Lectures On Navier Stokes Equations

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Lectures On Navier Stokes Equations

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Author : Tai-Peng Tsai
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-08-09

Lectures On Navier Stokes Equations written by Tai-Peng Tsai and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-09 with Mathematics categories.

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

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Author : Peter Constantin
language : en
Publisher: University of Chicago Press
Release Date : 1988

Navier Stokes Equations written by Peter Constantin and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.

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.

Inverse Problems

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Author : J. Bemelsmans
language : en
Publisher: Friedrick Vieweg & Son
Release Date : 1986-12-01

Inverse Problems written by J. Bemelsmans and has been published by Friedrick Vieweg & Son this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-12-01 with categories.

Navier Stokes Equations And Turbulence

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Author : C. Foias
language : en
Publisher: Cambridge University Press
Release Date : 2001-08-27

Navier Stokes Equations And Turbulence written by C. Foias and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-27 with Science categories.

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.

Navier Stokes Equations

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Author : Peter Constantin
language : en
Publisher: University of Chicago Press
Release Date : 2020-04-07

Navier Stokes Equations written by Peter Constantin and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-07 with Mathematics categories.

Both an original contribution and a lucid introduction to mathematical aspects of fluid mechanics, Navier-Stokes Equations provides a compact and self-contained course on these classical, nonlinear, partial differential equations, which are used to describe and analyze fluid dynamics and the flow of gases.

Lectures On Fluid Mechanics

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Author : Marvin Shinbrot
language : en
Publisher: CRC Press
Release Date : 1973

Lectures On Fluid Mechanics written by Marvin Shinbrot and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Science categories.

Navier Stokes Equations And Nonlinear Functional Analysis

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Author : Roger Temam
language : en
Publisher: SIAM
Release Date : 1995-01-01

Navier Stokes Equations And Nonlinear Functional Analysis written by Roger Temam and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Technology & Engineering categories.

This second edition attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations.

Navier Stokes Equations

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Author : Roger Temam
language : en
Publisher: American Mathematical Soc.
Release Date : 2001-04-10

Navier Stokes Equations written by Roger Temam and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-10 with Mathematics categories.

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.

Shock Dynamics

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Author : Z. Han
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Shock Dynamics written by Z. Han and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Technology & Engineering categories.

This book was written as a graduate student course--Shock Dynamics. Up to now, the first author has taught this course to the graduate students in the field of Fluid Mechanics, Department of Modern Mechanics, University of Science and Technology of China for seven times. In the spring semester 1989, during his visit to the United States, the first author taught this course to the graduate students of Department of Mathemat ics, University of Colorado at Denver. At the same time, he gave a series of four lectures on Shock Dynamics to the graduate students of Department of Aerospace Engineering Sciences, University of Colorado at Boulder. In 1991, during the first author's visit to Japan, he gave some lectures on Shock Dynamics in Tohoku University, University of Tokyo and Kyushu Uni versity. The dynamic phenomena of shock waves such as propagation, diffraction, reflection, refraction and interaction of shock waves may be studied by using experimental methods, numerical calculations and theoretical analyses. Although the detailed flow patterns of phenomena of shock motion can be obtained by using experimental methods and numerical calculations of solving Euler Equation or Navier-Stokes Equation, for example, the diffractions of shock waves by wedges form various phenomena of reflection--RR, SMR, CMR and DMR, we also need to analyse the process of the formation of shock waves in various phenomena of diffraction, reflection and interaction by using theoretical methods.

An Introduction To Sobolev Spaces And Interpolation Spaces

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Author : Luc Tartar
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-26

An Introduction To Sobolev Spaces And Interpolation Spaces written by Luc Tartar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-26 with Mathematics categories.

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.