Reduction of boundary value problem to Possio integral equation in theoretical aeroelasticity
type: Item
instance of: scholarly article
title: Reduction of boundary value problem to Possio integral equation in theoretical aeroelasticity
zbMATH Open document ID: 1142.76028
DOI: 10.1155/2008/846282
author: A. V. Balakrishnan
author: Marianna A. Shubov
published in: Journal of Applied Mathematics
publication date: 2008-08-15T00:00:00Z
full work available at URL: https://eudml.org/doc/54412
review text: Summary: The present paper is the first in a series of works devoted to the solvability of 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 the wing (downwash). In spite of the importance of 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 problem involving a partial differential equation for the velocity potential and highly nonstandard boundary conditions to a singular integral equation, the Possio equation. The question of its solvability will be addressed in our forthcoming work.
Mathematics Subject Classification ID: 76G25
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 45E05
zbMATH DE Number: 5312420
zbMATH Keywords: velocity potential
zbMATH Keywords: singular integral equation
Wikidata QID: Q58645969
MaRDI profile type: Publication
OpenAlex ID: W2133956803
cites work: Asymptotic behaviour of the aeroelastic modes for an aircraft wing model in a subsonic air flow
cites work: Riesz basis property of mode shapes for aircraft wing model (subsonic case)
cites work: The Possio Integral Equation of Aeroelasticity: A Modern View
cites work: Q3229170
cites work: Studies of store-induced limit-cycle oscillations using a model with full system nonlinearities
cites work: Subsonic flutter suppression using self-straining actuators
cites work: Shear flow aerodynamics - Lifting surface theory
cites work: Variable thickness shear layer aerodynamics revisited
cites work: Aerodynamic Effects of Inviscid Parallel Shear Flows
cites work: Q5337441
cites work: Q3215519
cites work: Q3995224
cites work: Q4939494
description: scientific article; zbMATH DE number 5312420