Halpern, Laurence; Schatzman, Michelle Artificial boundary conditions for incompressible viscous flows. (English) Zbl 0668.76048 SIAM J. Math. Anal. 20, No. 2, 308-353 (1989). Artificial boundary conditions for the linearized incompressible Navier- Stokes equations are designed by approximating the symbol of the transparent operator. The related initial boundary value problems are well posed in the same spaces as the original Cauchy problem. Furthermore, error estimates for small viscosity are proved. Cited in 1 ReviewCited in 34 Documents MSC: 76D99 Incompressible viscous fluids 35Q30 Navier-Stokes equations 35G15 Boundary value problems for linear higher-order PDEs Keywords:initial boundary value problems; Oseen approximation; Artificial boundary conditions; linearized incompressible Navier-Stokes equations; transparent operator; Cauchy problem; error estimates PDFBibTeX XMLCite \textit{L. Halpern} and \textit{M. Schatzman}, SIAM J. Math. Anal. 20, No. 2, 308--353 (1989; Zbl 0668.76048) Full Text: DOI Link