Advances in Differential Equations

A transmission problem for fluid-structure interaction in the exterior of a thin domain

G. C. Hsiao and N. Nigam

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We study the behavior of weak solutions to a time-harmonic fluid-structure interaction problem in the exterior of a thin, elastic domain, in the limit of vanishing thickness. Boundary integral operators are used to reduce the exterior problem. Formal asymptotic expansions are developed and justified. The asymptotic procedure is simple, and involves the solution of a reduced exterior problem. Exact representation formulae for the elastic displacements in the thin domain are also provided.

Article information

Adv. Differential Equations, Volume 8, Number 11 (2003), 1281-1318.

First available in Project Euclid: 19 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 74F10: Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
Secondary: 35C05: Solutions in closed form 35Q35: PDEs in connection with fluid mechanics 76D08: Lubrication theory 76N10: Existence, uniqueness, and regularity theory [See also 35L60, 35L65, 35Q30]


Hsiao, G. C.; Nigam, N. A transmission problem for fluid-structure interaction in the exterior of a thin domain. Adv. Differential Equations 8 (2003), no. 11, 1281--1318.

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