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2000 Stochastic Weak Attractor for a Dissipative Euler Equation
Hakima Bessaih
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Electron. J. Probab. 5: 1-16 (2000). DOI: 10.1214/EJP.v5-59


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.


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Hakima Bessaih. "Stochastic Weak Attractor for a Dissipative Euler Equation." Electron. J. Probab. 5 1 - 16, 2000.


Accepted: 29 November 1999; Published: 2000
First available in Project Euclid: 7 March 2016

zbMATH: 0941.35073
MathSciNet: MR1743724
Digital Object Identifier: 10.1214/EJP.v5-59

Primary: 35Q35
Secondary: 37L55 , 60H15

Keywords: attractors , Dissipative Euler Equation , Random dynamical systems

Vol.5 • 2000
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