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Sep 15, 2003

Possio Integral Equation of Aeroelasticity Theory

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Publication: Journal of Aerospace Engineering
Volume 16, Issue 4

Abstract

This paper presents a new abstract function space formulation of the subsonic small disturbance potential field equations of aeroelasticity and an operator theoretic treatment of the Possio integral equation in the generality of the Laplace transform variable λ. A key result is the new form of the kernel—which is shown to be analytic in the whole plane, excepting the negative real axis—using an existence and uniqueness theorem is proved valid for small |λ|. The main new feature is the use of spatial Lp-Lq Fourier transforms for 1<p<2 and Mikhlin multiplier theory.

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References

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Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 16Issue 4October 2003
Pages: 139 - 154

History

Received: Dec 13, 2002
Accepted: Feb 24, 2003
Published online: Sep 15, 2003
Published in print: Oct 2003

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Authors

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A. V. Balakrishnan
Professor, Dept. of Electrical Engineering, UCLA, Los Angeles, CA 90095.

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