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Artificial boundary conditions for incompressible viscous flows. (English) Zbl 0668.76048

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.

MSC:

76D99 Incompressible viscous fluids
35Q30 Navier-Stokes equations
35G15 Boundary value problems for linear higher-order PDEs
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