Description
Book SynopsisPresents 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 ContentsThe 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.
