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Steady Navier-Stokes equations in a domain with piecewise smooth boundary. (English) Zbl 1121.76017

Summary: We are concerned with boundary value problem for steady Navier-Stokes equations in a two-dimensional bounded domain with piecewise smooth boundary. Existence and uniqueness of the solution is proved in weighted Sobolev spaces by means of Mellin transform and regularizer method.

MSC:

76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
76D05 Navier-Stokes equations for incompressible viscous fluids
35Q30 Navier-Stokes equations
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