Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Mathematics Applied To Fluid Mechanics And Stability full books in PDF, epub, and Kindle. Read online Mathematics Applied To Fluid Mechanics And Stability ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Donald A. Drew
Publisher : SIAM
ISBN 13 : 9780898712087
Total Pages : 316 pages
Book Rating : 4.7/5 (12 download)
Download or read book Mathematics Applied to Fluid Mechanics and Stability written by Donald A. Drew and published by SIAM. This book was released on 1986-01-01 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. E. Flaherty
Publisher :
ISBN 13 :
Total Pages : 295 pages
Book Rating : 4.:/5 (246 download)
Download or read book Mathematics Applied to Fluid Mechanics and Stability written by J. E. Flaherty and published by . This book was released on 1986 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. G. Drazin
Publisher : Cambridge University Press
ISBN 13 : 9780521525411
Total Pages : 630 pages
Book Rating : 4.5/5 (254 download)
Download or read book Hydrodynamic Stability written by P. G. Drazin and published by Cambridge University Press. This book was released on 2004-08-05 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hydrodynamic stability is of fundamental importance in fluid mechanics and is concerned with the problem of transition from laminar to turbulent flow. Drazin and Reid emphasise throughout the ideas involved, the physical mechanisms, the methods used, and the results obtained, and, wherever possible, relate the theory to both experimental and numerical results. A distinctive feature of the book is the large number of problems it contains. These problems not only provide exercises for students but also provide many additional results in a concise form. This new edition of this celebrated introduction differs principally by the inclusion of detailed solutions for those exercises, and by the addition of a Foreword by Professor J. W. Miles.
Author : Jose Francisco Rodrigues
Publisher : CRC Press
ISBN 13 : 1000115232
Total Pages : 280 pages
Book Rating : 4.0/5 (1 download)
Download or read book Mathematical Topics in Fluid Mechanics written by Jose Francisco Rodrigues and published by CRC Press. This book was released on 2020-10-02 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : A. J. Chorin
Publisher : Springer Science & Business Media
ISBN 13 : 1468400827
Total Pages : 213 pages
Book Rating : 4.4/5 (684 download)
Download or read book A Mathematical Introduction to Fluid Mechanics written by A. J. Chorin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 213 pages. 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.
Author : P. G. Drazin
Publisher : Cambridge University Press
ISBN 13 : 1316582876
Total Pages : 278 pages
Book Rating : 4.3/5 (165 download)
Download or read book Introduction to Hydrodynamic Stability written by P. G. Drazin and published by Cambridge University Press. This book was released on 2002-09-09 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.
Author : Herbert Amann
Publisher : Birkhäuser
ISBN 13 : 3034809395
Total Pages : 478 pages
Book Rating : 4.0/5 (348 download)
Download or read book Recent Developments of Mathematical Fluid Mechanics written by Herbert Amann and published by Birkhäuser. This book was released on 2016-03-17 with total page 478 pages. 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.
Author : Gordon E Swaters
Publisher : Routledge
ISBN 13 : 1351436961
Total Pages : 129 pages
Book Rating : 4.3/5 (514 download)
Download or read book Introduction to Hamiltonian Fluid Dynamics and Stability Theory written by Gordon E Swaters and published by Routledge. This book was released on 2019-01-22 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hamiltonian fluid dynamics and stability theory work hand-in-hand in a variety of engineering, physics, and physical science fields. Until now, however, no single reference addressed and provided background in both of these closely linked subjects. Introduction to Hamiltonian Fluid Dynamics and Stability Theory does just that-offers a comprehensive introduction to Hamiltonian fluid dynamics and describes aspects of hydrodynamic stability theory within the context of the Hamiltonian formalism. The author uses the example of the nonlinear pendulum-giving a thorough linear and nonlinear stability analysis of its equilibrium solutions-to introduce many of the ideas associated with the mathematical argument required in infinite dimensional Hamiltonian theory needed for fluid mechanics. He examines Andrews' Theorem, derives and develops the Charney-Hasegawa-Mima (CMH) equation, presents an account of the Hamiltonian structure of the Korteweg-de Vries (KdV) equation, and discusses the stability theory associated with the KdV soliton. The book's tutorial approach and plentiful exercises combine with its thorough presentations of both subjects to make Introduction to Hamiltonian Fluid Dynamics and Stability Theory an ideal reference, self-study text, and upper level course book.
