On the steady motion of a coupled system solid-liquid

Josef Bemelmans, Giovanni P. Galdi, Mads Kyed

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We study the unconstrained (free) motion of an elastic solid B in a Navier-Stokes liquid L occupying the whole space outside B, under the assumption that a constant body force b is acting on B. More specifically, we are interested in the steady motion of the coupled system {B, L}, which means that there exists a frame with respect to which the relevant governing equations possess a timeindependent solution. We prove the existence of such a frame, provided some smallness restrictions are imposed on the physical parameters, and the reference configuration of B satisfies suitable geometric properties.

Original languageEnglish
Pages (from-to)1-102
Number of pages102
JournalMemoirs of the American Mathematical Society
Volume226
Issue number1060
DOIs
Publication statusPublished - 2013 Nov
Externally publishedYes

Keywords

  • Fluid-structure interaction
  • Navier-Stokes
  • Nonlinear elasticity

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'On the steady motion of a coupled system solid-liquid'. Together they form a unique fingerprint.

Cite this