Lectures on Navier-Stokes Equations

Lectures on Navier-Stokes Equations
Author :
Publisher : American Mathematical Soc.
Total Pages : 239
Release :
ISBN-10 : 9781470430962
ISBN-13 : 1470430967
Rating : 4/5 (62 Downloads)

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.


Lectures on Navier-Stokes Equations Related Books

Lectures on Navier-Stokes Equations
Language: en
Pages: 239
Authors: Tai-Peng Tsai
Categories: Mathematics
Type: BOOK - Published: 2018-08-09 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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 engine
Navier-Stokes Equations
Language: en
Pages: 201
Authors: Peter Constantin
Categories: Mathematics
Type: BOOK - Published: 2020-04-07 - Publisher: University of Chicago Press

DOWNLOAD EBOOK

Both an original contribution and a lucid introduction to mathematical aspects of fluid mechanics, Navier-Stokes Equations provides a compact and self-contained
An Introduction to Navier-Stokes Equation and Oceanography
Language: en
Pages: 256
Authors: Luc Tartar
Categories: Mathematics
Type: BOOK - Published: 2006-08-25 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This text corresponds to a graduate mathematics course taught at Carnegie Mellon University in the spring of 1999. Included are comments added to the lecture no
Navier-Stokes Equations and Turbulence
Language: en
Pages: 363
Authors: C. Foias
Categories: Science
Type: BOOK - Published: 2001-08-27 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This book presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. The mathematical
Navier-Stokes Equations
Language: en
Pages: 426
Authors: Roger Temam
Categories: Mathematics
Type: BOOK - Published: 2001-04-10 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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 t