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 Electronic Journal of Probability > Vol. 5 (2000) > Paper 3 open journal systems 


Stochastic Weak Attractor for a Dissipative Euler Equation

Hakima Bessaih, University Dini, Pisa


Abstract
In this paper a nonautonomous dynamical system is considered, a stochastic one that is obtained from the dissipative Euler equation subject to a stochastic perturbation, an additive noise. Absorbing sets have been defined as sets that depend on time and attracts from  $-infty$. A stochastic weak attractor is constructed in phase space with respect to two metrics and is compact in the lower one.
 


Full text: PDF

Pages: 1-16

Published on: November 29, 1999
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Electronic Journal of Probability. ISSN: 1083-6489