Lectures On Navier Stokes Equations

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Lectures on Navier-Stokes Equations

Author : Tai-Peng Tsai
Publisher : American Mathematical Soc.
ISBN 13 : 1470430967
Total Pages : 239 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Lectures on Navier-Stokes Equations by : Tai-Peng Tsai

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 239 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.

Navier-Stokes Equations

Author : Peter Constantin
Publisher : University of Chicago Press
ISBN 13 : 0226115496
Total Pages : 200 pages
Book Rating : 4.2/5 (261 download)

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Book Synopsis Navier-Stokes Equations by : Peter Constantin

Download or read book Navier-Stokes Equations written by Peter Constantin and published by University of Chicago Press. This book was released on 1988 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lecture notes of graduate courses given by the authors at Indiana University (1985-86) and the University of Chicago (1986-87). Paper edition, $14.95. Annotation copyright Book News, Inc. Portland, Or.

Navier-Stokes Equations

Author : Roger Temam
Publisher : American Mathematical Soc.
ISBN 13 : 0821827375
Total Pages : 426 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Navier-Stokes Equations by : Roger Temam

Download or read book Navier-Stokes Equations written by Roger Temam and published by American Mathematical Soc.. This book was released on 2001-04-10 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1977, the book is devoted to the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluid. On the theoretical side, results related to the existence, the uniqueness, and, in some cases, the regularity of solutions are presented. On the numerical side, various approaches to the approximation of Navier-Stokes problems by discretization are considered, such as the finite dereference method, the finite element method, and the fractional steps method. The problems of stability and convergence for numerical methods are treated as completely as possible. The new material in the present book (as compared to the preceding 1984 edition) is an appendix reproducing a survey article written in 1998. This appendix touches upon a few aspects not addressed in the earlier editions, in particular a short derivation of the Navier-Stokes equations from the basic conservation principles in continuum mechanics, further historical perspectives, and indications on new developments in the area. The appendix also surveys some aspects of the related Euler equations and the compressible Navier-Stokes equations. The book is written in the style of a textbook and the author has attempted to make the treatment self-contained. It can be used as a textbook or a reference book for researchers. Prerequisites for reading the book include some familiarity with the Navier-Stokes equations and some knowledge of functional analysis and Sololev spaces.

The Navier-Stokes Equations

Author : Rodolfo Salvi
Publisher : CRC Press
ISBN 13 : 0824744896
Total Pages : 337 pages
Book Rating : 4.8/5 (247 download)

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Book Synopsis The Navier-Stokes Equations by : Rodolfo Salvi

Download or read book The Navier-Stokes Equations written by Rodolfo Salvi and published by CRC Press. This book was released on 2001-09-27 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Contains proceedings of Varenna 2000, the international conference on theory and numerical methods of the navier-Stokes equations, held in Villa Monastero in Varenna, Lecco, Italy, surveying a wide range of topics in fluid mechanics, including compressible, incompressible, and non-newtonian fluids, the free boundary problem, and hydrodynamic potential theory."

Finite Element Approximation of the Navier-Stokes Equations

Author : Vivette Girault
Publisher :
ISBN 13 : 9783662197356
Total Pages : 220 pages
Book Rating : 4.1/5 (973 download)

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Book Synopsis Finite Element Approximation of the Navier-Stokes Equations by : Vivette Girault

Download or read book Finite Element Approximation of the Navier-Stokes Equations written by Vivette Girault and published by . This book was released on 2014-09-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on Fluid Mechanics

Author : Marvin Shinbrot
Publisher : Courier Corporation
ISBN 13 : 0486267962
Total Pages : 242 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Lectures on Fluid Mechanics by : Marvin Shinbrot

Download or read book Lectures on Fluid Mechanics written by Marvin Shinbrot and published by Courier Corporation. This book was released on 2013-05-13 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: A readable and user-friendly introduction to fluid mechanics, this high-level text is geared toward advanced undergraduates and graduate students. Topics include a derivation of the equations of fluid motion from statistical mechanics, classical theory, and a portion of the modern mathematical theory of viscous, incompressible fluids, with considerable attention to the Navier-Stokes equations. 1973 edition.

Navier–Stokes Equations

Author : Grzegorz Łukaszewicz
Publisher : Springer
ISBN 13 : 331927760X
Total Pages : 395 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Navier–Stokes Equations by : Grzegorz Łukaszewicz

