Existence and uniqueness of solution for fluid-plate interaction problem. Issue 4 (2nd April 2016)

• Record Type: Journal Article
• Authors: Ćurković, A.; Marušić-Paloka, E.
• Is Part Of: Applicable analysis. Volume 95:Issue 4(2016)
• Page Start: 715
• Page End: 730
• Publication Date: 2016-04-02
• Subjects: fluid-structure interaction -- existence and uniqueness of the solution -- viscous fluid -- elastic plate; 76D03 -- 74F10 -- 35Q30; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2015.1027695
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : In this paper, we study the interaction of an incompressible viscous fluid occupying two-dimensional channel with an elastic plate located on one part of fluid boundary. We assume that the deformation of the boundary is small enough and consider the fluid flow equations in the initial configuration. Non-steady Stokes equations are used to model the flow, and the pressure boundary conditions are prescribed on the channel's ends. The results on existence, uniqueness, and regularity of solution are proved.