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Author : Olʹga Aleksandrovna Ladyzhenskai︠a︡
Publisher :
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.:/5 (318 download)
Download or read book The Mathematical Theory of Viscous Incompressible Flow written by Olʹga Aleksandrovna Ladyzhenskai︠a︡ and published by . This book was released on 1969 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : O. A. Ladyženskaja
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.:/5 (636 download)
Download or read book The Mathematical Theory of Viscous Incompressible Flow written by O. A. Ladyženskaja and published by . This book was released on 1963 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : O.A. Ladyzhenskaya
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (472 download)
Download or read book The Mathematical Theory of Viscous Incompressible written by O.A. Ladyzhenskaya and published by . This book was released on 1963 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ol'ga A. Ladyženskaja
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (31 download)
Download or read book The Mathematical Theory of Viscous Incompressible Flow written by Ol'ga A. Ladyženskaja and published by . This book was released on 1963 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Max D. Gunzburger
Publisher : Elsevier
ISBN 13 : 0323139825
Total Pages : 292 pages
Book Rating : 4.3/5 (231 download)
Download or read book Finite Element Methods for Viscous Incompressible Flows written by Max D. Gunzburger and published by Elsevier. This book was released on 2012-12-02 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Methods for Viscous Incompressible Flows examines mathematical aspects of finite element methods for the approximate solution of incompressible flow problems. The principal goal is to present some of the important mathematical results that are relevant to practical computations. In so doing, useful algorithms are also discussed. Although rigorous results are stated, no detailed proofs are supplied; rather, the intention is to present these results so that they can serve as a guide for the selection and, in certain respects, the implementation of algorithms.
Author : Carlo Marchioro
Publisher : Springer Science & Business Media
ISBN 13 : 1461242843
Total Pages : 295 pages
Book Rating : 4.4/5 (612 download)
Download or read book Mathematical Theory of Incompressible Nonviscous Fluids written by Carlo Marchioro and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid dynamics is an ancient science incredibly alive today. Modern technol ogy and new needs require a deeper knowledge of the behavior of real fluids, and new discoveries or steps forward pose, quite often, challenging and diffi cult new mathematical {::oblems. In this framework, a special role is played by incompressible nonviscous (sometimes called perfect) flows. This is a mathematical model consisting essentially of an evolution equation (the Euler equation) for the velocity field of fluids. Such an equation, which is nothing other than the Newton laws plus some additional structural hypo theses, was discovered by Euler in 1755, and although it is more than two centuries old, many fundamental questions concerning its solutions are still open. In particular, it is not known whether the solutions, for reasonably general initial conditions, develop singularities in a finite time, and very little is known about the long-term behavior of smooth solutions. These and other basic problems are still open, and this is one of the reasons why the mathe matical theory of perfect flows is far from being completed. Incompressible flows have been attached, by many distinguished mathe maticians, with a large variety of mathematical techniques so that, today, this field constitutes a very rich and stimulating part of applied mathematics.
Author : William Layton
Publisher : SIAM
ISBN 13 : 0898718902
Total Pages : 220 pages
Book Rating : 4.8/5 (987 download)
Download or read book Introduction to the Numerical Analysis of Incompressible Viscous Flows written by William Layton and published by SIAM. This book was released on 2008-01-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations.
Author : Hideo Kozono
Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.3/5 (91 download)
Download or read book Recent Topics on Mathematical Theory of Viscous Incompressible Fluid written by Hideo Kozono and published by . This book was released on 1998 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mirela Kohr
Publisher : WIT Press (UK)
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.F/5 ( download)
Download or read book Viscous Incompressible Flow for Low Reynolds Numbers written by Mirela Kohr and published by WIT Press (UK). This book was released on 2004 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the fundamental mathematical theory of, and reviews state-of-the-art advances in, low Reynolds number viscous incompressible flow. The authors devote much of the text to the development of boundary integral methods for slow viscous flow pointing out new and important results.
Author : Tai-Peng Tsai
Publisher : American Mathematical Soc.
