## Navier-Stokes equations. Theory and numerical analysis. 3rd (rev.) ed.(English)Zbl 0568.35002

Studies in Mathematics and its Applications, Vol. 2. Amsterdam-New York- Oxford: North-Holland. XII, 526 p. hbk: $84.50; Dfl. 220.00; pbk:$ 35.00; Dfl. 100.00 (1984).
[For the first two editions (1977 and 1979) see Zbl 0383.35057 and Zbl 0426.35003.]
This book enjoys a high esteem from the point of view of mathematical analysis as well as computational fluid dynamics. In this third revised edition the author supplemented the work by additional comments indicating recent progress in the following three directions: Existence, uniqueness and regularity of solutions; long time behavior and turbulence; Numerical approximation. The bibliography has been expanded appropriately. Compare also the author’s book ”Navier-Stokes equations and nonlinear functional analysis” [CBMS-NSF Reg. Conf. Ser. Appl. Math. 41 (1983; Zbl 0522.35002)].
Reviewer: H.Jeggle

### MSC:

 35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations 76D05 Navier-Stokes equations for incompressible viscous fluids 35Q30 Navier-Stokes equations 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems 65N99 Numerical methods for partial differential equations, boundary value problems 35B40 Asymptotic behavior of solutions to PDEs

### Citations:

Zbl 0383.35057; Zbl 0426.35003; Zbl 0522.35002