Feistauer, Miloslav Mathematical and numerical study of nonlinear problems in fluid mechanics. (English) Zbl 0633.76025 Differential equations and their applications, Equadiff. 6, Proc. 6th Int. Conf., Brno/Czech. 1985, Lect. Notes Math. 1192, 3-16 (1986). [For the entire collection see Zbl 0595.00009.] The study of flow problems in their generality is very difficult since real flows are three-dimensional, nonstationary, viscous with large Reynolds numbers, rotational, turbulent, sometimes also more-fase and in regions with a complicated geometry. Therefore, we use simplified, usually two-dimensional and non-viscous models. (The effects of viscosity are taken into account additionally on the basis of the boundary layer theory.) Here we give a survey of results obtained in the study of boundary value problems describing two-dimensional, non-viscous, stationary or quasistationary incompressible or subsonic compressible flows with the use of a stream function. Cited in 3 Documents MSC: 76D05 Navier-Stokes equations for incompressible viscous fluids 76G25 General aerodynamics and subsonic flows 35Q30 Navier-Stokes equations 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs Keywords:stream function formulation; stream function-finite element solution; subsonic compressible flows Citations:Zbl 0595.00009 × Cite Format Result Cite Review PDF Full Text: EuDML