ISBN 13 : 1470430967
Total Pages : 224 pages
Book Rating : 4.4/5 (74 download)
Download or read book Lectures on Navier-Stokes Equations written by Tai-Peng Tsai and published by American Mathematical Soc.. This book was released on 2018-08-09 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a graduate text on the incompressible Navier-Stokes system, which is of fundamental importance in mathematical fluid mechanics as well as in engineering applications. The goal is to give a rapid exposition on the existence, uniqueness, and regularity of its solutions, with a focus on the regularity problem. To fit into a one-year course for students who have already mastered the basics of PDE theory, many auxiliary results have been described with references but without proofs, and several topics were omitted. Most chapters end with a selection of problems for the reader. After an introduction and a careful study of weak, strong, and mild solutions, the reader is introduced to partial regularity. The coverage of boundary value problems, self-similar solutions, the uniform L3 class including the celebrated Escauriaza-Seregin-Šverák Theorem, and axisymmetric flows in later chapters are unique features of this book that are less explored in other texts. The book can serve as a textbook for a course, as a self-study source for people who already know some PDE theory and wish to learn more about Navier-Stokes equations, or as a reference for some of the important recent developments in the area.
Author : Andrew J. Majda
Publisher : Cambridge University Press
ISBN 13 : 9780521639484
Total Pages : 562 pages
Book Rating : 4.6/5 (394 download)
Download or read book Vorticity and Incompressible Flow written by Andrew J. Majda and published by Cambridge University Press. This book was released on 2002 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. While the contents center on mathematical theory, many parts of the book showcase the interaction between rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprise a modern applied mathematics graduate course on the weak solution theory for incompressible flow.
Author : James C. Robinson
Publisher : Cambridge University Press
ISBN 13 : 1107019664
Total Pages : 487 pages
Book Rating : 4.1/5 (7 download)
Download or read book The Three-Dimensional Navier-Stokes Equations written by James C. Robinson and published by Cambridge University Press. This book was released on 2016-09-07 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible treatment of the main results in the mathematical theory of the Navier-Stokes equations, primarily aimed at graduate students.
Author : J.W. Cohen
Publisher : Elsevier
ISBN 13 : 0444596240
Total Pages : 709 pages
Book Rating : 4.4/5 (445 download)
Download or read book The Single Server Queue written by J.W. Cohen and published by Elsevier. This book was released on 2012-12-02 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic work, now available in paperback, concentrates on the basic models of queueing theory. It has a dual aim: to describe relevant mathematical techniques and to analyse the single server queue and its most important variants.
Author : Radyadour Kh. Zeytounian
Publisher : Springer Science & Business Media
ISBN 13 : 3662104474
Total Pages : 498 pages
Book Rating : 4.6/5 (621 download)
Download or read book Theory and Applications of Viscous Fluid Flows written by Radyadour Kh. Zeytounian and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Eduard Feireisl
Publisher : Birkhäuser
ISBN 13 : 3319448358
Total Pages : 186 pages
Book Rating : 4.3/5 (194 download)
Download or read book Mathematical Theory of Compressible Viscous Fluids written by Eduard Feireisl and published by Birkhäuser. This book was released on 2016-11-25 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Wolfgang Arendt
Publisher : Birkhäuser
ISBN 13 : 3034879245
Total Pages : 803 pages
Book Rating : 4.0/5 (348 download)
Download or read book Nonlinear Evolution Equations and Related Topics written by Wolfgang Arendt and published by Birkhäuser. This book was released on 2012-12-06 with total page 803 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philippe Bénilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of Nonlinear Evolution Equations. Dedicated to him, Nonlinear Evolution Equations and Related Topics contains research papers written by highly distinguished mathematicians. They are all related to Philippe Benilan's work and reflect the present state of this most active field. The contributions cover a wide range of nonlinear and linear equations.
Author : Tian Ma
Publisher : American Mathematical Soc.
ISBN 13 : 0821836935
Total Pages : 248 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics written by Tian Ma and published by American Mathematical Soc.. This book was released on 2005 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a geometric theory for incompressible flow and its applications to fluid dynamics. The main objective is to study the stability and transitions of the structure of incompressible flows and its applications to fluid dynamics and geophysical fluid dynamics. The development of the theory and its applications goes well beyond its original motivation of the study of oceanic dynamics. The authors present a substantial advance in the use of geometric and topological methods to analyze and classify incompressible fluid flows. The approach introduces genuinely innovative ideas to the study of the partial differential equations of fluid dynamics. One particularly useful development is a rigorous theory for boundary layer separation of incompressible fluids. The study of incompressible flows has two major interconnected parts. The first is the development of a global geometric theory of divergence-free fields on general two-dimensional compact manifolds. The second is the study of the structure of velocity fields for two-dimensional incompressible fluid flows governed by the Navier-Stokes equations or the Euler equations. Motivated by the study of problems in geophysical fluid dynamics, the program of research in this book seeks to develop a new mathematical theory, maintaining close links to physics along the way. In return, the theory is applied to physical problems, with more problems yet to be explored. The material is suitable for researchers and advanced graduate students interested in nonlinear PDEs and fluid dynamics.
