Nonlinear Elastic Plate in a Flow of Gas: Recent Results and Conjectures


Journal Article

© 2016, Springer Science+Business Media New York. We give a survey of recent results on 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 considered. The focus of the discussion here is on the interesting mathematical aspects of physical phenomena occurring in aeroelasticity, such as flutter and divergence. This leads to a partial differential equation treatment of issues such as well-posedness of finite energy solutions, and long-time (asymptotic) behavior. The latter includes theory of asymptotic stability, convergence to equilibria, and to global attracting sets. We complete the discussion with several well known observations and conjectures based on experimental/numerical studies.

Full Text

Duke Authors

Cited Authors

  • Chueshov, I; Dowell, EH; Lasiecka, I; Webster, JT

Published Date

  • June 1, 2016

Published In

Volume / Issue

  • 73 / 3

Start / End Page

  • 475 - 500

Electronic International Standard Serial Number (EISSN)

  • 1432-0606

International Standard Serial Number (ISSN)

  • 0095-4616

Digital Object Identifier (DOI)

  • 10.1007/s00245-016-9349-1

Citation Source

  • Scopus