Author : Tomáš Bodnár
Publisher : Springer Nature
ISBN 13 : 3031473558
Total Pages : 376 pages
Book Rating : 4.0/5 (314 download)
Download or read book Fluids Under Control written by Tomáš Bodnár and published by Springer Nature. This book was released on with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Georgescu
Publisher : Springer Science & Business Media
ISBN 13 : 9401718148
Total Pages : 306 pages
Book Rating : 4.4/5 (17 download)
Download or read book Hydrodynamic stability theory written by A. Georgescu and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The great number of varied approaches to hydrodynamic stability theory appear as a bulk of results whose classification and discussion are well-known in the literature. Several books deal with one aspect of this theory alone (e.g. the linear case, the influence of temperature and magnetic field, large classes of globally stable fluid motions etc.). The aim of this book is to provide a complete mathe matical treatment of hydrodynamic stability theory by combining the early results of engineers and applied mathematicians with the recent achievements of pure mathematicians. In order to ensure a more operational frame to this theory I have briefly outlined the main results concerning the stability of the simplest types of flow. I have attempted several definitions of the stability of fluid flows with due consideration of the connections between them. On the other hand, as the large number of initial and boundary value problems in hydrodynamic stability theory requires appropriate treat ments, most of this book is devoted to the main concepts and methods used in hydrodynamic stability theory. Open problems are expressed in both mathematical and physical terms.
Author : Jiri Neustupa
Publisher : Birkhäuser
ISBN 13 : 3034882432
Total Pages : 271 pages
Book Rating : 4.0/5 (348 download)
Download or read book Mathematical Fluid Mechanics written by Jiri Neustupa and published by Birkhäuser. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : S. Friedlander
Publisher : Gulf Professional Publishing
ISBN 13 : 008053354X
Total Pages : 627 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Mathematical Fluid Dynamics written by S. Friedlander and published by Gulf Professional Publishing. This book was released on 2003-03-27 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.
Author : Gordon E Swaters
Publisher : Routledge
ISBN 13 : 135143697X
Total Pages : 288 pages
Book Rating : 4.3/5 (514 download)
Download or read book Introduction to Hamiltonian Fluid Dynamics and Stability Theory written by Gordon E Swaters and published by Routledge. This book was released on 2019-01-22 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hamiltonian fluid dynamics and stability theory work hand-in-hand in a variety of engineering, physics, and physical science fields. Until now, however, no single reference addressed and provided background in both of these closely linked subjects. Introduction to Hamiltonian Fluid Dynamics and Stability Theory does just that-offers a comprehensive introduction to Hamiltonian fluid dynamics and describes aspects of hydrodynamic stability theory within the context of the Hamiltonian formalism. The author uses the example of the nonlinear pendulum-giving a thorough linear and nonlinear stability analysis of its equilibrium solutions-to introduce many of the ideas associated with the mathematical argument required in infinite dimensional Hamiltonian theory needed for fluid mechanics. He examines Andrews' Theorem, derives and develops the Charney-Hasegawa-Mima (CMH) equation, presents an account of the Hamiltonian structure of the Korteweg-de Vries (KdV) equation, and discusses the stability theory associated with the KdV soliton. The book's tutorial approach and plentiful exercises combine with its thorough presentations of both subjects to make Introduction to Hamiltonian Fluid Dynamics and Stability Theory an ideal reference, self-study text, and upper level course book.
Author : Din-yu Hsieh
Publisher : World Scientific
ISBN 13 : 9814501662
Total Pages : 429 pages
Book Rating : 4.8/5 (145 download)
Download or read book Wave And Stability In Fluids written by Din-yu Hsieh and published by World Scientific. This book was released on 1994-12-16 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate level textbook covers the topics of sound waves, water waves and stability problems in fluids. It also touches upon the subject of chaos which is related to stability problems. It aims to lead students in an accessible and efficient way to this important subject area in fluid mechanics and applied mathematics. The emphasis is on gaining an understanding of the essential features of the subject matter, thus often ignoring complicating details which may confuse non-experts. The topics chosen also reflect the personal bias and research activity of the authors.
