Abstract
Two problems are discussed. One deals with Equilibrium States for Quasigeostrophic Flows with Random Topography. We consider 2D incompressible fluid flows in the quasigeostrophic approximation and show the existence of the statistical equilibria based on the joint Gaussian probability distribution of the stream function and the topography. We derive the differential equations for the 2-point correlators and find their explicit solutions. An interesting feature of our solution is the possibility of coherent structures in a fully developed inviscid turbulent flow. The second problem has to do with Topographic Rossby Waves Over Randomly Stratified bottom. The problem is reduced to the Helmholtz equation with random index of refraction. Statistics of wave field intensity are stidied in finite width layers, then the localization phenomena are shown in the entire randomly layered space. We also address the question of baroclinic influence on the equilibrium states and on the Rossby wave localization.
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© 1997 Springer-Verlag New York, Inc.
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Klyatskin, V., Gurarie, D. (1997). Random Topography in Geophysical Models. In: Molchanov, S.A., Woyczynski, W.A. (eds) Stochastic Models in Geosystems. The IMA Volumes in Mathematics and its Applications, vol 85. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8500-4_9
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DOI: https://doi.org/10.1007/978-1-4613-8500-4_9
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