Von Karman plate in a gas flow: recent results and conjectures
Abstract
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 (PDE) 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.
Keywords
Cite
@article{arxiv.1509.00808,
title = {Von Karman plate in a gas flow: recent results and conjectures},
author = {Igor Chueshov and Earl H. Dowell and Irena Lasiecka and Justin T. Webster},
journal= {arXiv preprint arXiv:1509.00808},
year = {2015}
}
Comments
23 pages. arXiv admin note: text overlap with arXiv:1311.1500