Author : Adelina Georgescu
Publisher : World Scientific
ISBN 13 : 9814289574
Total Pages : 418 pages
Book Rating : 4.8/5 (142 download)
Download or read book Stability Criteria for Fluid Flows written by Adelina Georgescu and published by World Scientific. This book was released on 2010 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Mathematical models governing fluid flows stability. 1.1. General mathematical models of thermodynamics. 1.2. Classical mathematical models in thermodynamics of fluids. 1.3. Classical mathematical models in thermodynamics. 1.4. Classical perturbation models. 1.5. Generalized incompressible Navier-Stokes model -- 2. Incompressible Navier-Stokes fluid. 2.1. Back to integral setting; involvement of dynamics and bifurcation. 2.2. Stability in semidynamical systems. 2.3. Perturbations; asymptotic stability; linear stability. 2.4. Linear stability. 2.5. Prodi's linearization principle. 2.6. Estimates for the spectrum of Ã. 2.7. Universal stability criteria -- 3. Elements of calculus of variations. 3.1. Generalities. 3.2. Direct and inverse problems of calculus of variations. 3.3. Symmetrization of some matricial ordinary differential operators. 3.4. Variational principles for problems (3.3.1)-(3.3.7). 3.5. Fourier series solutions for variational problems -- 4. Variants of the energy method for non-stationary equations. 4.1. Variant based on differentiation of parameters. 4.2. Variant based on simplest symmetric part of operators. 4.3. Variants based on energy splitting -- 5. Applications to linear Bénard convections. 5.1. Magnetic Bénard convection in a partially ionized fluid. 5.2. Magnetic Bénard convection for a fully ionized fluid. 5.3. Convection in a micro-polar fluid bounded by rigid walls. 5.4. Convections governed by ode's with variable coefficients -- 6. Variational methods applied to linear stability. 6.1. Magnetic Bénard problem with Hall effect. 6.2. Lyapunov method applied to the anisotropic Bénard problem. 6.3. Stability criteria for a quasi-geostrophic forced zonal flow. 6.4. Variational principle for problem (5.3.1), (5.3.2). 6.5. Taylor-Dean problem -- 7. Applications of the direct method to linear stability. 7.1. Couette flow between two cylinders subject to a magnetic field. 7.2. Soret-Dufour driven convection. 7.3. Magnetic Soret-Dufour driven convection. 7.4. Convection in a porous medium. 7.5. Convection in the presence of a dielectrophoretic force. 7.6. Convection in an anisotropic M.H.D. thermodiffusive mixture. 7.7. Inhibition of the thermal convection by a magnetic field. 7.8. Microconvection in a binary layer subject to a strong Soret effect. 7.9. Convection in the layer between the sea bed and the permafrost.
Author : Asok Kumar Mallik
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9781842653098
Total Pages : 138 pages
Book Rating : 4.6/5 (53 download)
Download or read book Stability Problems in Applied Mechanics written by Asok Kumar Mallik and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Stability Problems in Applied Mechanics starts with the stability problems in statics. The example of buckling of columns is studed through Euler method followed by the Energy method, based on Lagrange-Dirichlet theorem. Snap buckling, instability of shape, buckling due to follower load are also discussed. Insufficiency of static analysis for instability is clearly brought out and buckling problems are revisited from the point of view of dynamics. The theory of Dynamical System and the foundations of bifurcation theory and Floquet theory are developed and used to revisit the stability problems in the light of these unified mathematical concepts. This mathematical basis is then applied to investigate the stability problems encountered in dynamics of particle, rigid and flexible bodies. Finally the emergence of length scale and pattern formation as a consequence of instability in fluid, thermal and diffusion systems are discussed through a number of real-life problems. Different notions of stability and the analysis of nonlinear states are briefly included in two appendices."--BOOK JACKET.
Author : Andrei V. Fursikov
Publisher : Springer Science & Business Media
ISBN 13 : 3034601522
Total Pages : 435 pages
Book Rating : 4.0/5 (346 download)
Download or read book New Directions in Mathematical Fluid Mechanics written by Andrei V. Fursikov and published by Springer Science & Business Media. This book was released on 2010-01-11 with total page 435 pages. 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.