Download or read book Navier–Stokes Equations written by Grzegorz Łukaszewicz and published by Springer. This book was released on 2016-04-12 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the study of the Navier–Stokes equations, providing a comprehensive reference for a range of applications: from advanced undergraduate students to engineers and professional mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling. Equipped with only a basic knowledge of calculus, functional analysis, and partial differential equations, the reader is introduced to the concept and applications of the Navier–Stokes equations through a series of fully self-contained chapters. Including lively illustrations that complement and elucidate the text, and a collection of exercises at the end of each chapter, this book is an indispensable, accessible, classroom-tested tool for teaching and understanding the Navier–Stokes equations. Incompressible Navier–Stokes equations describe the dynamic motion (flow) of incompressible fluid, the unknowns being the velocity and pressure as functions of location (space) and time variables. A solution to these equations predicts the behavior of the fluid, assuming knowledge of its initial and boundary states. These equations are one of the most important models of mathematical physics: although they have been a subject of vivid research for more than 150 years, there are still many open problems due to the nature of nonlinearity present in the equations. The nonlinear convective term present in the equations leads to phenomena such as eddy flows and turbulence. In particular, the question of solution regularity for three-dimensional problem was appointed by Clay Institute as one of the Millennium Problems, the key problems in modern mathematics. The problem remains challenging and fascinating for mathematicians, and the applications of the Navier–Stokes equations range from aerodynamics (drag and lift forces), to the design of watercraft and hydroelectric power plants, to medical applications such as modeling the flow of blood in the circulatory system.

Lectures on Partial Differential Equations

Author : Sun-Yung A. Chang
Publisher :
ISBN 13 : 9781571461117
Total Pages : 238 pages
Book Rating : 4.4/5 (611 download)

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Book Synopsis Lectures on Partial Differential Equations by : Sun-Yung A. Chang

Download or read book Lectures on Partial Differential Equations written by Sun-Yung A. Chang and published by . This book was released on 2003 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on lectures held in honour of Louis Nirenberg's 75th birthday, this volume contains both research papers dealing with various problems in partial differential equations such as wave maps, the Navier-Stokes equations and Lagrangian submanifolds.

The Three-Dimensional Navier-Stokes Equations

Author : James C. Robinson
Publisher : Cambridge University Press
ISBN 13 : 1107019664
Total Pages : 487 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis The Three-Dimensional Navier-Stokes Equations by : James C. Robinson

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.

The Navier-Stokes Equations

Author : Hermann Sohr
Publisher : Springer Science & Business Media
ISBN 13 : 3034805519
Total Pages : 376 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Navier-Stokes Equations by : Hermann Sohr

Download or read book The Navier-Stokes Equations written by Hermann Sohr and published by Springer Science & Business Media. This book was released on 2012-12-13 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this monograph is to develop an elementary and se- containedapproachtothemathematicaltheoryofaviscousincompressible?uid n in a domain ? of the Euclidean spaceR , described by the equations of Navier- Stokes. The book is mainly directed to students familiar with basic functional analytic tools in Hilbert and Banach spaces. However, for readers’ convenience, in the ?rst two chapters we collect, without proof some fundamental properties of Sobolev spaces, distributions, operators, etc. Another important objective is to formulate the theory for a completely general domain ?. In particular, the theory applies to arbitrary unbounded, non-smooth domains. For this reason, in the nonlinear case, we have to restrict ourselves to space dimensions n=2,3 that are also most signi?cant from the physical point of view. For mathematical generality, we will develop the l- earized theory for all n? 2. Although the functional-analytic approach developed here is, in principle, known to specialists, its systematic treatment is not available, and even the diverseaspectsavailablearespreadoutintheliterature.However,theliterature is very wide, and I did not even try to include a full list of related papers, also because this could be confusing for the student. In this regard, I would like to apologize for not quoting all the works that, directly or indirectly, have inspired this monograph.

Fundamental Directions in Mathematical Fluid Mechanics

Author : Giovanni P. Galdi
Publisher : Birkhäuser
ISBN 13 : 3034884249
Total Pages : 300 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Fundamental Directions in Mathematical Fluid Mechanics by : Giovanni P. Galdi

Download or read book Fundamental Directions in Mathematical Fluid Mechanics written by Giovanni P. Galdi and published by Birkhäuser. This book was released on 2012-12-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. Some of the articles are mainly expository, putting together, in a unified setting, the results of recent research papers and conference lectures. Several other articles are devoted mainly to new results, but present them within a wider context and with a fuller exposition than is usual for journals. The plan to publish these articles as a book began with the lecture notes for the short courses of G.P. Galdi and R. Rannacher, given at the beginning of the International Workshop on Theoretical and Numerical Fluid Dynamics, held in Vancouver, Canada, July 27 to August 2, 1996. A renewed energy for this project came with the founding of the Journal of Mathematical Fluid Mechanics, by G.P. Galdi, J. Heywood, and R. Rannacher, in 1998. At that time it was decided that this volume should be published in association with the journal, and expanded to include articles by J. Heywood and W. Nagata, J. Heywood and M. Padula, and P. Gervasio, A. Quarteroni and F. Saleri. The original lecture notes were also revised and updated.

