AIDJEX Bulletin #40 - Polar Science Center - University of Washington

-rm 1 0
I+]) ' cos 2y
-271 sin 2y
/I =
.,
0 -mzi
2 sin 2y R' - cos 2y
0 R' + cos 2y
11' sin 2y 2h cos 2y
0 0
0 0
-w 0
0 -mu
B' - COS 2y 0
0
0
(29)
0
0
and the inhomogeneous contribution is
F - =
0
0
Both the coefficients 4 and and the forcing function < depend on the solution,
but not derivatives. The system is quasi-linear and we can find
characteristics by considering the system locally. It is interesting to
note that air stress, water stress, Coriolis acceleration, and spatial variability
of p* do not affect the principal part of the governing equations,
but enter only the driving force on the right-hand side. This implies that
none of these forces can affect the existence or orientation of characteristics
(except that the driving forces affect the solutions, of course).
Characteristic curves have the following properties, each of which can
be used as a definition (Courant and Hilbert, 1962):
1. Along a characteristic curve the differential equation (or, for
systems, a linear combination of the equations) represents an interior
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