## Stationary Stokes and Navier-Stokes systems on two- or three-dimensional domains with corners. I: Linearized equations.(English)Zbl 0681.35071

The author studies the regularity of solutions of the system of Stokes equations in domains with corners, e.g. exterior domains around airfoil profiles. Both two and three dimensional domains are considered. An $$H^ 2$$-regularity result, conditions implying the Fredholm property and singular functions are given.
Reviewer: G.Warnecke

### MSC:

 35Q30 Navier-Stokes equations 35D10 Regularity of generalized solutions of PDE (MSC2000) 35J25 Boundary value problems for second-order elliptic equations 76D05 Navier-Stokes equations for incompressible viscous fluids

### Keywords:

corner; edge; polyhedron; Stokes equations; Fredholm property
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