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A remark on the existence of steady Navier-Stokes flows in 2D semi-infinite channel involving the general outflow condition

H. MorimotoH. Fujita — 2001

Mathematica Bohemica

We consider the steady Navier-Stokes equations in a 2-dimensional unbounded multiply connected domain Ω under the general outflow condition. Let T be a 2-dimensional straight channel × ( - 1 , 1 ) . We suppose that Ω { x 1 < 0 } is bounded and that Ω { x 1 > - 1 } = T { x 1 > - 1 } . Let V be a Poiseuille flow in T and μ the flux of V . We look for a solution which tends to V as x 1 . Assuming that the domain and the boundary data are symmetric with respect to the x 1 -axis, and that the axis intersects every component of the boundary, we have shown the existence...

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