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

Title:

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.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:28c0de7c-35d6-431b-ad48-49082d8c81c2
uuid:28c0de7c-35d6-431b-ad48-49082d8c81c2
doi:10.21136/MB.2001.134017

Subject:

stationary Navier-Stokes equations, non-vanishing outflow, 2-dimensional semi-infinite channel, and symmetry

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

457-468

Source:

Mathematica bohemica | 2001 Volume:126 | Number:2

Harvested from:

CDK

Metadata only:

false