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Titles listExistence of stationary solutions of the Navier–Stokes equations in two dimensions in the presence of a wall
Titles listExistence of stationary solutions of the Navier–Stokes equations in two dimensions in the presence of a wall
Scientific Article
unige:36399 
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Existence of stationary solutions of the Navier–Stokes equations in two dimensions in the presence of a wall |
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| Published in | Journal of Evolution Equations. 2009, vol. 9, no. 4, p. 675-706 | |
| Abstract | We consider the problem of a body moving within an incompressible fluid at constant speed parallel to a wall, in an otherwise unbounded domain. This situation is modeled by the incompressible Navier–Stokes equations in an exterior domain in a half space, with appropriate boundary conditions on the wall, the body, and at infinity. Here we prove existence of stationary solutions for this problem for the simplified situation where the body is replaced by a source term of compact support. | |
| Keywords | Navier–Stokes equations — Stationary solutions — Fluid structure interaction. | |
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Article (Published version) (374 Kb) - Limited access to UNIGE Other version: http://link.springer.com/10.1007/s00028-009-0029-3 |
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| Citation (ISO format) | HILLAIRET, Matthieu, WITTWER, Peter. Existence of stationary solutions of the Navier–Stokes equations in two dimensions in the presence of a wall. In: Journal of Evolution Equations, 2009, vol. 9, n° 4, p. 675-706. doi: 10.1007/s00028-009-0029-3 https://archive-ouverte.unige.ch/unige:36399 |
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