Partial Differential Equations

Author : Lawrence C. Evans
Publisher : American Mathematical Soc.
ISBN 13 : 0821849743
Total Pages : 778 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Partial Differential Equations by : Lawrence C. Evans

Download or read book Partial Differential Equations written by Lawrence C. Evans and published by American Mathematical Soc.. This book was released on 2010 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of the now definitive text on partial differential equations (PDE). It offers a comprehensive survey of modern techniques in the theoretical study of PDE with particular emphasis on nonlinear equations. Its wide scope and clear exposition make it a great text for a graduate course in PDE. For this edition, the author has made numerous changes, including a new chapter on nonlinear wave equations, more than 80 new exercises, several new sections, a significantly expanded bibliography. About the First Edition: I have used this book for both regular PDE and topics courses. It has a wonderful combination of insight and technical detail...Evans' book is evidence of his mastering of the field and the clarity of presentation (Luis Caffarelli, University of Texas) It is fun to teach from Evans' book. It explains many of the essential ideas and techniques of partial differential equations ...Every graduate student in analysis should read it. (David Jerison, MIT) I use Partial Differential Equations to prepare my students for their Topic exam, which is a requirement before starting working on their dissertation. The book provides an excellent account of PDE's ...I am very happy with the preparation it provides my students. (Carlos Kenig, University of Chicago) Evans' book has already attained the status of a classic. It is a clear choice for students just learning the subject, as well as for experts who wish to broaden their knowledge ...An outstanding reference for many aspects of the field. (Rafe Mazzeo, Stanford University.

SPDE in Hydrodynamics: Recent Progress and Prospects

Author : Sergio Albeverio
Publisher : Springer Science & Business Media
ISBN 13 : 3540784926
Total Pages : 183 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis SPDE in Hydrodynamics: Recent Progress and Prospects by : Sergio Albeverio

Download or read book SPDE in Hydrodynamics: Recent Progress and Prospects written by Sergio Albeverio and published by Springer Science & Business Media. This book was released on 2008-04-14 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic models of hydrodynamics. In the second course, Franco Flandoli starts from 3D Navier-Stokes equations and ends with turbulence. Finally, Yakov Sinai, in the 3rd course, describes some rigorous mathematical results for multidimensional Navier-Stokes systems and some recent results on the one-dimensional Burgers equation with random forcing.

An Introduction to Sobolev Spaces and Interpolation Spaces

Author : Luc Tartar
Publisher : Springer Science & Business Media
ISBN 13 : 3540714839
Total Pages : 219 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis An Introduction to Sobolev Spaces and Interpolation Spaces by : Luc Tartar

Download or read book An Introduction to Sobolev Spaces and Interpolation Spaces written by Luc Tartar and published by Springer Science & Business Media. This book was released on 2007-05-26 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: After publishing an introduction to the Navier–Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has now revised and polished it into a text accessible to a larger audience.

Navier-Stokes Equations and Turbulence

Author : C. Foias
Publisher : Cambridge University Press
ISBN 13 : 1139428993
Total Pages : 363 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Navier-Stokes Equations and Turbulence by : C. Foias

Download or read book Navier-Stokes Equations and Turbulence written by C. Foias and published by Cambridge University Press. This book was released on 2001-08-27 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. The mathematical technicalities are kept to a minimum within the book, enabling the language to be at a level understood by a broad audience.

The Immersed Interface Method

Author : Zhilin Li
Publisher : SIAM
ISBN 13 : 9780898717464
Total Pages : 348 pages
Book Rating : 4.7/5 (174 download)

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Book Synopsis The Immersed Interface Method by : Zhilin Li

Download or read book The Immersed Interface Method written by Zhilin Li and published by SIAM. This book was released on 2006-01-01 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the immersed interface method (IIM), a powerful numerical method for solving interface problems and problems defined on irregular domains for which analytic solutions are rarely available. This book gives a complete description of the IIM, discusses recent progress in the area, and describes numerical methods for a number of classic interface problems. It also contains many numerical examples that can be used as benchmark problems for numerical methods designed for interface problems on irregular domains.

Waves in Flows

Author : Tomáš Bodnár
Publisher : Springer Nature
ISBN 13 : 3030681440
Total Pages : 263 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Waves in Flows by : Tomáš Bodnár

Download or read book Waves in Flows written by Tomáš Bodnár and published by Springer Nature. This book was released on 2021-05-04 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores a range of recent advances in mathematical fluid mechanics, covering theoretical topics and numerical methods. Chapters are based on the lectures given at a workshop in the summer school Waves in Flows, held in Prague from August 27-31, 2018. A broad overview of cutting edge research is presented, with a focus on mathematical modeling and numerical simulations. Readers will find a thorough analysis of numerous state-of-the-art developments presented by leading experts in their respective fields. Specific topics covered include: Chemorepulsion Compressible Navier-Stokes systems Newtonian fluids Fluid-structure interactions Waves in Flows: The 2018 Prague-Sum Workshop Lectures will appeal to post-doctoral students and scientists whose work involves fluid mechanics.