Reduction of Boundary Value Problem to Possio Integral Equation in Theoretical Aeroelasticity

Academic Article


  • The present paper is the first in a series of works devoted to the solvability of the Possio singular integral equation. This equation relates the pressure distribution over a typical section of a slender wing in subsonic compressible air flow to the normal velocity of the points of a wing (downwash). In spite of the importance of the Possio equation, the question of the existence of its solution has not been settled yet. We provide a rigorous reduction of the initial boundary value problem involving a partial differential equation for the velocity potential and highly nonstandard boundary conditions to a singular integral equation, the Possio equation. The question of its solvability will be addressed in our forthcoming work.
  • Authors

  • Balakrishnan, AV
  • Shubov, Marianna
  • Status

    Publication Date

  • 2008
  • Has Subject Area

    Published In

    Digital Object Identifier (doi)

    Start Page

  • 1
  • End Page

  • 27
  • Volume

  • 2008