Abstract
This paper considers the problem of boundary feedback stabilization of an elastic body surrounding a viscous incompressible fluid described by Navier–Stokes equations in three dimensional space. The paper gives a proof of global existence of a weak solution of the closed-loop system via the Galerkin method. Due to consideration of less regular initial values of the fluid velocity, the forces induced by the fluid on the elastic body are not able to bound. Therefore, the paper handles “fluid work and fluid power” on the elastic body in stability and convergence analysis of the closed-loop system.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
