Mathematical Analysis of Geophysical Balance Models



DON A. JONES
Department of Mathematics
Arizona State University
Tempe, AZ 85287-1804

http://math.la.asu.edu/~dajones/dajones.html
dajones@asu.edu



Abstract:  An analysis of an approximation to the rotating shallow-water equations is presented. The approximation removes the fast waves and is valid for physical boundaries but with prepared initial data. In particular, the equations are decomposed into a part describing the slow dynamics coupled to an equation describing the fast part. The basic idea is one of enslaving in which the fast part of the solution is expressed as a function of the slow part yielding an approximation to the slow dynamics.



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