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Solvability of the generalized Possio equation in 2D subsonic aeroelasticity

Peter L. Polyakov
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Abstract

We study solvability of the {\it generalized Possio integral equation} - a tool in analysis of a boundary value problem in 2D subsonic aeroelasticity with the Kutta-Joukowski condition - {\it "zero pressure discontinuity"} - $ψ(x,0,t)=0$ on the complement of a finite interval in the whole real line $\R$. The corresponding problem with boundary condition on finite intervals adjacent to the "chord" was considered in \cite{P}.

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Peter L. Polyakov. 2005-07-08. Solvability of the generalized Possio equation in 2D subsonic aeroelasticity. https://arxiv.org/abs/math/0507188

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