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

@article{Balakrishnan2008ReductionOB,
  title={Reduction of Boundary Value Problem to Possio Integral Equation in Theoretical Aeroelasticity},
  author={A. Balakrishnan and M. Shubov},
  journal={J. Appl. Math.},
  year={2008},
  volume={2008}
}
  • A. Balakrishnan, M. Shubov
  • Published 2008
  • Mathematics, Computer Science
  • J. Appl. Math.
  • 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… CONTINUE READING
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