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Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models

2012-11-06 Mathematics
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Release : 2012-11-06
Genre : Mathematics
Kind : eBook
Book Rating : 753/5 ( reviews)

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Book Synopsis Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models by : Franck Boyer

Download or read book Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models written by Franck Boyer. This book was released on 2012-11-06. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equations which is the basic model for the flow of incompressible viscous fluids. Authors introduce mathematical tools so that the reader is able to use them for studying many other kinds of partial differential equations, in particular nonlinear evolution problems. The background needed are basic results in calculus, integration, and functional analysis. Some sections certainly contain more advanced topics than others. Nevertheless, the authors’ aim is that graduate or PhD students, as well as researchers who are not specialized in nonlinear analysis or in mathematical fluid mechanics, can find a detailed introduction to this subject. .

Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations and Related Models

2012-11-06 Mathematics
Download Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations and Related Models PDF Online Free

Author :
Release : 2012-11-06
Genre : Mathematics
Kind : eBook
Book Rating : 767/5 ( reviews)

GET EBOOK


Book Synopsis Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations and Related Models by : Franck Boyer

Download or read book Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations and Related Models written by Franck Boyer. This book was released on 2012-11-06. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equations which is the basic model for the flow of incompressible viscous fluids. Authors introduce mathematical tools so that the reader is able to use them for studying many other kinds of partial differential equations, in particular nonlinear evolution problems. The background needed are basic results in calculus, integration, and functional analysis. Some sections certainly contain more advanced topics than others. Nevertheless, the authors’ aim is that graduate or PhD students, as well as researchers who are not specialized in nonlinear analysis or in mathematical fluid mechanics, can find a detailed introduction to this subject. .

Mathematical Analysis of Navier-Stokes Equations and Related Models

2014-08-01 Navier-Stokes equations
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Release : 2014-08-01
Genre : Navier-Stokes equations
Kind : eBook
Book Rating : 340/5 ( reviews)

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Book Synopsis Mathematical Analysis of Navier-Stokes Equations and Related Models by : Yinghui Zhang

Download or read book Mathematical Analysis of Navier-Stokes Equations and Related Models written by Yinghui Zhang. This book was released on 2014-08-01. Available in PDF, EPUB and Kindle. Book excerpt: It is known that Navier-Stokes equations is one of the most important equations in Fluid Mechanics and gas dynamics. On May 24, 2000, the Clay Mathematics Institute of Cambridge, Massachusetts (CMI) has named Navier-Stokes equations: Existence and smoothness of Navier-Stokes equations on $R DEGREES3$ as one of seven million problems. In this book, our aim is to study existence and asymptotic behavior of the Navier-Stokes equations and related models. The closely related models such as the Navier-Stokes-Poisson equations, Navier-Stokes-Korteweg equations, Jin-Xin model and Euler equations with damping are also studied. This book consists of three parts. Part 1 is to study the existence and zero dissipation limit of one-dimensional Navier-Stokes equations of compressible, isentropic and non-isentropic gases, and Jin-Xin model. The second part is about the existence and asymptotic behavior of the higher dimensional Navier-Stokes equations, Navier-Stokes-Poisson equations and Navier-Stokes-Korteweg equations. The third part is about the existence and asymptotic behavior of the isentropic and non-isentropic Euler equations with

Navier-Stokes Equations: A Mathematical Analysis

2017-02-27 Mathematics
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Release : 2017-02-27
Genre : Mathematics
Kind : eBook
Book Rating : 851/5 ( reviews)

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Book Synopsis Navier-Stokes Equations: A Mathematical Analysis by : Giovanni P. Galdi

Download or read book Navier-Stokes Equations: A Mathematical Analysis written by Giovanni P. Galdi. This book was released on 2017-02-27. Available in PDF, EPUB and Kindle. Book excerpt: The Navier-Stokes equations - modeling the motion of viscous, incompressible Newtonian fluids - have been capturing the attention of an increasing number of mathematicians over the years and has now become one of the most intensely studied subjects in applied analysis. This project is dedicated to a complete and updated mathematical analysis of fundamental topics related to these equations. Every subject will be analyzed using different approaches. The main ideas behind them as well as their differences will also be emphasized and discussed. The book aims at being self-contained, however, it will also be supported by a vast bibliography for further reading.

Navier-Stokes Equations and Related Nonlinear Problems

2020-05-18 Mathematics
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Release : 2020-05-18
Genre : Mathematics
Kind : eBook
Book Rating : 29X/5 ( reviews)

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Book Synopsis Navier-Stokes Equations and Related Nonlinear Problems by : H. Amann

Download or read book Navier-Stokes Equations and Related Nonlinear Problems written by H. Amann. This book was released on 2020-05-18. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Navier-Stokes Equations and Related Nonlinear Problems".

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