Well-Posedness and Spectral Estimation for Infinite Dimensional Systems.

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.

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Document Details

Document Type
Technical Report
Publication Date
Sep 28, 1987
Accession Number
ADA187621

Entities

People

  • C. A. Beattie
  • T. L. Herdman

Organizations

  • Virginia Tech

Tags

DTIC Thesaurus Topics

  • Air Force
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Flow
  • Integral Transforms
  • Integrals
  • Inversion
  • Mathematical Models
  • Models
  • Nonlinear Analysis
  • Resonance
  • Resonant Frequency
  • Two Dimensional
  • Universities
  • Unsteady Flow
  • Virginia

Fields of Study

  • Mathematics
  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)