Some mathematical problems in oceans, atmospheres and global change.

Peter Rhines
Oceanography and Atmospheric Sciences, Univ. of Washington.

Abstract: The circulations of oceans and atmosphere present challenging problems of applied mathematics, combined with much physics and even chemistry and biology. Rossby wave theory provides a model for winds and currents. These are largely horizontal movements of air or water, over scales of hundreds to thousands of km. Weather systems, the Gulf Stream and even violent storms and changing climate have Rossby-wave 'images'. The general circulation itself is in many instances shaped by these waves.

A particular application, involving some interesting new instruments and 'vehicles' is to look at the interaction of the Arctic region with the rest of the world. A combination of theory, computer- and laboratory models, and field expeditions is now focusing on this region, where global warming is most severe.