Abstract:
The aim of this paper is to prove the existence of an approximate weak solution for a steady
fluid-structure interaction problem. A fictitious domain approach with penalization is used. One of the main ingredients is
an extension theorem for domains with Lipschitz boundaries. The fluid and structure domains are not necessarily double connected and the structure is not completely surrounded by the fluid.
These assumptions are more realistic for some engineering and medical applications.
Key Words: fluid-structure interaction, fictituous domain.
2010 Mathematics Subject Classification: Primary 35A01, Secondary 74F10.
