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.
Mathematical Analysis of the Navier-Stokes Equations
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. .
Handbook on Navier-Stokes Equations
Handbook 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 Handbook on Navier-Stokes Equations write by Denise Campos. This book was released on 2016-12. Handbook on Navier-Stokes Equations available in PDF, EPUB and Kindle. NavierStokes equations describe the motion of fluids; they arise from applying Newtons second law of motion to a continuous function that represents fluid flow. If we apply the assumption that stress in the fluid is the sum of a pressure term and a diffusing viscous term, which is proportional to the gradient of velocity, we arrive at a set of equations that describe viscous flow. This handbook provides new research on the theories and applied analysis of Navier-Stokes Equations.
Navier-Stokes Equations and Nonlinear Functional Analysis
Navier-Stokes Equations and Nonlinear Functional Analysis - 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 and Nonlinear Functional Analysis write by Roger Temam. This book was released on 1995-01-01. Navier-Stokes Equations and Nonlinear Functional Analysis available in PDF, EPUB and Kindle. This second edition attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations.
