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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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

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

First available in Project Euclid: 21 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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]


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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