The uniqueness of a stationary measure for the stochastic system of the Lorenz model describing a baroclinic atmosphere

Yu. Yu. Klevtsova

Sbornik. Mathematics, Tome 206 (2015) no. 3, pp. 421-469

Résumé

The paper is concerned with a nonlinear system of partial differential equations with parameters. This system describes the two-layer quasi-solenoidal Lorenz model for a baroclinic atmosphere on a rotating two-dimensional sphere. The right-hand side of the system is perturbed by white noise. Sufficient conditions on the parameters and the right-hand side are obtained so that there exists a unique stationary measure. Bibliography: 40 titles.

Détail

Keywords: two-layer quasi-solenoidal Lorenz model for a baroclinic atmosphere, existence of a unique stationary measure.
Mots-clés : white noise perturbation

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