Flow-plate interactions: Well-posedness and long-time behavior Public Deposited

http://ir.library.oregonstate.edu/concern/articles/1831cm75q

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  • 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.
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  • 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
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  • description.provenance : Approved for entry into archive by Erin Clark(erin.clark@oregonstate.edu) on 2014-08-05T17:53:55Z (GMT) No. of bitstreams: 1 WebsterJustinMathematicsFlow-PlateInteractions.pdf: 861749 bytes, checksum: 2b7eb7de21fb80e3cf20cf52b07394d2 (MD5)
  • description.provenance : Submitted by Erin Clark (erin.clark@oregonstate.edu) on 2014-08-05T17:53:30Z No. of bitstreams: 1 WebsterJustinMathematicsFlow-PlateInteractions.pdf: 861749 bytes, checksum: 2b7eb7de21fb80e3cf20cf52b07394d2 (MD5)
  • description.provenance : Made available in DSpace on 2014-08-05T17:53:55Z (GMT). No. of bitstreams: 1 WebsterJustinMathematicsFlow-PlateInteractions.pdf: 861749 bytes, checksum: 2b7eb7de21fb80e3cf20cf52b07394d2 (MD5) Previous issue date: 2014-10

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