Abstract
The Navier―Stokes problem in a plane domain with two angular outlets to infinity is provided, as usual, either with the flux condition or with the pressure drop one. For small data it is proved that there exists a solution with the decay O(|x|-1) of the velocity field as |x| → ∞ (if one of the angles is equal to or greater than π, then additional symmetry assumptions are needed). Since the nonlinear and linear terms are asymptotically of the same power, the results are based on a complete investigation of the linearized Stokes problem in weighted spaces with a detached asymptotics (the angular parts in the representations are not fixed). Bibliography: 16 titles.
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