Mathematical Analysis of the Navier-Stokes Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Analysis of the Navier-Stokes Equations write by Matthias Hieber. This book was released on 2020-04-28. Mathematical Analysis of the Navier-Stokes Equations available in PDF, EPUB and Kindle. This book collects together a unique set of articles dedicated to several fundamental aspects of the Navier–Stokes equations. As is well known, understanding the mathematical properties of these equations, along with their physical interpretation, constitutes one of the most challenging questions of applied mathematics. Indeed, the Navier-Stokes equations feature among the Clay Mathematics Institute's seven Millennium Prize Problems (existence of global in time, regular solutions corresponding to initial data of unrestricted magnitude). The text comprises three extensive contributions covering the following topics: (1) Operator-Valued H∞-calculus, R-boundedness, Fourier multipliers and maximal Lp-regularity theory for a large, abstract class of quasi-linear evolution problems with applications to Navier–Stokes equations and other fluid model equations; (2) Classical existence, uniqueness and regularity theorems of solutions to the Navier–Stokes initial-value problem, along with space-time partial regularity and investigation of the smoothness of the Lagrangean flow map; and (3) A complete mathematical theory of R-boundedness and maximal regularity with applications to free boundary problems for the Navier–Stokes equations with and without surface tension. Offering a general mathematical framework that could be used to study fluid problems and, more generally, a wide class of abstract evolution equations, this volume is aimed at graduate students and researchers who want to become acquainted with fundamental problems related to the Navier–Stokes equations.
Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models
Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models write by Franck Boyer. This book was released on 2012-11-06. Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models available in PDF, EPUB and Kindle. 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. .
Applied Analysis of the Navier-Stokes Equations
Applied Analysis of the Navier-Stokes Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Applied Analysis of the Navier-Stokes Equations write by Charles R. Doering. This book was released on 1995. Applied Analysis of the Navier-Stokes Equations available in PDF, EPUB and Kindle. This introductory physical and mathematical presentation of the Navier-Stokes equations focuses on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation of these issues to the physical phenomenon of turbulent fluid motion.
Navier-Stokes Equations
Navier-Stokes Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Navier-Stokes Equations write by Peter Constantin. This book was released on 1988. Navier-Stokes Equations available in PDF, EPUB and Kindle. 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.
Lectures on Navier-Stokes Equations
Lectures on Navier-Stokes Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Navier-Stokes Equations write by Tai-Peng Tsai. This book was released on 2018-08-09. Lectures on Navier-Stokes Equations available in PDF, EPUB and Kindle. 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.
