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Title: On the existence of a stationary measure for the stochastic system of the Lorenz model describing a baroclinic atmosphere

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.
Authors:
 [1]
  1. Siberian Regional Hydrometeorological Research Institute, Novosibirsk (Russian Federation)
Publication Date:
OSTI Identifier:
22365969
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 204; Journal Issue: 9; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; LAYERS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; NOISE; NONLINEAR PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS; SPHERES; STOCHASTIC PROCESSES; TWO-DIMENSIONAL CALCULATIONS