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Almost sure and moment Lyapunov exponents for a stochastic beam equation

Article ID Journal Published Year Pages File Type
4592892 Journal of Functional Analysis 2007 45 Pages PDF
Abstract

The transverse vibrations of an Euler–Bernoulli beam with axial tension P and axial white noise forcing are given bymytt+mαyt+EIyxxxx−Pyxx=σ0yxxW˙(t),0

Keywords
Separation of variablesStochastic partial differential equationStochastic averagingLyapunov exponentEuler?Bernoulli beam
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Almost sure and moment Lyapunov exponents for a stochastic beam equation
Authors
Peter H. Baxendale, Marios Picas,
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Journal
Journal of Functional Analysis
Journal: Journal of Functional Analysis
Related Categories
Separation of variables
Stochastic partial differential equation
Stochastic averaging
Lyapunov exponent
Euler?Bernoulli beam
Algebra and Number Theory
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