On the existence of a stationary measure for the stochastic system of the Lorenz model describing a baroclinic atmosphere
Yu Yu KlevtsovaS.L. Sobolev Institute for Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russian Federation
2013en
ABI
Abstract
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.
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Cited by 20 references