Temam, Roger Navier-Stokes equations and nonlinear functional analysis. (English) Zbl 0522.35002 CBMS-NSF Regional Conference Series in Applied Mathematics 41. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-183-5). xii, 122 p. (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 295 Documents MSC: 35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations 35Q30 Navier-Stokes equations 76D05 Navier-Stokes equations for incompressible viscous fluids 35A05 General existence and uniqueness theorems (PDE) (MSC2000) 35B65 Smoothness and regularity of solutions to 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 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 Keywords:numerical solution; stability and convergence of space and time discretization scheme; evolution Navier-Stokes equations; alternate direction method; finite elements; large time approximation; Navier- Stokes equations; viscous incompressible fluids; existence; uniqueness; regularity; a priori estimates for weak solutions; Lagrangian representation of flow; Hausdorff dimension of set of singularities of a weak solution; regularity of strong solutions; analyticity solutions; long time behavior; stationary solutions; functional invariant sets; attractors; Couette-Taylor experiment; time-independent solutions; small Reynolds numbers; large Reynolds numbers PDFBibTeX XMLCite \textit{R. Temam}, Navier-Stokes equations and nonlinear functional analysis. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (1983; Zbl 0522.35002)