Well-Posedness and Spectral Estimation for Infinite Dimensional Systems

摘要

We developed a mathematical model for the motions of an airfoil, with flap, in a two dimensional unsteady flow of an inviscid, incompressible fluid. We established necessary and sufficient conditions for the well-posedness for a large class of functional differential equations containing those used to model the aeroelastic system. Significant progress has been made in developing efficient numerical approaches for resolving intermediate problems. Further work has provided refined rate estimates for the closure of spectral estimates and a formulation for resonances of sparse frame structures has been developed and tested.