Differential and Integral Equations

Analysis of the Vón Kármán equations coupled with the viscous wave equation

Fabien Flori and Pierre Orenga

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Abstract

We present in this paper an existence result as well a numerical method for a fluid-structure interaction problem. The structure motion is governed by the Vón Kármán equations and the fluid behavior by the viscous wave equation.

Article information

Source
Differential Integral Equations Volume 13, Number 7-9 (2000), 813-826.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356061199

Mathematical Reviews number (MathSciNet)
MR1775235

Zentralblatt MATH identifier
0977.35140

Subjects
Primary: 35Q72
Secondary: 35A35: Theoretical approximation to solutions {For numerical analysis, see 65Mxx, 65Nxx} 65M70: Spectral, collocation and related methods 74F10: Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) 74H20: Existence of solutions 74K20: Plates 76D03: Existence, uniqueness, and regularity theory [See also 35Q30]

Citation

Flori, Fabien; Orenga, Pierre. Analysis of the Vón Kármán equations coupled with the viscous wave equation. Differential Integral Equations 13 (2000), no. 7-9, 813--826. https://projecteuclid.org/euclid.die/1356061199.


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