Mathematical Analysis Of The Navier Stokes Equations
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Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models
Author: Franck Boyer
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-11-06
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. .
Navier-Stokes Equations and Nonlinear Functional Analysis
This second edition attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations.
Applied Analysis of the Navier-Stokes Equations
Author: Charles R. Doering
language: en
Publisher: Cambridge University Press
Release Date: 1995
The Navier-Stokes equations are a set of nonlinear partial differential equations comprising the fundamental dynamical description of fluid motion. They are applied routinely to problems in engineering, geophysics, astrophysics, and atmospheric science. This book is an introductory physical and mathematical presentation of the Navier-Stokes equations, focusing 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. Intended for graduate students and researchers in applied mathematics and theoretical physics, results and techniques from nonlinear functional analysis are introduced as needed with an eye toward communicating the essential ideas behind the rigorous analyses.