## Electronic Journal of Probability

### Stochastic Weak Attractor for a Dissipative Euler Equation

Hakima Bessaih

#### 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.

#### Article information

Source
Electron. J. Probab., Volume 5 (2000), paper no. 3, 16 pp.

Dates
Accepted: 29 November 1999
First available in Project Euclid: 7 March 2016

https://projecteuclid.org/euclid.ejp/1457376438

Digital Object Identifier
doi:10.1214/EJP.v5-59

Mathematical Reviews number (MathSciNet)
MR1743724

Zentralblatt MATH identifier
0941.35073

Rights

#### Citation

Bessaih, Hakima. Stochastic Weak Attractor for a Dissipative Euler Equation. Electron. J. Probab. 5 (2000), paper no. 3, 16 pp. doi:10.1214/EJP.v5-59. https://projecteuclid.org/euclid.ejp/1457376438

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