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Mathematics Colloquium


Date:  Tuesday, September 22, 2009

Title:  New PDE Reduced Models for Geophysical Flows

Abstract:  We review the mathematical structure of the PDEs governing atmosphere-ocean flows. Since these PDEs are fundamentally multi-scale, mathematical and physical understanding has been based largely on reduced models valid for limiting parameter regimes. One of the simplest such reduced models is the celebrated quasi-geostrophic (QG) equation. After explaining the QG model from several points of view, we will show how to derive a hierarchy of new PDE reduced models intermediate between QG and the full governing equations. We illustrate how the new reduced PDEs can be used to identify the nonlinear interactions primarily responsible for observed non-QG phenomena, such as cyclone/anticyclone asymmetry in geophysical flows.

Speaker:  Leslie Smith
Institution:  Univ of Wisconsin


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