Geodesic
On the existence of a~stationary measure for the stochastic system of the Lorenz model describing a~baroclinic atmosphere
Sbornik. Mathematics, Tome 204 (2013) no. 9, pp. 1307-1331

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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 for the existence of a stationary measure. Bibliography: 25 titles.
Keywords: two-layer quasi-solenoidal Lorenz model for a baroclinic atmosphere, existence of a stationary measure.
Mots-clés : white noise perturbation 
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     author = {Yu. Yu. Klevtsova},
     title = {On the existence of a~stationary measure for the stochastic system of the {Lorenz} model describing a~baroclinic atmosphere},
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Yu. Yu. Klevtsova. On the existence of a~stationary measure for the stochastic system of the Lorenz model describing a~baroclinic atmosphere. Sbornik. Mathematics, Tome 204 (2013) no. 9, pp. 1307-1331. http://geodesic.mathdoc.fr/item/SM_2013_204_9_a3/