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}
}

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 problemâ€¦Â CONTINUE READING