Differential and Integral Equations

Stochastic PDE for nonlinear vibration of elastic panels

P. L. Chow and J. L. Menaldi

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Abstract

This paper is concerned with a nonlinear integro-partial differential equation perturbed by a state dependent white noise arising from the aeroelastic panel vibration. With the aid of a stochastic energy equation, the existence, uniqueness and regularity of solutions are proved.

Article information

Source
Differential Integral Equations, Volume 12, Number 3 (1999), 419-434.

Dates
First available in Project Euclid: 29 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367265219

Mathematical Reviews number (MathSciNet)
MR1674422

Zentralblatt MATH identifier
1006.60058

Subjects
Primary: 60H15: Stochastic partial differential equations [See also 35R60]
Secondary: 35R60: Partial differential equations with randomness, stochastic partial differential equations [See also 60H15] 74F10: Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) 74H50: Random vibrations

Citation

Chow, P. L.; Menaldi, J. L. Stochastic PDE for nonlinear vibration of elastic panels. Differential Integral Equations 12 (1999), no. 3, 419--434. https://projecteuclid.org/euclid.die/1367265219


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