Abstract
The integral equation that plays a key role in AeroElasticity is known as the Possio Integral Equation, named after its discoverer. From its inception in 1938, this equation was formulated in the Fourier Transform domain using divergent integrals, until 2002 when a more precise formulation valid in a right half-plane was given. In this paper we express it in the time-domain, which requires the language of Functional Analysis, L p spaces, 1 < p < 2, and Semigroup Theory. A key role is played by the Finite Hilbert Transform and the Tricomi-Sohngen airfoil equation, which may actually be considered a special case.
Research supported in part under NSF Grant no. ECS-0400730.
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Balakrishnan, A.V. (2007). An Integral Equation in AeroElasticity. In: Amann, H., Arendt, W., Hieber, M., Neubrander, F.M., Nicaise, S., von Below, J. (eds) Functional Analysis and Evolution Equations. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7794-6_4
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DOI: https://doi.org/10.1007/978-3-7643-7794-6_4
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