Navier-Stokes Equations: Theory and Numerical Analysis focuses on the processes, methodologies, principles, and approaches involved in Navier-Stokes equations, computational fluid dynamics (CFD), and mathematical analysis to which CFD is grounded.

The publication first takes a look at steady-state Stokes equations and steady-state Navier-Stokes equations. Topics include bifurcation theory and non-uniqueness results, discrete inequalities and compactness theorems, existence and uniqueness theorems, discretization of Stokes equations, existence and uniqueness for the Stokes equations, and function spaces. The text then examines the evolution of Navier-Stokes equations, including linear case, compactness theorems, alternate proof of existence by semi-discretization, and discretization of the Navier-Stokes equations. The book ponders on the approximation of the Navier-Stokes equations by the projection and compressibility methods; properties of the curl operator and application to the steady-state Navier-Stokes equations; and implementation of non-conforming linear finite elements.

The publication is a valuable reference for researchers interested in the theory and numerical analysis of Navier-Stokes equations.

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Yes, you can access Navier—Stokes Equations by Roger Temam, J. L. Lions,G. Papanicolaou,R. T. Rockafellar in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher

North Holland

Year

2016

ISBN

9781483256856

Edition

Topic

Mathematics

Subtopic

Applied Mathematics

Index

Mathematics

Front Cover
Navier–Stokes Equations: Theory and Numerical Analysis
Copyright Page
Table of Contents
FOREWORD
PREFACE TO THE THIRD (REVISED) EDITION
Chapter I. The Steady-State Stokes Equations
Chapter II. The Steady-State Navier-Stokes Equations
Chapter III. The Evolution Navier-Stokes Equations
Appendix I: Properties of the curl operator and application to the steady state Navier–Stokes equations
Appendix II: Implementation of non-conforming linear finite elements
Comments
Additional comments to the revised edition
References
Subject Index