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Reduction of Boundary Value Problem to Possio Integral Equation in Theoretical Aeroelasticity
Joint Authors
Shubov, Marianna A.
Balakrishnan, A. V.
Source
Journal of Applied Mathematics
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-06-29
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
The present paper is the first in a series of works devoted to the solvability of the 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 a wing (downwash).
In spite of the importance of the 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.
American Psychological Association (APA)
Balakrishnan, A. V.& Shubov, Marianna A.. 2008. Reduction of Boundary Value Problem to Possio Integral Equation in Theoretical Aeroelasticity. Journal of Applied Mathematics،Vol. 2008, no. 2008, pp.1-27.
https://search.emarefa.net/detail/BIM-502879
Modern Language Association (MLA)
Balakrishnan, A. V.& Shubov, Marianna A.. Reduction of Boundary Value Problem to Possio Integral Equation in Theoretical Aeroelasticity. Journal of Applied Mathematics No. 2008 (2008), pp.1-27.
https://search.emarefa.net/detail/BIM-502879
American Medical Association (AMA)
Balakrishnan, A. V.& Shubov, Marianna A.. Reduction of Boundary Value Problem to Possio Integral Equation in Theoretical Aeroelasticity. Journal of Applied Mathematics. 2008. Vol. 2008, no. 2008, pp.1-27.
https://search.emarefa.net/detail/BIM-502879
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502879