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Titlebook: Mathematics of Climate Modeling; Valentin P. Dymnikov,Aleksander N. Filatov Book 1997 Birkhäuser Boston 1997 Mathematica.atmosphere.climat

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978-1-4612-8674-5Birkhäuser Boston 1997
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Numerical Study of Structure of Attractor Generated by Barotropic Equations on Sphere,With the existence theorems concerning an attractor generated by a system of barotropic equations on sphere and those concerning an inertial manifold and an invariant measure at our disposal, we, unfortunately, have nothing to say at present about the structure of the attractor. We can only estimate the attractor dimension.
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Two-Layer Baroclinic Model,Let us consider the baroclinic atmosphere equations in .-system of coordinates:.or if we set ...
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Regimes of Atmosphere Circulation,The term “regime of atmosphere circulation” has long been in use by the meteorologists. It will suffice to remember the classification of the circulation regimes given by Dzerdzeevsky [23], Girs and Vangengeim [67]. The concepts of the circulation regimes such as blocking and zonal flow are well known [20].
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Dynamical Systems. Attractors, Invariant Measures,r such their properties which are typical of certain sufficiently wide classes of the models. From our standpoint the climate model is a system of partial differential equations with the corresponding boundary and initial conditions.
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Discretization of Systems Possessing Attractors,ystems. In connection with this the question emerges: what properties of the initial system are kept under such approximation. Since we consider the systems possessing attractors, the question must be answered first: what happens with attractors of such systems under above time-space discretization.
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