Description

Book Synopsis
Presents a systematic treatment of results on the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluids. Considered are the linearized stationary case, the nonlinear stationary case, and the full nonlinear time-dependent case. This title introduces the relevant mathematical tools at each stage.

Table of Contents
The steady-state Stokes equations Steady-state Navier-Stokes equations The evolution Navier-Stokes equation Appendix I: Properties of the curl operator and application to the steady-state Navier-Stokes equations Appendix II (by F. Thomasset): Implementation of non-conforming linear finite elements (Approximation APX5--Two-dimensional case) Appendix III: Some developments on Navier-Stokes equations in the second half of the 20th century Bibliography to Appendix III Comments Additional comments to the revised edition Bibliography Index.

NavierStokes Equations Theory and Numerical

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    A Hardback by Roger Temam

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      Book details

      Publisher American Mathematical Society
      Published 4/30/2001 12:00:00 AM
      ISBN-13 9780821827376
      978-0821827376
      ISBN-10 0821827375

      Description

      Book Synopsis
      Presents a systematic treatment of results on the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluids. Considered are the linearized stationary case, the nonlinear stationary case, and the full nonlinear time-dependent case. This title introduces the relevant mathematical tools at each stage.

      Table of Contents
      The steady-state Stokes equations Steady-state Navier-Stokes equations The evolution Navier-Stokes equation Appendix I: Properties of the curl operator and application to the steady-state Navier-Stokes equations Appendix II (by F. Thomasset): Implementation of non-conforming linear finite elements (Approximation APX5--Two-dimensional case) Appendix III: Some developments on Navier-Stokes equations in the second half of the 20th century Bibliography to Appendix III Comments Additional comments to the revised edition Bibliography Index.

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