Solvability of the generalized Possio equation in 2D subsonic aeroelasticity

Details Solvability of the generalized Possio equation in 2D subsonic aeroelasticity Solvability of the generalized Possio equation in 2D subsonic aeroelasticity

2005-07-08

arxiv.org/abs/math/0507188v1

Mathematics

Analysis of PDEs

16 pages

Scientific paper

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"} - $\psi(x,0,t)=0$ 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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