Abstract
This paper is concerned with the stationary problem of the Stokes equation in an infinite layer and provides a condition on the external force sufficient for the existence of the solution. Since the Poiseuille flow is a solution to the homogeneous equation, the solution is not unique when p = ∞. It is also proved that, under some suitable conditions, solutions to the homogeneous equation are limited only to the Poiseuille flow.
| Original language | English |
|---|---|
| Pages (from-to) | 61-100 |
| Number of pages | 40 |
| Journal | Journal of Mathematical Fluid Mechanics |
| Volume | 12 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2010 Mar 1 |
Keywords
- Besov space
- Homogeneous Besov space
- Infinite layer
- Poiseuille flow
- Sobolev space
- Stationary problem
- Stokes equation
ASJC Scopus subject areas
- Mathematical Physics
- Condensed Matter Physics
- Computational Mathematics
- Applied Mathematics