Mathematical Aspects of Fluid Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Aspects of Fluid Mechanics write by James C. Robinson. This book was released on 2012-10-18. Mathematical Aspects of Fluid Mechanics available 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.
Introduction to Mathematical Fluid Dynamics
Introduction to Mathematical Fluid Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Mathematical Fluid Dynamics write by Richard E. Meyer. This book was released on 2012-03-08. Introduction to Mathematical Fluid Dynamics available 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.
A Mathematical Introduction to Fluid Mechanics
A Mathematical Introduction to Fluid Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Mathematical Introduction to Fluid Mechanics write by A. J. Chorin. This book was released on 2012-12-06. A Mathematical Introduction to Fluid Mechanics available 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.
New Trends and Results in Mathematical Description of Fluid Flows
New Trends and Results in Mathematical Description of Fluid Flows - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Trends and Results in Mathematical Description of Fluid Flows write by Miroslav Bulíček. This book was released on 2018-09-26. New Trends and Results in Mathematical Description of Fluid Flows available in PDF, EPUB and Kindle. The book presents recent results and new trends in the theory of fluid mechanics. Each of the four chapters focuses on a different problem in fluid flow accompanied by an overview of available older results. The chapters are extended lecture notes from the ESSAM school "Mathematical Aspects of Fluid Flows" held in Kácov (Czech Republic) in May/June 2017. The lectures were presented by Dominic Breit (Heriot-Watt University Edinburgh), Yann Brenier (École Polytechnique, Palaiseau), Pierre-Emmanuel Jabin (University of Maryland) and Christian Rohde (Universität Stuttgart), and cover various aspects of mathematical fluid mechanics – from Euler equations, compressible Navier-Stokes equations and stochastic equations in fluid mechanics to equations describing two-phase flow; from the modeling and mathematical analysis of equations to numerical methods. Although the chapters feature relatively recent results, they are presented in a form accessible to PhD students in the field of mathematical fluid mechanics.
Mathematical Theory of Compressible Fluid Flow
Mathematical Theory of Compressible Fluid Flow - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Theory of Compressible Fluid Flow write by Richard von Mises. This book was released on 2013-02-21. Mathematical Theory of Compressible Fluid Flow available in PDF, EPUB and Kindle. 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.
