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Scientific article
English

Existence of stationary solutions of the Navier–Stokes equations in two dimensions in the presence of a wall

Published inJournal of evolution equations, vol. 9, no. 4, p. 675-706
Publication date2009
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.
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
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ISSN of the journal1424-3199
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