Download or read book Introduction to Mathematical Fluid Dynamics written by Richard E. Meyer. This book was released on 2012-03-08. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Mathematical Introduction to Fluid Mechanics

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 827/5 ( reviews)

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Book Synopsis A Mathematical Introduction to Fluid Mechanics by : A. J. Chorin

Download or read book A Mathematical Introduction to Fluid Mechanics written by A. J. Chorin. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Recent Developments of Mathematical Fluid Mechanics

2016-03-17 Mathematics
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Release : 2016-03-17
Genre : Mathematics
Kind : eBook
Book Rating : 395/5 ( reviews)

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Book Synopsis Recent Developments of Mathematical Fluid Mechanics by : Herbert Amann

Download or read book Recent Developments of Mathematical Fluid Mechanics written by Herbert Amann. This book was released on 2016-03-17. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Directions in Mathematical Fluid Mechanics

2010-01-11 Science
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Release : 2010-01-11
Genre : Science
Kind : eBook
Book Rating : 522/5 ( reviews)

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Book Synopsis New Directions in Mathematical Fluid Mechanics by : Andrei V. Fursikov

Download or read book New Directions in Mathematical Fluid Mechanics written by Andrei V. Fursikov. This book was released on 2010-01-11. Available in PDF, EPUB and Kindle. Book excerpt: On November 3, 2005, Alexander Vasil’evich Kazhikhov left this world, untimely and unexpectedly. He was one of the most in?uential mathematicians in the mechanics of ?uids, and will be remembered for his outstanding results that had, and still have, a c- siderablysigni?cantin?uenceinthe?eld.Amonghis manyachievements,werecall that he was the founder of the modern mathematical theory of the Navier-Stokes equations describing one- and two-dimensional motions of a viscous, compressible and heat-conducting gas. A brief account of Professor Kazhikhov’s contributions to science is provided in the following article “Scienti?c portrait of Alexander Vasil’evich Kazhikhov”. This volume is meant to be an expression of high regard to his memory, from most of his friends and his colleagues. In particular, it collects a selection of papers that represent the latest progress in a number of new important directions of Mathematical Physics, mainly of Mathematical Fluid Mechanics. These papers are written by world renowned specialists. Most of them were friends, students or colleagues of Professor Kazhikhov, who either worked with him directly, or met him many times in o?cial scienti?c meetings, where they had the opportunity of discussing problems of common interest.

An Introduction to Theoretical Fluid Mechanics

2009-10-09 Science
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Release : 2009-10-09
Genre : Science
Kind : eBook
Book Rating : 887/5 ( reviews)

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Book Synopsis An Introduction to Theoretical Fluid Mechanics by : Stephen Childress

Download or read book An Introduction to Theoretical Fluid Mechanics written by Stephen Childress. This book was released on 2009-10-09. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an overview of classical topics in fluid dynamics, focusing on the kinematics and dynamics of incompressible inviscid and Newtonian viscous fluids, but also including some material on compressible flow. The topics are chosen to illustrate the mathematical methods of classical fluid dynamics. The book is intended to prepare the reader for more advanced topics of current research interest.

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