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arxiv: math/0507188 · v1 · submitted 2005-07-08 · 🧮 math.AP

Solvability of the generalized Possio equation in 2D subsonic aeroelasticity

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keywords aeroelasticityboundaryconditionequationfinitegeneralizedpossioproblem
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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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