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Navier—stokes equations: theory and numerical analysis.
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9781483256856
9780444853073
Author
Temam, Roger
Title
Navier—stokes equations : theory and numerical analysis.
2nd ed.
Description
1 online resource (539 pages)
Contents
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 -- Introduction -- 1. Some function spaces -- 2. Existence and uniqueness for the Stokes equations -- 3. Discretization of the Stokes equations (I) -- 4. Discretization of the Stokes equations (II) -- 5. Numerical algorithms -- 6. The penalty method -- Chapter II. The Steady-State Navier-Stokes Equations -- Introduction -- 1. Existence and uniqueness theorems -- 2. Discrete inequalities and compactness theorems -- 3. Approximation of the stationary Navier-Stokes equations -- 4. Bifurcation theory and non-uniqueness results -- Chapter III. The Evolution Navier-Stokes Equations -- Introduction -- 1. The linear case -- 2. Compactness theorems -- 3. Existence and uniqueness theorems (n ≤ 4) -- 4. Alternate proof of existence by semi-discretization -- 5. Discretization of the Navier-Stokes equations: General stability and convergence theorems -- 6. Discretization of the Navier-Stokes equations: Application of the general results -- 7. Approximation of the Navier-Stokes equations by the Projection Method -- 8. Approximation of the Navier-Stokes equations by the artificial compressibility method -- 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.
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Lions, J. L.
Papanicolaou, G.
Rockafellar, R. T.
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Papanicolaou, G.
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Temam, Roger
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