Navier-Stokes equations: theory and numerical analysis

by Temam, Roger

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Title Statements

Full title :Navier-Stokes equations : theory and numerical analysis / by Roger Temam.

Edition Statements

Publication Date:2001, ©1984.

Publication Statements

Publisher(s):AMS Chelsea Pub
Place of Publication:Providence, R.I
Language:eng
Publication Date:2001, ©1984.

Notes

"Third (revised) edition"--Page xi.

Reprint. Originally published: Amsterdam : North-Holland, 1984. 3rd rev. ed.

The Physical Object

Description:xiv, 408 pages : : illustrations ; : 27 cm

Edition Identifiers

ISBN:9780821827376, 0821827375
oclc:ocm45505937
LC Classification:QA374
Dewey Decimal:532/.0527/01515353

Ch. 1. The Steady-State Stokes Equations. 1. Some function spaces. 2. Existence and uniqueness for the Stokes equations. 3. Discretization of the Stokes equations (I). 4. Discretization of Stokes equations (II). 5. Numerical algorithms. 6. The penalty method -- Ch. 2. Steady-State Navier-Stokes Equations. 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 -- Ch. 3. The Evolution Navier-Stokes Equation. 1. The linear case. 2. Compactness theorems. 3. Existence and uniqueness theorems (n [is equal to or less than] 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 -- App. I. Properties of the Curl Operator and Application to the Steady-State Navier-Stokes Equations -- App. II. Implementation o…