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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Abstract

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

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

Dates
First available in Project Euclid: 19 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355926118

Mathematical Reviews number (MathSciNet)
MR2016648

Zentralblatt MATH identifier
1096.74014

Subjects
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]

Citation

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. https://projecteuclid.org/euclid.ade/1355926118.


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