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An Integral Equation in AeroElasticity

In: Functional Analysis and Evolution Equations

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  • Alampallam V. Balakrishnan

    (UCLA Department of Electrical Engineering and Flight Systems Research Center)

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

Suggested Citation

  • Alampallam V. Balakrishnan, 2007. "An Integral Equation in AeroElasticity," Springer Books, in: Herbert Amann & Wolfgang Arendt & Matthias Hieber & Frank M. Neubrander & Serge Nicaise & Joachim vo (ed.), Functional Analysis and Evolution Equations, pages 51-65, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7643-7794-6_4
    DOI: 10.1007/978-3-7643-7794-6_4
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