1. A remark on the existence of steady Navier-Stokes flows in 2D semi-infinite channel involving the general outflow condition
- Creator:
- Morimoto, H. and Fujita, H.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- stationary Navier-Stokes equations, non-vanishing outflow, 2-dimensional semi-infinite channel, and symmetry
- Language:
- English
- Description:
- 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 R × (−1, 1). We suppose that Ω ∩ {x1 < 0} is bounded and that Ω ∩ {x1 > −1} = T ∩ {x1 > −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 x1 → ∞. Assuming that the domain and the boundary data are symmetric with respect to the x1-axis, and that the axis intersects every component of the boundary, we have shown the existence of solutions if the flux is small (Morimoto-Fujita [8]). Some improvement will be reported in this note. We also show certain regularity and asymptotic properties of the solutions.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public