Record Details
Flow-plate interactions: Well-posedness and long-time behavior
ScholarsArchive at Oregon State University
| Field | Value |
|---|---|
| Title | Flow-plate interactions: Well-posedness and long-time behavior |
| Names |
Chueshov, Igor
(creator) Lasiecka, Irena (creator) Webster, Justin (creator) |
| Date Issued | 2014-10 (iso8601) |
| Note | This is the publisher’s final pdf. The published article is copyrighted by the American Institute of Mathematical Sciences and can be found at: http://aimsciences.org/journals/home.jsp?journalID=15. |
| Abstract | We consider flow-structure interactions modeled by a modified wave equation coupled at an interface with equations of nonlinear elasticity. Both subsonic and supersonic flow velocities are treated with Neumann type flow conditions, and a novel treatment of the so called Kutta-Joukowsky flow conditions are given in the subsonic case. The goal of the paper is threefold: (i) to provide an accurate review of recent results on existence, uniqueness, and stability of weak solutions, (ii) to present a construction of finite dimensional, attracting sets corresponding to the structural dynamics and discuss convergence of trajectories, and (iii) to state several open questions associated with the topic. This second task is based on a decoupling technique which reduces the analysis of the full flow-structure system to a PDE system with delay. |
| Genre | Article |
| Topic | Flow-structure interaction |
| Identifier | Chueshov, I., Lasiecka, I., & Webster, J. (2014). Flow-plate interactions: Well-posedness and long-time behavior. Discrete and Continuous Dynamical Systems - Series S, 7(5), 925-965. doi:10.3934/dcdss.2014.7.925 |
