Accession Number : ADA187621

Title :   Well-Posedness and Spectral Estimation for Infinite Dimensional Systems.

Descriptive Note : Final rept. 15 Sep 84-15 Sep 87,

Corporate Author : VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG DEPT OF MATHEMATICS

Personal Author(s) : Beattie, C A ; Herdman, T L

PDF Url : ADA187621

Report Date : 28 Sep 1987

Pagination or Media Count : 5

Abstract : 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.

Descriptors :   *AEROELASTICITY, *AIRFOILS, *MATHEMATICAL MODELS, CLOSURES, DIFFERENTIAL EQUATIONS, EFFICIENCY, ESTIMATES, FLUIDS, FRAMES, FUNCTIONAL ANALYSIS, INCOMPRESSIBILITY, INVISCID FLOW, NUMERICAL METHODS AND PROCEDURES, RATES, STRUCTURES, TWO DIMENSIONAL FLOW, UNSTEADY FLOW, EQUATIONS OF MOTION

Subject Categories : Aerodynamics
      Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE