Solvability of the generalized Possio equation in 2D subsonic aeroelasticity

Peter L. Polyakov

Solvability of the generalized Possio equation in 2D subsonic aeroelasticity

Analysis of PDEs 2007-05-23 v1

Authors: Peter L. Polyakov

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

Keywords

generalized possio equation subsonic aeroelasticity kutta-joukowski condition integral equation solvability boundary value problem

Cite

@article{arxiv.math/0507188,
  title  = {Solvability of the generalized Possio equation in 2D subsonic aeroelasticity},
  author = {Peter L. Polyakov},
  journal= {arXiv preprint arXiv:math/0507188},
  year   = {2007}
}

Comments

16 pages

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